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Strategy, PYQs & predictions

Exam strategy, previous-year analysis, and how the prediction engine actually works.

Mathematics artwork for the article: Coordinate Geometry JEE 2024: Tangent-Line Triangle
Past Paper Solutions

Coordinate Geometry JEE 2024: Tangent-Line Triangle

Find both tangent slopes, enforce equal side lengths with unit vectors and check both base directions to obtain the numerical answer 68.

Founder, JEEnius - IIT Kanpur Alumni · Oct 23, 2026 · 4 min read

Chemistry artwork for the article: Chemical Bonding JEE 2019: Bonds Between Like Atoms
Past Paper Solutions

Chemical Bonding JEE 2019: Bonds Between Like Atoms

Four molecules qualify in this JEE Advanced 2019 question; learn to identify direct same-element bonds and reject diborane's hydrogen bridges.

Founder, JEEnius - IIT Kanpur Alumni · Oct 23, 2026 · 4 min read

Physics artwork for the article: Electromagnetic Induction JEE 2023: LCR Matching Solution
Past Paper Solutions

Electromagnetic Induction JEE 2023: LCR Matching Solution

A worked JEE Advanced 2023 LCR solution covering resistance, quality factor, angular bandwidth and the distinction between peak and average power.

Founder, JEEnius - IIT Kanpur Alumni · Oct 23, 2026 · 4 min read

Mathematics artwork for the article: How to Study Dual Nature JEE: Six Steps and Practice
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How to Study Dual Nature JEE: Six Steps and Practice

Study Dual Nature through threshold checks, graph slopes and matter-wave ratios, then use a ten-question drill and an error log to test your preparation.

Founder, JEEnius - IIT Kanpur Alumni · Oct 23, 2026 · 6 min read

Mathematics artwork for the article: Three Dimensional Geometry JEE 2024: Closest Points and Dot Product
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Three Dimensional Geometry JEE 2024: Closest Points and Dot Product

Both lines pass through the origin: see why the closest-point dot product is 0, not 90, and practise three related drills.

Founder, JEEnius - IIT Kanpur Alumni · Oct 22, 2026 · 4 min read

Chemistry artwork for the article: Kinetic Theory of Gases JEE 2019: Why A, B and D Are Correct
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Kinetic Theory of Gases JEE 2019: Why A, B and D Are Correct

An option-by-option solution to the JEE Advanced 2019 gas-theory question, with separate checks for RMS speed and translational kinetic energy.

Founder, JEEnius - IIT Kanpur Alumni · Oct 22, 2026 · 4 min read

Physics artwork for the article: Dimensional Analysis JEE 2023: Young’s Modulus Solution
Past Paper Solutions

Dimensional Analysis JEE 2023: Young’s Modulus Solution

A worked solution to the JEE Advanced 2023 Young’s modulus question, with exponent equations, sign-error checks and two practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Oct 22, 2026 · 4 min read

Mathematics artwork for the article: How to Study Differentiation JEE: Rules and Practice
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How to Study Differentiation JEE: Rules and Practice

A step-by-step JEE differentiation plan covering rule selection, worked examples, exceptional points and a focused 10-question practice set.

Founder, JEEnius - IIT Kanpur Alumni · Oct 22, 2026 · 5 min read

Mathematics artwork for the article: Electromagnetic Induction Practice Questions JEE: 5 Drills
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Electromagnetic Induction Practice Questions JEE: 5 Drills

Use five original EMI drills with worked solutions to identify flux, direction and energy errors before moving to authentic JEE PYQs.

Founder, JEEnius - IIT Kanpur Alumni · Oct 22, 2026 · 8 min read

Mathematics artwork for the article: Cartesian Coordinates JEE 2024: Auditing the Answer
Past Paper Solutions

Cartesian Coordinates JEE 2024: Auditing the Answer

Audit a disputed coordinate geometry solution using vertex placement, line intersections and substitution checks, then solve three original practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Oct 21, 2026 · 4 min read

Chemistry artwork for the article: Radioactive Decay Series JEE 2019: B, C and D Explained
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Radioactive Decay Series JEE 2019: B, C and D Explained

Identify all four emissions in JEE Advanced 2019 Chemistry Q.8, recover uranium-234 and verify the correct options: B, C and D.

Founder, JEEnius - IIT Kanpur Alumni · Oct 21, 2026 · 4 min read

Physics artwork for the article: Laws of Motion JEE 2023: Velocity-Field Force Solution
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Laws of Motion JEE 2023: Velocity-Field Force Solution

A worked solution to the JEE Advanced 2023 velocity-field question, with component-wise differentiation, the option C trap and two practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Oct 21, 2026 · 4 min read

Mathematics artwork for the article: How to Study Differential Equations JEE: Methods and Checks
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How to Study Differential Equations JEE: Methods and Checks

Classify differential equations, choose the right method, and verify solutions with worked examples and a staged JEE practice plan.

Founder, JEEnius - IIT Kanpur Alumni · Oct 21, 2026 · 6 min read

Mathematics artwork for the article: Electrochemistry Practice Questions JEE: 6 Solved Drills
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Electrochemistry Practice Questions JEE: 6 Solved Drills

Attempt six original electrochemistry questions, check the worked solutions, and use your setup errors to choose between concept drills, authenticated PYQs and full-length mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 21, 2026 · 8 min read

Mathematics artwork for the article: Quadratic Equations JEE 2024: Checking a Flawed Solution
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Quadratic Equations JEE 2024: Checking a Flawed Solution

Check a flawed quadratic solution using Vieta’s formulas, root separation, domain restrictions and two original practice questions.

Founder, JEEnius - IIT Kanpur Alumni · Oct 20, 2026 · 4 min read

Chemistry artwork for the article: Solutions JEE 2019: Benzene Freezing-Point Depression
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Solutions JEE 2019: Benzene Freezing-Point Depression

Solve the benzene PYQ using exact mole ratios and molality, and check the supplied 1.02 K answer against the calculation.

Founder, JEEnius - IIT Kanpur Alumni · Oct 20, 2026 · 4 min read

Physics artwork for the article: Kinetic Theory of Gases JEE 2023: Why Option C Is Correct
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Kinetic Theory of Gases JEE 2023: Why Option C Is Correct

See why option C is correct using equipartition, heat capacities and sound speed, with the common-molar-mass assumption made explicit.

Founder, JEEnius - IIT Kanpur Alumni · Oct 20, 2026 · 4 min read

Mathematics artwork for the article: How to Study Determinants JEE: Operations and Practice
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How to Study Determinants JEE: Operations and Practice

Learn to choose legal row operations, factor variable determinants and check singular cases before moving from drills to JEE previous-year questions.

Founder, JEEnius - IIT Kanpur Alumni · Oct 20, 2026 · 6 min read

Mathematics artwork for the article: Dual Nature Practice Questions JEE: 6 Worked Solutions
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Dual Nature Practice Questions JEE: 6 Worked Solutions

Six original Dual Nature questions with worked solutions to diagnose concept, unit, graph and momentum errors before JEE Main or Advanced practice.

Founder, JEEnius - IIT Kanpur Alumni · Oct 20, 2026 · 8 min read

Mathematics artwork for the article: Equation of a Line JEE 2024: Perpendicular Distance
Past Paper Solutions

Equation of a Line JEE 2024: Perpendicular Distance

Build a 3D line using a cross product, then subtract the squared parallel projection to find the perpendicular distance of √74.

Founder, JEEnius - IIT Kanpur Alumni · Oct 19, 2026 · 4 min read

Chemistry artwork for the article: Equilibrium JEE 2019: FeS Answer and Worked Solution
Past Paper Solutions

Equilibrium JEE 2019: FeS Answer and Worked Solution

A worked solution to the JEE Advanced 2019 FeS question, separating dilution, precipitation and equilibrium to obtain the coefficient 8.93.

Founder, JEEnius - IIT Kanpur Alumni · Oct 19, 2026 · 4 min read

Physics artwork for the article: System JEE 2023: Tossed-Coin Problem Solved
Past Paper Solutions

System JEE 2023: Tossed-Coin Problem Solved

Solve the JEE Advanced 2023 tossed-coin question using linear impulse, angular impulse and full flight time to obtain 30 rotations.

Founder, JEEnius - IIT Kanpur Alumni · Oct 19, 2026 · 4 min read

Mathematics artwork for the article: How to Study Definite Integration JEE: A Practice Plan
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How to Study Definite Integration JEE: A Practice Plan

Learn to choose and justify the first move in JEE definite integrals using symmetry, sign analysis, substitution and a focused error log.

Founder, JEEnius - IIT Kanpur Alumni · Oct 19, 2026 · 5 min read

Mathematics artwork for the article: Differentiation Practice Questions JEE: 6 Worked Solutions
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Differentiation Practice Questions JEE: 6 Worked Solutions

Solve six original differentiation questions, identify rule and differentiability errors, and choose between drills, mixed PYQs and full-length mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 19, 2026 · 8 min read

Mathematics artwork for the article: Differential Equations JEE 2024: 1 February Shift 2
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Differential Equations JEE 2024: 1 February Shift 2

Solve the 1 February 2024 Shift 2 differential equation using exponential substitution, a parameter sign check and the limiting condition.

Founder, JEEnius - IIT Kanpur Alumni · Oct 18, 2026 · 4 min read

Chemistry artwork for the article: Polymers JEE 2019: Why B and D Are Correct
Past Paper Solutions

Polymers JEE 2019: Why B and D Are Correct

Solve the JEE Advanced 2019 polymer question by checking monomers, glucose configuration, rubber stereochemistry and amide linkages.

Founder, JEEnius - IIT Kanpur Alumni · Oct 18, 2026 · 4 min read

Physics artwork for the article: Oscillations and Waves JEE 2023: String Tension Solution
Past Paper Solutions

Oscillations and Waves JEE 2023: String Tension Solution

Use successive harmonics to find the 5 N string tension in JEE Advanced 2023 Paper 2.

Founder, JEEnius - IIT Kanpur Alumni · Oct 18, 2026 · 4 min read

Mathematics artwork for the article: How to Study D Block JEE: Derive, Recall and Practise
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How to Study D Block JEE: Derive, Recall and Practise

Separate d-block calculations from recall, then practise configurations, magnetism and medium-dependent redox reactions for JEE.

Founder, JEEnius - IIT Kanpur Alumni · Oct 18, 2026 · 6 min read

Mathematics artwork for the article: Differential Equations Practice Questions JEE: 5 Solved Drills
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Differential Equations Practice Questions JEE: 5 Solved Drills

Attempt five original differential equations questions with worked solutions, diagnose method errors and decide when to move to JEE PYQs or full mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 18, 2026 · 8 min read

Mathematics artwork for the article: Conic Sections JEE 2024: Focus, Area and Missing Data
Past Paper Solutions

Conic Sections JEE 2024: Focus, Area and Missing Data

Use the focus, diameter midpoint and determinant to derive the squared area and identify the condition needed for the keyed answer 36.

Founder, JEEnius - IIT Kanpur Alumni · Oct 17, 2026 · 4 min read

Physics artwork for the article: Dimensional Analysis JEE 2024: Advanced Paper 1 Solution
Past Paper Solutions

Dimensional Analysis JEE 2024: Advanced Paper 1 Solution

Derive the exponent tuple for the JEE Advanced 2024 dimensionless product, check option A and learn why a current-only check fails.

Founder, JEEnius - IIT Kanpur Alumni · Oct 17, 2026 · 4 min read

Chemistry artwork for the article: Qualitative Analysis JEE 2019: Zinc Reactions Solved
Past Paper Solutions

Qualitative Analysis JEE 2019: Zinc Reactions Solved

Solve the JEE Advanced 2019 zinc question by identifying products first, then verifying why B, C and D are correct.

Founder, JEEnius - IIT Kanpur Alumni · Oct 17, 2026 · 4 min read

Physics artwork for the article: How to Study Current Electricity JEE: A Practice Plan
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How to Study Current Electricity JEE: A Practice Plan

A step-by-step Current Electricity study plan covering prerequisites, circuit methods, worked examples and error checks for JEE.

Founder, JEEnius - IIT Kanpur Alumni · Oct 17, 2026 · 6 min read

Mathematics artwork for the article: Determinants Practice Questions JEE: 5 Solved Drills
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Determinants Practice Questions JEE: 5 Solved Drills

Attempt five original determinant drills with worked solutions, identify your errors and choose between targeted practice, chapterwise PYQs and full-length mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 17, 2026 · 7 min read

Mathematics artwork for the article: Geometry of Rectangles JEE 2024: Why the Answer Is 72
Past Paper Solutions

Geometry of Rectangles JEE 2024: Why the Answer Is 72

Use projections to solve the rotated-rectangle problem, prove the maximum area is 18, and calculate the requested answer of 72.

Founder, JEEnius - IIT Kanpur Alumni · Oct 16, 2026 · 4 min read

Chemistry artwork for the article: Mole Fraction and Molarity JEE 2019: Urea Solution
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Mole Fraction and Molarity JEE 2019: Urea Solution

A worked urea solution problem showing how mole fraction, total solution mass and density give molarity without mixing denominators.

Founder, JEEnius - IIT Kanpur Alumni · Oct 16, 2026 · 4 min read

Physics artwork for the article: Thermodynamics JEE 2024: Two-Tank Emptying Time Ratio
Past Paper Solutions

Thermodynamics JEE 2024: Two-Tank Emptying Time Ratio

A step-by-step fluid-flow solution to the JEE Advanced 2024 two-tank question, with the correct heads, draining integrals and time ratio of 3.

Founder, JEEnius - IIT Kanpur Alumni · Oct 16, 2026 · 4 min read

Mathematics artwork for the article: How to Study Coordination Compounds JEE: Six Steps
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How to Study Coordination Compounds JEE: Six Steps

Study Coordination Compounds in six steps, starting with charge and donor count, then test naming, isomerism, geometry and magnetism through worked examples.

Founder, JEEnius - IIT Kanpur Alumni · Oct 16, 2026 · 6 min read

Mathematics artwork for the article: Definite Integration Practice Questions JEE: 5 Solved Drills
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Definite Integration Practice Questions JEE: 5 Solved Drills

Five original JEE definite integration drills with worked solutions help you diagnose method errors and choose between targeted practice, PYQs and mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 16, 2026 · 8 min read

Mathematics artwork for the article: Sequence and Series JEE 2024: No Finite Minimum
Past Paper Solutions

Sequence and Series JEE 2024: No Finite Minimum

Derive the power-sum recurrence, identify an invalid cancellation and prove that the supplied expression is unbounded below.

Founder, JEEnius - IIT Kanpur Alumni · Oct 15, 2026 · 4 min read

Chemistry artwork for the article: Structure of Atom JEE 2019: He+ Nodes and 4d Solution
Past Paper Solutions

Structure of Atom JEE 2019: He+ Nodes and 4d Solution

He+ is in a 4d state with two angular nodes and one radial node, so A and B only are correct.

Founder, JEEnius - IIT Kanpur Alumni · Oct 15, 2026 · 4 min read

Physics artwork for the article: X-rays and Moseley's Law JEE 2024: Wavelength Ratio
Past Paper Solutions

X-rays and Moseley's Law JEE 2024: Wavelength Ratio

Solve the JEE Advanced 2024 X-ray question using Moseley's law, a fixed cut-off wavelength and the correct ratio multiplier.

Founder, JEEnius - IIT Kanpur Alumni · Oct 15, 2026 · 4 min read

Mathematics artwork for the article: How to Study Continuity JEE: Six Steps and Examples
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How to Study Continuity JEE: Six Steps and Examples

Check domains, compare one-sided limits with point values and practise continuity through three worked JEE-style examples.

Founder, JEEnius - IIT Kanpur Alumni · Oct 15, 2026 · 6 min read

Mathematics artwork for the article: D Block Practice Questions JEE: 6 Free Solved Questions
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D Block Practice Questions JEE: 6 Free Solved Questions

Attempt six original d-block questions with worked explanations, then use your errors to choose NCERT drills, verified PYQs or timed mixed sets.

Founder, JEEnius - IIT Kanpur Alumni · Oct 15, 2026 · 8 min read

Mathematics artwork for the article: Adjoint and Inverse JEE 2025: Why the Answer Is 280
Past Paper Solutions

Adjoint and Inverse JEE 2025: Why the Answer Is 280

Reduce the double adjoint to 8A, calculate the determinant and trace, and check why option [4], 280, beats the earlier key of 132.

Founder, JEEnius - IIT Kanpur Alumni · Oct 14, 2026 · 4 min read

Chemistry artwork for the article: The p-Block Elements JEE 2019: Sulphur Question Solved
Past Paper Solutions

The p-Block Elements JEE 2019: Sulphur Question Solved

One mole of rhombic sulphur produces 288.00 g of water: follow the balanced equation and avoid the 36 g mole-basis error.

Founder, JEEnius - IIT Kanpur Alumni · Oct 14, 2026 · 4 min read

Physics artwork for the article: Atoms and Nuclei JEE 2024: Uranium–Lead Age Calculation
Past Paper Solutions

Atoms and Nuclei JEE 2024: Uranium–Lead Age Calculation

Convert the uranium–lead mass ratio into atom counts, apply radioactive decay and track the approximation behind P ≈ 142.65.

Founder, JEEnius - IIT Kanpur Alumni · Oct 14, 2026 · 4 min read

Mathematics artwork for the article: How to Study Complex Numbers JEE: A Five-Step Plan
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How to Study Complex Numbers JEE: A Five-Step Plan

Study Complex Numbers for JEE in five steps, choosing the right representation and checking restrictions through reciprocal, locus and roots examples.

Founder, JEEnius - IIT Kanpur Alumni · Oct 14, 2026 · 5 min read

Physics artwork for the article: Current Electricity Practice Questions JEE: 5 Solved Drills
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Current Electricity Practice Questions JEE: 5 Solved Drills

Attempt five original Current Electricity questions with worked solutions, then use your first incorrect step to choose concept drills, verified PYQs or full mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 14, 2026 · 8 min read

Mathematics artwork for the article: Differentiation Rules JEE 2025: Worked Tangent-Sum Limit
Past Paper Solutions

Differentiation Rules JEE 2025: Worked Tangent-Sum Limit

A worked infinite tangent-sum limit using Taylor expansions, geometric series and a uniform remainder bound, with three related practice questions.

Founder, JEEnius - IIT Kanpur Alumni · Oct 13, 2026 · 4 min read

Chemistry artwork for the article: P-Block Elements JEE 2019: Gold Extraction Explained
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P-Block Elements JEE 2019: Gold Extraction Explained

Work through the JEE Advanced 2019 gold-extraction question using balanced reactions to identify the reagents, complexes and correct options.

Founder, JEEnius - IIT Kanpur Alumni · Oct 13, 2026 · 5 min read

Physics artwork for the article: Electromagnetic Waves JEE 2025: Photon Question Solved
Past Paper Solutions

Electromagnetic Waves JEE 2025: Photon Question Solved

Solve the JEE Advanced 2025 photon question to get 22.98, with a clear derivation of average energy density and the peak-versus-RMS distinction.

Founder, JEEnius - IIT Kanpur Alumni · Oct 13, 2026 · 4 min read

Mathematics artwork for the article: How to Study Circles JEE: A Six-Step Plan
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How to Study Circles JEE: A Six-Step Plan

Study Circles in dependency order, choose shorter methods for chords and tangents, and use a ten-question diagnostic to target weak areas.

Founder, JEEnius - IIT Kanpur Alumni · Oct 13, 2026 · 5 min read

Mathematics artwork for the article: Coordination Compounds Practice Questions JEE: 6 Solved
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Coordination Compounds Practice Questions JEE: 6 Solved

Try six original coordination compounds questions, check worked solutions and use each error to choose between NCERT exercises and JEE PYQs.

Founder, JEEnius - IIT Kanpur Alumni · Oct 13, 2026 · 8 min read

Mathematics artwork for the article: Complex Numbers JEE 2025: Determinant and Modulus Solution
Past Paper Solutions

Complex Numbers JEE 2025: Determinant and Modulus Solution

Expand the determinant, apply cube-root identities and check the modulus condition to see why neither admissible ordered pair works.

Founder, JEEnius - IIT Kanpur Alumni · Oct 12, 2026 · 4 min read

Chemistry artwork for the article: Chemical Kinetics JEE 2019: N₂O₅ Pressure-Data Solution
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Chemical Kinetics JEE 2019: N₂O₅ Pressure-Data Solution

A worked solution to the JEE Advanced 2019 N₂O₅ decomposition question, with pressure bookkeeping, the first-order law and the factor-of-two error explained.

Founder, JEEnius - IIT Kanpur Alumni · Oct 12, 2026 · 4 min read

Physics artwork for the article: Laws of Motion JEE 2025: Elevator Scale Readings
Past Paper Solutions

Laws of Motion JEE 2025: Elevator Scale Readings

A worked solution to the JEE Advanced 2025 elevator question, showing why the scale readings range from 499 N to 501 N.

Founder, JEEnius - IIT Kanpur Alumni · Oct 12, 2026 · 4 min read

Mathematics artwork for the article: How to Study Chemical Kinetics JEE: Laws and Practice
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How to Study Chemical Kinetics JEE: Laws and Practice

Study Chemical Kinetics for JEE by identifying evidence, choosing the right rate law and checking units before moving to mixed practice.

Founder, JEEnius - IIT Kanpur Alumni · Oct 12, 2026 · 6 min read

Mathematics artwork for the article: Continuity Practice Questions JEE: 6 Solved Exercises
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Continuity Practice Questions JEE: 6 Solved Exercises

Practise six original JEE continuity questions with guided solutions, a mixed test and a question-by-question error repair plan.

Founder, JEEnius - IIT Kanpur Alumni · Oct 12, 2026 · 7 min read

Mathematics artwork for the article: Definite Integrals JEE 2025: Shifted Sine and Floor Functions
Past Paper Solutions

Definite Integrals JEE 2025: Shifted Sine and Floor Functions

Solve a shifted-sine and floor-function integral using periodicity, integer crossings and interval areas to obtain alpha = 14π.

Founder, JEEnius - IIT Kanpur Alumni · Oct 11, 2026 · 4 min read

Chemistry artwork for the article: Ionic Equilibrium JEE 2023: Solubility and pKa Solution
Past Paper Solutions

Ionic Equilibrium JEE 2023: Solubility and pKa Solution

Solve the JEE Advanced 2023 Paper 1 solubility question using Ksp, anion balance and acid equilibrium to obtain pKa 4.

Founder, JEEnius - IIT Kanpur Alumni · Oct 11, 2026 · 4 min read

Physics artwork for the article: Wave Optics JEE 2025: Single-Slit Absolute Error
Past Paper Solutions

Wave Optics JEE 2025: Single-Slit Absolute Error

Solve the JEE Advanced 2025 single-slit numerical using the supplied relation and first-order maximum-error rule to obtain 75.6 μm.

Founder, JEEnius - IIT Kanpur Alumni · Oct 11, 2026 · 4 min read

Mathematics artwork for the article: How to Study Chemical Bonding JEE: A Step-by-Step Plan
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How to Study Chemical Bonding JEE: A Step-by-Step Plan

A practical study order for Chemical Bonding, with model selection, worked examples and targeted revision for JEE Main and Advanced.

Founder, JEEnius - IIT Kanpur Alumni · Oct 11, 2026 · 7 min read

Mathematics artwork for the article: Complex Numbers Practice Questions JEE: 6 Worked Solutions
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Complex Numbers Practice Questions JEE: 6 Worked Solutions

Six original complex numbers questions with worked solutions help you identify errors and choose between concept drills, verified PYQs and mixed practice.

Founder, JEEnius - IIT Kanpur Alumni · Oct 11, 2026 · 7 min read

Mathematics artwork for the article: Permutations and Combinations JEE 2025: Prime Products
Past Paper Solutions

Permutations and Combinations JEE 2025: Prime Products

Work through the prime-product count of 5120 ordered pairs, identify the double-counting error and check why the source needs verification.

Founder, JEEnius - IIT Kanpur Alumni · Oct 10, 2026 · 5 min read

Chemistry artwork for the article: Chemical Thermodynamics JEE 2023: Compressibility Factor
Past Paper Solutions

Chemical Thermodynamics JEE 2023: Compressibility Factor

A worked JEE Advanced 2023 solution using compressibility factor to find pressure, ideal molar volume and the numerical answer 100.

Founder, JEEnius - IIT Kanpur Alumni · Oct 10, 2026 · 4 min read

Physics artwork for the article: Atoms and Nuclei JEE 2025: Positronium Energy Balance
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Atoms and Nuclei JEE 2025: Positronium Energy Balance

Solve the JEE Advanced 2025 positronium question by separating translational kinetic energy, internal energy and photon energy to obtain 11.80 eV.

Founder, JEEnius - IIT Kanpur Alumni · Oct 10, 2026 · 4 min read

Mathematics artwork for the article: How to Study Carboxylic Acids JEE: Acidity and Reactions
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How to Study Carboxylic Acids JEE: Acidity and Reactions

Study carboxylic acids through conjugate-base stability, reaction sites and carbon counts, then use targeted questions to fix weak rules.

Founder, JEEnius - IIT Kanpur Alumni · Oct 10, 2026 · 6 min read

Mathematics artwork for the article: Circles Practice Questions JEE: 5 Worked Examples
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Circles Practice Questions JEE: 5 Worked Examples

Five original Circles questions with worked solutions help you identify errors and choose your next drills or JEE PYQs.

Founder, JEEnius - IIT Kanpur Alumni · Oct 10, 2026 · 7 min read

Mathematics artwork for the article: Equation of a Line JEE 2025: Why the Ratio Is 7
Past Paper Solutions

Equation of a Line JEE 2025: Why the Ratio Is 7

Work through the JEE Main 23 January 2025 afternoon-shift vector question, verify the ratio 7, and avoid the missing quadratic term that gives 14.

Founder, JEEnius - IIT Kanpur Alumni · Oct 9, 2026 · 4 min read

Chemistry artwork for the article: The P-Block Elements JEE 2023: Matching Question Solved
Past Paper Solutions

The P-Block Elements JEE 2023: Matching Question Solved

A worked solution to the JEE Advanced 2023 phosphorus matching question, with balanced equations and the reaction rule that separates options A and D.

Founder, JEEnius - IIT Kanpur Alumni · Oct 9, 2026 · 4 min read

Physics artwork for the article: Dimensional Analysis JEE 2020: Why A and B Are Correct
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Dimensional Analysis JEE 2020: Why A and B Are Correct

A step-by-step solution to the JEE Advanced 2020 dimensional analysis question, with all four options checked and three related practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Oct 9, 2026 · 4 min read

Mathematics artwork for the article: How to Study Biomolecules JEE: A Six-Step NCERT Plan
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How to Study Biomolecules JEE: A Six-Step NCERT Plan

Separate recall from structural reasoning, build one comparison sheet and repair Biomolecules errors with targeted JEE practice.

Founder, JEEnius - IIT Kanpur Alumni · Oct 9, 2026 · 7 min read

Mathematics artwork for the article: Chemical Kinetics Practice Questions JEE: 6 Worked Examples
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Chemical Kinetics Practice Questions JEE: 6 Worked Examples

Solve six original kinetics questions with worked solutions, identify the first incorrect step, and choose between drills, Main PYQs and Advanced PYQs.

Founder, JEEnius - IIT Kanpur Alumni · Oct 9, 2026 · 8 min read

Mathematics artwork for the article: Differential Equations JEE 2025: Why the Key's 16 Fails
Past Paper Solutions

Differential Equations JEE 2025: Why the Key's 16 Fails

A worked source check solves the supplied equation, tracks the integration constant and uses a bound to reject the key's 16.

Founder, JEEnius - IIT Kanpur Alumni · Oct 8, 2026 · 4 min read

Chemistry artwork for the article: Properties JEE 2023: Cubic Unit Cell Question Solved
Past Paper Solutions

Properties JEE 2023: Cubic Unit Cell Question Solved

A worked solution to the JEE Advanced 2023 cubic-unit-cell question, separating packing efficiency, edge length and mass density.

Founder, JEEnius - IIT Kanpur Alumni · Oct 8, 2026 · 4 min read

Physics artwork for the article: Oscillations and Waves JEE 2020: Tuning Fork Solution
Past Paper Solutions

Oscillations and Waves JEE 2020: Tuning Fork Solution

Work through the JEE Advanced 2020 tuning-fork question, from the moving-source Doppler formula to the approximate 0.63% pipe-length decrease.

Founder, JEEnius - IIT Kanpur Alumni · Oct 8, 2026 · 4 min read

Mathematics artwork for the article: How to Study Binomial Theorem JEE: Six Practical Steps
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How to Study Binomial Theorem JEE: Six Practical Steps

Study Binomial Theorem through exponent matching, adjacent-term ratios and coefficient-sum transformations, then practise a targeted ten-question mix.

Founder, JEEnius - IIT Kanpur Alumni · Oct 8, 2026 · 6 min read

Mathematics artwork for the article: Chemical Bonding Practice Questions JEE: 6 Worked Examples
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Chemical Bonding Practice Questions JEE: 6 Worked Examples

Try six original Chemical Bonding questions with worked solutions, identify weak concepts and choose your next NCERT or JEE PYQ practice.

Founder, JEEnius - IIT Kanpur Alumni · Oct 8, 2026 · 10 min read

Mathematics artwork for the article: Three Dimensional Geometry JEE 2026: Squared Length of CD
Past Paper Solutions

Three Dimensional Geometry JEE 2026: Squared Length of CD

Find both endpoints using separate line parameters, prove that CD has squared length 290, and avoid confusing a direction vector with displacement.

Founder, JEEnius - IIT Kanpur Alumni · Oct 7, 2026 · 4 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2023: H2S Solution
Past Paper Solutions

Redox Reactions and Electrochemistry JEE 2023: H2S Solution

A worked JEE Advanced 2023 solution showing why 5 mol of H2S forms 8 mol of water and transfers 10 mol of electrons, giving 18.

Founder, JEEnius - IIT Kanpur Alumni · Oct 7, 2026 · 4 min read

Physics artwork for the article: Atoms and Nuclei JEE 2020: Circular-Orbit Solution
Past Paper Solutions

Atoms and Nuclei JEE 2020: Circular-Orbit Solution

A worked solution to the JEE Advanced 2020 linear-potential orbit problem, with Bohr quantisation, the B and C derivation and two practice questions.

Founder, JEEnius - IIT Kanpur Alumni · Oct 7, 2026 · 4 min read

Physics artwork for the article: How to Study Atoms JEE: Models, Energy Gaps and Practice
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How to Study Atoms JEE: Models, Energy Gaps and Practice

A six-step plan for JEE Physics Atoms, with model selection, three worked examples and checks for energy gaps, units and spectral lines.

Founder, JEEnius - IIT Kanpur Alumni · Oct 7, 2026 · 6 min read

Mathematics artwork for the article: Carboxylic Acids Practice Questions JEE: 6 Worked MCQs
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Carboxylic Acids Practice Questions JEE: 6 Worked MCQs

Attempt six original carboxylic acids MCQs, check the reasoning and choose chapter revision, authentic PYQs or full mocks based on your errors.

Founder, JEEnius - IIT Kanpur Alumni · Oct 7, 2026 · 9 min read

Mathematics artwork for the article: Binomial Theorem JEE 2026: Weighted Sums by Integration
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Binomial Theorem JEE 2026: Weighted Sums by Integration

Use integration to evaluate the weighted binomial sum, catch the factor-of-two slip and sum 25 reciprocals to get 675.

Founder, JEEnius - IIT Kanpur Alumni · Oct 6, 2026 · 4 min read

Chemistry artwork for the article: Atomic Structure JEE 2023: Helium-Ion Wavelength Solution
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Atomic Structure JEE 2023: Helium-Ion Wavelength Solution

A worked solution to the JEE Advanced 2023 helium-ion question, from orbit radii to the 30 nm wavelength, with charge-factor checks and two practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Oct 6, 2026 · 4 min read

Physics artwork for the article: Properties JEE 2020: Train-and-Tunnel Solution
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Properties JEE 2020: Train-and-Tunnel Solution

A train-frame solution to the JEE Advanced 2020 tunnel problem, with continuity, Bernoulli and the coefficient match that gives N = 9.

Founder, JEEnius - IIT Kanpur Alumni · Oct 6, 2026 · 4 min read

Mathematics artwork for the article: How to Study Atomic Structure JEE: A Six-Step Plan
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How to Study Atomic Structure JEE: A Six-Step Plan

Study Atomic Structure in dependency order, choose the right model and use worked examples and an error log to fix specific JEE mistakes.

Founder, JEEnius - IIT Kanpur Alumni · Oct 6, 2026 · 6 min read

Mathematics artwork for the article: Biomolecules Practice Questions JEE: 6 Worked MCQs
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Biomolecules Practice Questions JEE: 6 Worked MCQs

Six original JEE Main-oriented Biomolecules MCQs with worked solutions and a clear route from concept repair to authentic PYQs.

Founder, JEEnius - IIT Kanpur Alumni · Oct 6, 2026 · 8 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2026: Key Audit
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Limit, Continuity and Differentiability JEE 2026: Key Audit

Check why the printed limit cannot support the listed answer 7, then practise expansions with two solvable related questions.

Founder, JEEnius - IIT Kanpur Alumni · Oct 5, 2026 · 4 min read

Chemistry artwork for the article: Solutions JEE 2023: Urea Mixing and Osmotic Pressure
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Solutions JEE 2023: Urea Mixing and Osmotic Pressure

Work through the JEE Advanced 2023 urea-mixing numerical to get 682 Torr using solvent mass, density, total moles and final solution volume.

Founder, JEEnius - IIT Kanpur Alumni · Oct 5, 2026 · 4 min read

Physics artwork for the article: X-rays and X-ray Tube JEE 2020: Why A and C Are Correct
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X-rays and X-ray Tube JEE 2020: Why A and C Are Correct

Work through the JEE Advanced 2020 X-ray tube question by separating cut-off wavelength, characteristic lines and intensity.

Founder, JEEnius - IIT Kanpur Alumni · Oct 5, 2026 · 5 min read

Apps And Tools artwork for the article: How to Study Application of Derivatives JEE: 6 Steps
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How to Study Application of Derivatives JEE: 6 Steps

Learn a six-step method for JEE Application of Derivatives, from domain checks and sign charts to extrema, parameters and optimisation.

Founder, JEEnius - IIT Kanpur Alumni · Oct 5, 2026 · 6 min read

Mathematics artwork for the article: Binomial Theorem Practice Questions JEE: 8 Worked Solutions
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Binomial Theorem Practice Questions JEE: 8 Worked Solutions

Attempt eight original Binomial Theorem questions, check worked solutions and use your first incorrect step to choose drills, PYQs or mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 5, 2026 · 8 min read

Mathematics artwork for the article: Differential Equations JEE 2026: Option D and the Mismatch
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Differential Equations JEE 2026: Option D and the Mismatch

Follow the supplied reduction to option D, check why the printed coefficient does not support it, and avoid the bracket-division error that gives option C.

Founder, JEEnius - IIT Kanpur Alumni · Oct 4, 2026 · 4 min read

Chemistry artwork for the article: Thermodynamics JEE 2023: Phase Transition Enthalpy at 300 K
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Thermodynamics JEE 2023: Phase Transition Enthalpy at 300 K

A worked solution to the JEE Advanced 2023 phase-transition question: find the enthalpy at 600 K, then use Kirchhoff's law to reach 300 J/mol.

Founder, JEEnius - IIT Kanpur Alumni · Oct 4, 2026 · 4 min read

Physics artwork for the article: Gravitation JEE 2020: Aluminium Cube Contraction Explained
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Gravitation JEE 2020: Aluminium Cube Contraction Explained

Solve the JEE Advanced 2020 aluminium-cube question using pressure change, bulk modulus and the factor of three between volume and linear strain.

Founder, JEEnius - IIT Kanpur Alumni · Oct 4, 2026 · 4 min read

Mathematics artwork for the article: How to Study Amines JEE: Basicity, Reactions and Tests
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How to Study Amines JEE: Basicity, Reactions and Tests

Build an Amines reaction map for JEE, then practise basicity, carbon counting and identification tests using four decision checks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 4, 2026 · 7 min read

Mathematics artwork for the article: Atoms Practice Questions JEE: 4 Solved Physics Drills
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Atoms Practice Questions JEE: 4 Solved Physics Drills

Practise four original Physics Atoms drills with worked solutions, then choose authenticated PYQs or full mocks based on your errors.

Founder, JEEnius - IIT Kanpur Alumni · Oct 4, 2026 · 8 min read

Mathematics artwork for the article: Ellipse – Focal Distances JEE 2026: Why 13 Is Unproven
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Ellipse – Focal Distances JEE 2026: Why 13 Is Unproven

Check why the supplied key's 13 is unverified, then use focal sums and coordinate identities to solve two fully specified ellipse problems.

Founder, JEEnius - IIT Kanpur Alumni · Oct 3, 2026 · 4 min read

Chemistry artwork for the article: Chemical Kinetics JEE 2024: Why the Overall Order Is 3
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Chemical Kinetics JEE 2024: Why the Overall Order Is 3

Derive the third-order rate law for the JEE Advanced 2024 mechanism question by eliminating the intermediate using fast equilibrium.

Founder, JEEnius - IIT Kanpur Alumni · Oct 3, 2026 · 4 min read

Physics artwork for the article: Electrostatics JEE 2020: Capacitor Energy Error of 1.30%
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Electrostatics JEE 2020: Capacitor Energy Error of 1.30%

Work through the JEE Advanced 2020 series-capacitor question to obtain 1.30% energy uncertainty without double-counting linked errors.

Founder, JEEnius - IIT Kanpur Alumni · Oct 3, 2026 · 4 min read

Mathematics artwork for the article: How to Study Alternating Current JEE: A Seven-Step Plan
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How to Study Alternating Current JEE: A Seven-Step Plan

Build AC accuracy with a seven-step study order, worked capacitor and RLC examples, resonance checks and practice chosen by your errors.

Founder, JEEnius - IIT Kanpur Alumni · Oct 3, 2026 · 6 min read

Mathematics artwork for the article: Atomic Structure Practice Questions JEE: 5 Solved Drills
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Atomic Structure Practice Questions JEE: 5 Solved Drills

Attempt five original Atomic Structure drills, check the worked solutions and use your errors to choose between NCERT, PYQs and mixed-paper practice.

Founder, JEEnius - IIT Kanpur Alumni · Oct 3, 2026 · 9 min read

Mathematics artwork for the article: Integral Calculus JEE 2026: Floor-Function Integral
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Integral Calculus JEE 2026: Floor-Function Integral

A worked floor-function and trigonometric integral solution, correcting the arithmetic and symmetry errors to obtain option B, 36.

Founder, JEEnius - IIT Kanpur Alumni · Oct 2, 2026 · 4 min read

Chemistry artwork for the article: Properties JEE 2024: Metal-Deficient Oxide Solution
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Properties JEE 2024: Metal-Deficient Oxide Solution

Learn why x = 0.75 in the JEE Advanced 2024 mixed-valence oxide question, with ion counts, charge checks and two practice variations.

Founder, JEEnius - IIT Kanpur Alumni · Oct 2, 2026 · 4 min read

Physics artwork for the article: Gravitation JEE 2022: Two-Star Escape Velocity Solution
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Gravitation JEE 2022: Two-Star Escape Velocity Solution

Solve the JEE Advanced 2022 two-star problem using fixed-density mass scaling, shell volume and escape velocity to get n = 2.3.

Founder, JEEnius - IIT Kanpur Alumni · Oct 2, 2026 · 4 min read

Mathematics artwork for the article: How to Study Aldehydes Ketones JEE: A Six-Step Method
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How to Study Aldehydes Ketones JEE: A Six-Step Method

Build a carbonyl reaction sheet, predict products from substrate features and conditions, and practise JEE questions with carbon-count and work-up checks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 2, 2026 · 7 min read

Apps And Tools artwork for the article: Application of Derivatives Practice Questions JEE: 6 Drills
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Application of Derivatives Practice Questions JEE: 6 Drills

Six original AOD drills with worked solutions diagnose reasoning errors and show when to move from concept practice to authentic PYQs or full-length mocks.

Founder, JEEnius - IIT Kanpur Alumni · Oct 2, 2026 · 8 min read

Mathematics artwork for the article: 3D Geometry / Vectors JEE 2026: Intersecting Lines
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3D Geometry / Vectors JEE 2026: Intersecting Lines

A worked JEE Main solution covering line intersections, first-octant selection and the missing coordinate that turns 360 into 348.

Founder, JEEnius - IIT Kanpur Alumni · Oct 1, 2026 · 4 min read

Chemistry artwork for the article: The P-Block Elements JEE 2024: PCl5 Fluorination
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The P-Block Elements JEE 2024: PCl5 Fluorination

Understand why option B answers the JEE Advanced 2024 PCl5 fluorination question, using ion identities, charge checks and option elimination.

Founder, JEEnius - IIT Kanpur Alumni · Oct 1, 2026 · 4 min read

Physics artwork for the article: Rotational Motion JEE 2022: Rolling Disk and Stone
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Rotational Motion JEE 2022: Rolling Disk and Stone

Solve the JEE Advanced 2022 rolling-disk question by separating release height from projectile rise, then obtain x = π/6.

Founder, JEEnius - IIT Kanpur Alumni · Oct 1, 2026 · 4 min read

Mathematics artwork for the article: How to Study Alcohols Phenols Ethers JEE: A Six-Step Method
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How to Study Alcohols Phenols Ethers JEE: A Six-Step Method

Predict JEE alcohol, phenol and ether products using substrate classification, reagent conditions, reaction maps and three worked examples.

Founder, JEEnius - IIT Kanpur Alumni · Oct 1, 2026 · 7 min read

Mathematics artwork for the article: Amines Practice Questions JEE: 5 Solved Concept Drills
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Amines Practice Questions JEE: 5 Solved Concept Drills

Solve five original Amines drills with worked explanations, diagnose your mistakes and decide whether to practise concepts, PYQs or mixed mocks next.

Founder, JEEnius - IIT Kanpur Alumni · Oct 1, 2026 · 9 min read

Mathematics artwork for the article: Matrices and Determinants JEE 2026: Double Adjoint
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Matrices and Determinants JEE 2026: Double Adjoint

Solve a third-order determinant problem using row and column factors, apply the adjoint identity twice, and practise three related questions.

Founder, JEEnius - IIT Kanpur Alumni · Sep 30, 2026 · 4 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2024: Hydrazine Fuel Cell
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Redox Reactions and Electrochemistry JEE 2024: Hydrazine Fuel Cell

Solve the JEE Advanced 2024 hydrazine–oxygen fuel-cell question using balanced half-reactions, charge checks and option-by-option reasoning.

Founder, JEEnius - IIT Kanpur Alumni · Sep 30, 2026 · 4 min read

Physics artwork for the article: Electromagnetic Induction JEE 2022: LC Current Solution
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Electromagnetic Induction JEE 2022: LC Current Solution

Derive the 4 mA maximum current in the JEE Advanced 2022 LC circuit using Faraday's law, the driven LC equation and initial conditions.

Founder, JEEnius - IIT Kanpur Alumni · Sep 30, 2026 · 4 min read

Study Strategy artwork for the article: How to Study 3D Geometry JEE: A Five-Step Study Plan
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How to Study 3D Geometry JEE: A Five-Step Study Plan

Study 3D Geometry through vector prerequisites, geometric conditions, worked distance problems and a practice sequence that includes checking every result.

Founder, JEEnius - IIT Kanpur Alumni · Sep 30, 2026 · 6 min read

Mathematics artwork for the article: Alternating Current Practice Questions JEE: 5 Solved Drills
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Alternating Current Practice Questions JEE: 5 Solved Drills

Five original AC drills with worked solutions help you diagnose concept gaps and choose between chapter practice, JEE PYQs and full-length mocks.

Founder, JEEnius - IIT Kanpur Alumni · Sep 30, 2026 · 7 min read

Mathematics artwork for the article: Coordinate Geometry JEE 2026: Skew Lines and Distance
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Coordinate Geometry JEE 2026: Skew Lines and Distance

Find why the parameter values are -7 and 1, why zero is excluded, and how a cofactor sign error changes the answer from -6 to 6.

Founder, JEEnius - IIT Kanpur Alumni · Sep 29, 2026 · 4 min read

Chemistry artwork for the article: Principles Related JEE 2024: Adsorption Answer Explained
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Principles Related JEE 2024: Adsorption Answer Explained

Use titration and monolayer coverage to solve JEE Advanced 2024 Paper 2 Chemistry Q.8 and obtain the numerical entry 2500.

Founder, JEEnius - IIT Kanpur Alumni · Sep 29, 2026 · 4 min read

Physics artwork for the article: Motion in a Plane JEE 2022: Gravity-Change Solution
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Motion in a Plane JEE 2022: Gravity-Change Solution

A stage-by-stage solution to the JEE Advanced 2022 projectile question, showing why gravity changed at the apex gives a range ratio of 0.95.

Founder, JEEnius - IIT Kanpur Alumni · Sep 29, 2026 · 4 min read

Mathematics artwork for the article: Aldehydes Ketones Practice Questions JEE: 6 Solved
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Aldehydes Ketones Practice Questions JEE: 6 Solved

Six original carbonyl questions with worked explanations to diagnose reaction errors and choose between chapter drills, PYQs and full mocks.

Founder, JEEnius - IIT Kanpur Alumni · Sep 29, 2026 · 8 min read

Mathematics artwork for the article: JEE Main Silly Mistakes: Five Steps to Reduce Errors
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JEE Main Silly Mistakes: Five Steps to Reduce Errors

Find the first wrong step, apply a targeted check and test it on fresh questions with worked examples across Physics, Maths and Chemistry.

Founder, JEEnius - IIT Kanpur Alumni · Sep 29, 2026 · 6 min read

Mathematics artwork for the article: Distance Between Skew Lines JEE 2025: Solved Example
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Distance Between Skew Lines JEE 2025: Solved Example

Use the scalar triple product to find the shortest distance, form the parameter quadratic and get the sum -3 using Vieta.

Founder, JEEnius - IIT Kanpur Alumni · Sep 28, 2026 · 3 min read

Chemistry artwork for the article: Solutions JEE 2024: Boiling-Point Elevation Ratio
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Solutions JEE 2024: Boiling-Point Elevation Ratio

A worked solution to the JEE Advanced 2024 two-vessel question, showing the inverse molar-mass ratio and why the numerical answer is 150.

Founder, JEEnius - IIT Kanpur Alumni · Sep 28, 2026 · 4 min read

Physics artwork for the article: Atoms and Nuclei JEE 2022: Binding Energy Explained
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Atoms and Nuclei JEE 2022: Binding Energy Explained

A worked solution to the JEE Advanced 2022 binding-energy question, separating one-proton Coulomb repulsion from total nuclear energy.

Founder, JEEnius - IIT Kanpur Alumni · Sep 28, 2026 · 4 min read

Mathematics artwork for the article: Alcohols Phenols Ethers Practice Questions JEE: 6 Solved
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Alcohols Phenols Ethers Practice Questions JEE: 6 Solved

Attempt six original questions with worked answers, identify reaction-rule errors and choose your next chapter-practice task.

Founder, JEEnius - IIT Kanpur Alumni · Sep 28, 2026 · 9 min read

Mathematics artwork for the article: Three Dimensional Geometry JEE 2025: Skew Lines and Ellipse
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Three Dimensional Geometry JEE 2025: Skew Lines and Ellipse

Two distance roots define an ellipse with semi-axes 1 and 3, giving a full latus-rectum length of 2/3.

Founder, JEEnius - IIT Kanpur Alumni · Sep 27, 2026 · 4 min read

Chemistry artwork for the article: Biomolecules JEE 2024: Polymer U Mass Calculation
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Biomolecules JEE 2024: Polymer U Mass Calculation

Solve JEE Advanced 2024 Chemistry Paper 2 Q15 with a mass ledger, avoid the extra-water error and practise two peptide calculations.

Founder, JEEnius - IIT Kanpur Alumni · Sep 27, 2026 · 4 min read

Physics artwork for the article: Ray Optics JEE 2022: Two-Lens Matching and Sign Rules
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Ray Optics JEE 2022: Two-Lens Matching and Sign Rules

Solve the JEE Advanced 2022 two-lens matching question with signed distances, explicit origin shifts and two practice variations.

Founder, JEEnius - IIT Kanpur Alumni · Sep 27, 2026 · 4 min read

Mathematics artwork for the article: Conic Sections JEE 2025: April Hyperbola Solution
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Conic Sections JEE 2025: April Hyperbola Solution

A worked solution to the April 2025 JEE Main hyperbola question, with the right-angle constraint, exact surds and three practice checks.

Founder, JEEnius - IIT Kanpur Alumni · Sep 26, 2026 · 4 min read

Chemistry artwork for the article: D- and f-Block Elements JEE 2024: Zinc Ion Count in Q
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D- and f-Block Elements JEE 2024: Zinc Ion Count in Q

Use charge balance to count zinc ions in both supplied precipitate formulas from the JEE Advanced 2024 question.

Founder, JEEnius - IIT Kanpur Alumni · Sep 26, 2026 · 4 min read

Physics artwork for the article: Units and Measurements JEE 2022: Magnetic Field Solution
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Units and Measurements JEE 2022: Magnetic Field Solution

A worked solution to JEE Advanced 2022 Physics Paper 2, Question 4, with exponent matching, a dimensional check and the error that gives 6 instead of 4.

Founder, JEEnius - IIT Kanpur Alumni · Sep 26, 2026 · 4 min read

Mathematics artwork for the article: Coordinate Geometry JEE 2025: Square Diagonals Solved
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Coordinate Geometry JEE 2025: Square Diagonals Solved

Solve the square-and-diagonals question step by step, avoid the half-diagonal trap, and practise three related problems.

Founder, JEEnius - IIT Kanpur Alumni · Sep 25, 2026 · 4 min read

Chemistry artwork for the article: Thermodynamics JEE 2025: Water Electrolysis Work
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Thermodynamics JEE 2025: Water Electrolysis Work

A worked solution to the JEE Advanced 2025 electrolysis question, covering gas moles, pressure cancellation and the 29.88 kJ work magnitude.

Founder, JEEnius - IIT Kanpur Alumni · Sep 25, 2026 · 4 min read

Physics artwork for the article: Oscillations and Waves JEE 2022: Advanced Paper 2 Q7
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Oscillations and Waves JEE 2022: Advanced Paper 2 Q7

Time extension and compression separately to solve JEE Advanced 2022 Paper 2 Q7 and obtain the numerical entry 6.

Founder, JEEnius - IIT Kanpur Alumni · Sep 25, 2026 · 4 min read

Study Strategy artwork for the article: JEE Physics Revision Strategy: A 30-Day Main Plan
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JEE Physics Revision Strategy: A 30-Day Main Plan

A Main-first 30-day Physics revision plan built around closed-book recall, timed questions, targeted repairs and delayed retests.

Founder, JEEnius - IIT Kanpur Alumni · Sep 25, 2026 · 10 min read

Mathematics artwork for the article: Trigonometry JEE 2025: Inverse-Cosine and Log Domains
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Trigonometry JEE 2025: Inverse-Cosine and Log Domains

A worked solution to the JEE 2025 domain question, with sign charts, logarithm restrictions, endpoint checks and two practice variations.

Founder, JEEnius - IIT Kanpur Alumni · Sep 24, 2026 · 4 min read

Chemistry artwork for the article: Chemical Thermodynamics JEE 2025: Coefficient Ratio
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Chemical Thermodynamics JEE 2025: Coefficient Ratio

Extract signed coefficients from the van der Waals cubic to get -7.10 mol dm⁻³ without solving for molar volume.

Founder, JEEnius - IIT Kanpur Alumni · Sep 24, 2026 · 4 min read

Physics artwork for the article: Photoelectric Effect JEE 2022: Paper 2 Q16 Solution
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Photoelectric Effect JEE 2022: Paper 2 Q16 Solution

Find the wavelength and work function in JEE Advanced 2022 Paper 2 Q16, and see why intensity does not affect stopping potential.

Founder, JEEnius - IIT Kanpur Alumni · Sep 24, 2026 · 4 min read

Study Strategy artwork for the article: JEE Maths Revision Strategy: A 30-Day Main Plan
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JEE Maths Revision Strategy: A 30-Day Main Plan

A 30-day JEE Main Maths plan built around closed-book recall, timed PYQs, mock analysis and error reattempts within a fixed study budget.

Founder, JEEnius - IIT Kanpur Alumni · Sep 24, 2026 · 10 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2025: Dichromate
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Redox Reactions and Electrochemistry JEE 2025: Dichromate

Work through the JEE Advanced 2025 dichromate numerical using a balanced half-reaction, electron moles and Faraday’s law to obtain 100.00 A.

Founder, JEEnius - IIT Kanpur Alumni · Sep 23, 2026 · 4 min read

Physics artwork for the article: Rotational Motion JEE 2021: Torque and Angular Momentum
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Rotational Motion JEE 2021: Torque and Angular Momentum

Solve the JEE Advanced 2021 particle-motion question using kinematics and cross products to verify A, B and C and reject D.

Founder, JEEnius - IIT Kanpur Alumni · Sep 23, 2026 · 4 min read

Study Strategy artwork for the article: JEE Chemistry Revision Strategy: A 30-Day Main Plan
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JEE Chemistry Revision Strategy: A 30-Day Main Plan

Revise JEE Main Chemistry with a 30-day calendar, daily recall, branch-specific practice and mistake retries while protecting Physics and Mathematics time.

Founder, JEEnius - IIT Kanpur Alumni · Sep 23, 2026 · 10 min read

Mathematics artwork for the article: Circle JEE 2026: Equal Intercepts and Squared Radius
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Circle JEE 2026: Equal Intercepts and Squared Radius

Solve the equal-intercepts circle question using the three-point axis condition and chord length to obtain r² = 8.

Founder, JEEnius - IIT Kanpur Alumni · Sep 22, 2026 · 4 min read

Chemistry artwork for the article: Equilibrium JEE 2025: Nylon 6,6 Dumas Nitrogen Answer
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Equilibrium JEE 2025: Nylon 6,6 Dumas Nitrogen Answer

Identify the Nylon 6,6 monomer using the carbylamine test, then calculate why 10 moles yield 280.00 g of nitrogen in Dumas estimation.

Founder, JEEnius - IIT Kanpur Alumni · Sep 22, 2026 · 4 min read

Physics artwork for the article: Atoms and Nuclei JEE 2021: Hydrogen Spectrum Solution
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Atoms and Nuclei JEE 2021: Hydrogen Spectrum Solution

Derive why A and D are correct in the JEE Advanced 2021 hydrogen-spectrum question using wavelength limits and the exact Lyman formula.

Founder, JEEnius - IIT Kanpur Alumni · Sep 22, 2026 · 4 min read

Study Strategy artwork for the article: JEE Physics Preparation: Daily Study Plan and Practice
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JEE Physics Preparation: Daily Study Plan and Practice

A practical JEE Physics plan built around daily recall, fresh unaided problems, targeted repairs and weekly review.

Founder, JEEnius - IIT Kanpur Alumni · Sep 22, 2026 · 10 min read

Mathematics artwork for the article: Trigonometry JEE 2026: Arctan Sum by Telescoping
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Trigonometry JEE 2026: Arctan Sum by Telescoping

A worked arctan-sum solution using telescoping, principal-value checks and endpoint tracking to obtain 2048 instead of 1024.

Founder, JEEnius - IIT Kanpur Alumni · Sep 21, 2026 · 4 min read

Chemistry artwork for the article: The P-Block Elements JEE 2025: Interhalogen Hydrolysis
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The P-Block Elements JEE 2025: Interhalogen Hydrolysis

Derive hypoiodite, chlorite and bromate from balanced interhalogen hydrolysis equations in this JEE Advanced 2025 question.

Founder, JEEnius - IIT Kanpur Alumni · Sep 21, 2026 · 4 min read

Physics artwork for the article: Magnetism JEE 2021: Alpha Particle and Sulfur Ion Radius
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Magnetism JEE 2021: Alpha Particle and Sulfur Ion Radius

Energy conservation and magnetic force give a sulfur-to-alpha orbit-radius ratio of 4 in this JEE Advanced 2021 problem.

Founder, JEEnius - IIT Kanpur Alumni · Sep 21, 2026 · 4 min read

Study Strategy artwork for the article: JEE Maths Preparation: Daily Practice and Study Plan
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JEE Maths Preparation: Daily Practice and Study Plan

Build a daily Maths routine around independent attempts, targeted prerequisite repair and weekly reviews without neglecting Physics or Chemistry.

Founder, JEEnius - IIT Kanpur Alumni · Sep 21, 2026 · 10 min read

Mathematics artwork for the article: Permutations and Combinations JEE 2026: Why 48, Not 72?
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Permutations and Combinations JEE 2026: Why 48, Not 72?

Count restricted one-one functions case by case to get 48, avoid the 54 and 72 traps, and solve two practice variants.

Founder, JEEnius - IIT Kanpur Alumni · Sep 20, 2026 · 4 min read

Chemistry artwork for the article: Intermolecular Forces JEE 2025: Why C and D Are Correct
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Intermolecular Forces JEE 2025: Why C and D Are Correct

Learn why C and D are valid using distance laws, thermal averaging, Debye induction and London dispersion.

Founder, JEEnius - IIT Kanpur Alumni · Sep 20, 2026 · 5 min read

Physics artwork for the article: Units and Measurements JEE 2021: B and D Explained
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Units and Measurements JEE 2021: B and D Explained

A worked solution to the JEE Advanced 2021 dimensional-analysis question, showing why B and D match and energy density does not.

Founder, JEEnius - IIT Kanpur Alumni · Sep 20, 2026 · 4 min read

Mathematics artwork for the article: How to Prepare for JEE Main 2027: A Four-Month Plan
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How to Prepare for JEE Main 2027: A Four-Month Plan

A four-month JEE Main 2027 plan with a realistic weekly timetable, daily PCM practice, backlog repair and mock-test review.

Founder, JEEnius - IIT Kanpur Alumni · Sep 20, 2026 · 10 min read

Chemistry artwork for the article: Ionic Equilibrium JEE 2025: Barium Iodate Solubility
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Ionic Equilibrium JEE 2025: Barium Iodate Solubility

A worked solution to the JEE Advanced 2025 barium iodate question, showing why precipitation must precede the Ksp calculation.

Founder, JEEnius - IIT Kanpur Alumni · Sep 19, 2026 · 4 min read

Physics artwork for the article: Nuclear Fission and Q-Value JEE 2021: Energy Shares
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Nuclear Fission and Q-Value JEE 2021: Energy Shares

Solve the JEE Advanced 2021 fission question using mass defect, equal recoil momenta and reduced mass, and identify the wrong numerator in option B.

Founder, JEEnius - IIT Kanpur Alumni · Sep 19, 2026 · 4 min read

Study Strategy artwork for the article: JEE Chemistry Preparation: Study Plan for All Three Branches
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JEE Chemistry Preparation: Study Plan for All Three Branches

A flexible Chemistry timetable with separate methods for Physical, Organic and Inorganic Chemistry, plus question practice and delayed error retests.

Founder, JEEnius - IIT Kanpur Alumni · Sep 19, 2026 · 10 min read

Mathematics artwork for the article: Complex Numbers JEE 2026: Eccentricities and Roots
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Complex Numbers JEE 2026: Eccentricities and Roots

Use Vieta, the discriminant and f(1) to solve the JEE Main 2026 eccentricity-and-roots question and see why the answer is 26.

Founder, JEEnius - IIT Kanpur Alumni · Sep 18, 2026 · 4 min read

Chemistry artwork for the article: Principles Related JEE 2025: Phenol Adsorption Solution
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Principles Related JEE 2025: Phenol Adsorption Solution

Solve the JEE Advanced 2025 phenol adsorption question and understand why the supplied logarithm leads to different calibration results.

Founder, JEEnius - IIT Kanpur Alumni · Sep 18, 2026 · 4 min read

Physics artwork for the article: Oscillations and Waves JEE 2021: Answer Verification
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Oscillations and Waves JEE 2021: Answer Verification

Check the recorded X = 0.30 and the limits of an incomplete JEE Advanced 2021 extract, with three conceptual checks.

Founder, JEEnius - IIT Kanpur Alumni · Sep 18, 2026 · 4 min read

Mathematics artwork for the article: JEE Main Score Improvement: Recover Lost Mock Marks
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JEE Main Score Improvement: Recover Lost Mock Marks

Audit your JEE Main mock, fix recurring errors and measure whether better accuracy and question selection recover marks.

Founder, JEEnius - IIT Kanpur Alumni · Sep 18, 2026 · 6 min read

Mathematics artwork for the article: Integral Calculus JEE 2007: Iterated Function Solution
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Integral Calculus JEE 2007: Iterated Function Solution

A worked solution to JEE 2007 Paper 2, Question 52, covering repeated composition, the missing chain-rule factor and three practice variants.

Founder, JEEnius - IIT Kanpur Alumni · Sep 17, 2026 · 4 min read

Physics artwork for the article: Electromagnetic Induction JEE 2021: Dipole–Loop Work
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Electromagnetic Induction JEE 2021: Dipole–Loop Work

Derive Option C for the JEE Advanced 2021 dipole–loop question using the flux–current–energy chain, and see why Option D gives a force scale.

Founder, JEEnius - IIT Kanpur Alumni · Sep 17, 2026 · 4 min read

Chemistry artwork for the article: Chemical Kinetics JEE 2025: Pseudo-First-Order Rate Error
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Chemical Kinetics JEE 2025: Pseudo-First-Order Rate Error

Work through the JEE Advanced 2025 kinetics question to see why the pseudo-first-order rate error is 4.17%, not 4.00%.

Founder, JEEnius - IIT Kanpur Alumni · Sep 17, 2026 · 4 min read

Mathematics artwork for the article: Sets, Relations and Functions JEE 2007: Matrix-Match Solution
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Sets, Relations and Functions JEE 2007: Matrix-Match Solution

Solve the JEE 2007 matrix-match question with one square-root reduction, then check domains, signs and principal branches.

Founder, JEEnius - IIT Kanpur Alumni · Sep 16, 2026 · 4 min read

Chemistry artwork for the article: Solutions JEE 2025: Osmotic Pressure and Molar Mass
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Solutions JEE 2025: Osmotic Pressure and Molar Mass

Work from a 2.00 cm solution column to 200 Pa, then calculate molar mass and see why the required JEE Advanced 2025 entry is 2.49.

Founder, JEEnius - IIT Kanpur Alumni · Sep 16, 2026 · 4 min read

Physics artwork for the article: Gravitation JEE 2021: Binary-Star Period Explained
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Gravitation JEE 2021: Binary-Star Period Explained

Use total stellar mass and star-to-star separation to solve the JEE Advanced 2021 binary-star question and obtain the period multiplier n = 9.

Founder, JEEnius - IIT Kanpur Alumni · Sep 16, 2026 · 4 min read

Mathematics artwork for the article: Coordinate Geometry JEE 2008: Why Option D Is Correct
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Coordinate Geometry JEE 2008: Why Option D Is Correct

Prove option D in JEE 2008 Paper 2 using slopes and strict angle bounds, then see why coordinate bounds cannot prove segment membership.

Founder, JEEnius - IIT Kanpur Alumni · Sep 15, 2026 · 4 min read

Chemistry artwork for the article: D- and f-block Elements JEE 2025: Magnetic Moments
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D- and f-block Elements JEE 2025: Magnetic Moments

Calculate the 7.73 B.M. sum for two manganese(III) complexes using oxidation states, ligand strength and unpaired-electron counts.

Founder, JEEnius - IIT Kanpur Alumni · Sep 15, 2026 · 4 min read

Physics artwork for the article: Photoelectric Effect JEE 2021: Why the Answer Is 6 eV
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Photoelectric Effect JEE 2021: Why the Answer Is 6 eV

Solve the JEE Advanced 2021 photoelectric effect question in three steps, keeping photon energy separate from electron kinetic energy.

Founder, JEEnius - IIT Kanpur Alumni · Sep 15, 2026 · 4 min read

Mathematics artwork for the article: Three Dimensional Geometry JEE 2009: Matrix-Match Solution
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Three Dimensional Geometry JEE 2009: Matrix-Match Solution

Solve the JEE 2009 matrix-match question using trigonometry, floor-function limits, scalar triple products and unit-vector dot products.

Founder, JEEnius - IIT Kanpur Alumni · Sep 14, 2026 · 3 min read

Chemistry artwork for the article: Electrochemistry JEE 2025: Butane Fuel-Cell Solution
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Electrochemistry JEE 2025: Butane Fuel-Cell Solution

The JEE Advanced 2025 butane fuel-cell solution: balance combustion, calculate Gibbs energy and count 26 electrons to obtain X = 105.50.

Founder, JEEnius - IIT Kanpur Alumni · Sep 14, 2026 · 5 min read

Physics artwork for the article: Vector Addition JEE 2004: Finding the Two Forces
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Vector Addition JEE 2004: Finding the Two Forces

Find the two force magnitudes from a 4 N maximum and a 3 N perpendicular resultant, then verify both conditions.

Founder, JEEnius - IIT Kanpur Alumni · Sep 14, 2026 · 4 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2010: Integral PYQ
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Limit, Continuity and Differentiability JEE 2010: Integral PYQ

B and C are correct: use continuity, one-sided derivatives and a bounded-derivative argument to solve the JEE 2010 integral-defined function question.

Founder, JEEnius - IIT Kanpur Alumni · Sep 13, 2026 · 4 min read

Physics artwork for the article: Motion in a Straight Line JEE 2005: Two-Particle Solution
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Motion in a Straight Line JEE 2005: Two-Particle Solution

Two particles reach the same final speed: derive the acceleration relation and check the signs, units and factor of one-half.

Founder, JEEnius - IIT Kanpur Alumni · Sep 13, 2026 · 4 min read

Chemistry artwork for the article: Biomolecules JEE 2025: Octasaccharide Question Solved
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Biomolecules JEE 2025: Octasaccharide Question Solved

Solve the JEE Advanced 2025 octasaccharide question using hydrolysis mass balance, the correct percentage denominator and integer unit counts.

Founder, JEEnius - IIT Kanpur Alumni · Sep 13, 2026 · 4 min read

Mathematics artwork for the article: Matrices and Determinants JEE 2010: Worked Solution
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Matrices and Determinants JEE 2010: Worked Solution

Two free entries and one forced entry give (p-1)^2 matrices: solve the IIT-JEE 2010 question using trace, determinant and modular inverses.

Founder, JEEnius - IIT Kanpur Alumni · Sep 12, 2026 · 4 min read

Chemistry artwork for the article: P-block Elements JEE 2020: Chlorine Oxoanions Solved
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P-block Elements JEE 2020: Chlorine Oxoanions Solved

Why A, B and D are correct in the JEE Advanced 2020 chlorine oxoanion question, with checks for basicity, shape and redox behaviour.

Founder, JEEnius - IIT Kanpur Alumni · Sep 12, 2026 · 5 min read

Physics artwork for the article: Refraction and Lenses JEE 2013: Glass-Plate Solution
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Refraction and Lenses JEE 2013: Glass-Plate Solution

Find the 5.6 m final object distance in the JEE 2013 glass-plate problem using the lens formula and fixed-film constraint.

Founder, JEEnius - IIT Kanpur Alumni · Sep 12, 2026 · 4 min read

Study Strategy artwork for the article: How to Crack JEE Main 2027: Study Plan from September
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How to Crack JEE Main 2027: Study Plan from September

A September-to-session plan for JEE Main 2027 covering realistic study hours, prerequisite repair, independent practice and mock review.

Founder, JEEnius - IIT Kanpur Alumni · Sep 12, 2026 · 10 min read

Mathematics artwork for the article: Trigonometry JEE 2010: 3 Valid Solutions for θ in (0, π)
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Trigonometry JEE 2010: 3 Valid Solutions for θ in (0, π)

Senior faculty breaks down the trigonometry JEE 2010 integer question from Paper 1, demonstrating the elimination of special cases and arriving at the correct count of 3 for valid θ values.

Founder, JEEnius - IIT Kanpur Alumni · Sep 11, 2026 · 4 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2020: 13.32 K Solution
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Redox Reactions and Electrochemistry JEE 2020: 13.32 K Solution

Official step-by-step solution to the JEE Advanced 2020 redox reactions and electrochemistry numerical on a 70% efficient H2-O2 fuel cell performing adiabatic compression of monoatomic gas to yield exactly 13.32 K.

Founder, JEEnius - IIT Kanpur Alumni · Sep 11, 2026 · 3 min read

Physics artwork for the article: Rutherford and Bohr Models JEE 2018: Deriving Λ_n ≈ A + B/λ_n²
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Rutherford and Bohr Models JEE 2018: Deriving Λ_n ≈ A + B/λ_n²

The 2018 JEE Main question combining Rutherford and Bohr models with de Broglie wavelength and photon wavelength is broken down with full derivation and common pitfalls.

Founder, JEEnius - IIT Kanpur Alumni · Sep 11, 2026 · 4 min read

Mathematics artwork for the article: Mixed Mathematics JEE 2010 Matrix Match Solution
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Mixed Mathematics JEE 2010 Matrix Match Solution

Official step-by-step solution to the mixed mathematics JEE 2010 matrix match with explanations, common mistakes and practice problems on related topics.

Founder, JEEnius - IIT Kanpur Alumni · Sep 9, 2026 · 4 min read

Physics artwork for the article: Damping of Oscillations JEE 2019: N = 5000 Solution
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Damping of Oscillations JEE 2019: N = 5000 Solution

Full step-by-step solution to the JEE Main 2019 damping of oscillations question on a conducting strip in magnetic field, showing exactly why N equals 5000 and not 10000.

Founder, JEEnius - IIT Kanpur Alumni · Sep 9, 2026 · 3 min read

Physics artwork for the article: Laws of Motion JEE 2019: Quadratic Drag Ball Problem
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Laws of Motion JEE 2019: Quadratic Drag Ball Problem

Complete walkthrough of the 2019 JEE Main Laws of Motion quadratic drag question showing why the time to highest point requires the arctan form and not the logarithmic expression.

Founder, JEEnius - IIT Kanpur Alumni · Sep 8, 2026 · 3 min read

Chemistry artwork for the article: Solutions JEE 2022: Vapour Pressure Numerical Yields 5 Ions
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Solutions JEE 2022: Vapour Pressure Numerical Yields 5 Ions

Official solutions JEE 2022 for the JEE Advanced relative lowering of vapour pressure numerical explained with the correct van't Hoff factor setup that gives N exactly 5.

Founder, JEEnius - IIT Kanpur Alumni · Sep 7, 2026 · 4 min read

Physics artwork for the article: Reflection and Refraction JEE 2019: Concave Mirror in Water
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Reflection and Refraction JEE 2019: Concave Mirror in Water

The 2019 JEE Main question combining reflection and refraction with a concave mirror at the bottom of water is solved in detail with the official 8.8 cm answer and common pitfalls.

Founder, JEEnius - IIT Kanpur Alumni · Sep 7, 2026 · 3 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2013: f(x) < 0 on (0,1)
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Limit, Continuity and Differentiability JEE 2013: f(x) < 0 on (0,1)

Breakdown of the JEE Advanced 2013 paragraph question from the limit, continuity and differentiability chapter that uses strict convexity to prove f must be negative on (0,1).

Founder, JEEnius - IIT Kanpur Alumni · Sep 6, 2026 · 3 min read

Chemistry artwork for the article: P-Block Elements JEE 2022: Blast Furnace Question Analysis
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P-Block Elements JEE 2022: Blast Furnace Question Analysis

The official solution and common mistakes for the JEE Advanced 2022 blast furnace question at 900-1500 K with key facts on pig iron, slag and exhaust gases every aspirant must know.

Founder, JEEnius - IIT Kanpur Alumni · Sep 6, 2026 · 4 min read

Physics artwork for the article: Moment of Inertia JEE 2019: Variable Density Plate
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Moment of Inertia JEE 2019: Variable Density Plate

Detailed solution to the 2019 JEE Main hard question on moment of inertia of a variable-density circular plate with ρ(r)=ρ₀r, showing all integration steps, parallel axis shift and common algebraic errors.

Founder, JEEnius - IIT Kanpur Alumni · Sep 6, 2026 · 3 min read

Chemistry artwork for the article: Equilibrium JEE 2022 Empirical Formulae Multi-Correct Solution
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Equilibrium JEE 2022 Empirical Formulae Multi-Correct Solution

Senior faculty breaks down the Equilibrium JEE 2022 multi-correct stoichiometry question on empirical formulae of P and Q with official calculations, correct options B and C, and the key ratio mistake.

Founder, JEEnius - IIT Kanpur Alumni · Sep 5, 2026 · 5 min read

Physics artwork for the article: Photoelectric Effect JEE 2019: Superposed Magnetic Field Solution
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Photoelectric Effect JEE 2019: Superposed Magnetic Field Solution

Official step-by-step solution to the JEE Main 2019 photoelectric effect question featuring superposed magnetic fields, showing exactly how to extract frequencies and compute K_max = 7.675 eV.

Founder, JEEnius - IIT Kanpur Alumni · Sep 5, 2026 · 3 min read

Mathematics artwork for the article: Integral Calculus JEE 2014: Solving (2 Cosec x)^17
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Integral Calculus JEE 2014: Solving (2 Cosec x)^17

Detailed solution to the JEE Advanced 2014 integral of (2 cosec x)^17 using exponential substitution, binomial theorem and hyperbolic recurrence relations.

Founder, JEEnius - IIT Kanpur Alumni · Sep 4, 2026 · 3 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2022: Entropy MCQ Solution
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Redox Reactions and Electrochemistry JEE 2022: Entropy MCQ Solution

Senior faculty breaks down the JEE Advanced 2022 multi-correct entropy question from redox reactions and electrochemistry with official solution, common mistakes and practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Sep 4, 2026 · 4 min read

Chemistry artwork for the article: The P-Block Elements JEE 2022: Why PbCl2 Dissolves in HCl
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The P-Block Elements JEE 2022: Why PbCl2 Dissolves in HCl

Official JEE Advanced 2022 solution for the p-block PbCl2 dissolution in HCl via [PbCl4]2- complex formation, including equilibrium shift, common mistakes and practice questions.

Founder, JEEnius - IIT Kanpur Alumni · Sep 3, 2026 · 3 min read

Physics artwork for the article: Capacitance JEE 2020: Inclined Plates Solution
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Capacitance JEE 2020: Inclined Plates Solution

Step-by-step solution to the JEE Main 2020 capacitance question on square plates tilted at small angle α, showing mandatory integration, logarithmic approximation and common arithmetic-mean mistake.

Founder, JEEnius - IIT Kanpur Alumni · Sep 3, 2026 · 4 min read

Chemistry artwork for the article: P-Block Elements JEE 2021: Metallurgy Question Solution
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P-Block Elements JEE 2021: Metallurgy Question Solution

Senior faculty breaks down the 2021 JEE Advanced p-block elements metallurgy multi-correct question with exact balanced equations, common traps and must-memorise reactions.

Founder, JEEnius - IIT Kanpur Alumni · Sep 2, 2026 · 5 min read

Physics artwork for the article: Moment of Inertia JEE 2020: Equilateral Triangle Numerical
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Moment of Inertia JEE 2020: Equilateral Triangle Numerical

Step-by-step official solution to the JEE Main 2020 moment of inertia numerical on equilateral triangular lamina after removing smaller triangle ADE, yielding N=11.

Founder, JEEnius - IIT Kanpur Alumni · Sep 2, 2026 · 3 min read

Mathematics artwork for the article: Mixed Mathematics JEE 2015: Official Matrix Match Solution
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Mixed Mathematics JEE 2015: Official Matrix Match Solution

Official step-by-step solution to the mixed mathematics JEE 2015 matrix match with correct matching, the common algebraic error in part A, and targeted practice on trigonometry, vectors and areas.

Founder, JEEnius - IIT Kanpur Alumni · Sep 1, 2026 · 4 min read

Physics artwork for the article: Work, Energy and Power JEE 2021: Bullet Pendulum Problem
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Work, Energy and Power JEE 2021: Bullet Pendulum Problem

This article breaks down the Work, Energy and Power JEE 2021 bullet and pendulum problem, providing the official solution for minimum velocity of 400 m/s and explaining common mistakes.

Founder, JEEnius - IIT Kanpur Alumni · Sep 1, 2026 · 4 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2015 Official Solution
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Limit, Continuity and Differentiability JEE 2015 Official Solution

Breakdown of the JEE Advanced 2015 differentiability question with f and h shows only f and h(f(x)) are differentiable at x=0 by computing one-sided derivatives and avoiding common chain-rule errors.

Founder, JEEnius - IIT Kanpur Alumni · Aug 31, 2026 · 4 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2021: Nernst Equation
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Redox Reactions and Electrochemistry JEE 2021: Nernst Equation

Detailed solution to the JEE Advanced 2021 multi-correct question on Nernst equation from redox reactions and electrochemistry explaining when E_cell stays positive.

Founder, JEEnius - IIT Kanpur Alumni · Aug 31, 2026 · 4 min read

Physics artwork for the article: Vector Algebra JEE 2021: Why Both Statements Are False
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Vector Algebra JEE 2021: Why Both Statements Are False

Senior faculty breaks down the vector algebra JEE 2021 PYQ on P+Q and P-Q resultants to show exactly why both statements are false using the official simplification and derived cosines.

Founder, JEEnius - IIT Kanpur Alumni · Aug 31, 2026 · 4 min read

Mathematics artwork for the article: Coordinate Geometry JEE 2015: Common Tangent to Ellipses
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Coordinate Geometry JEE 2015: Common Tangent to Ellipses

Official 2015 JEE Advanced solution for two ellipses with common tangent x+y=3, coefficient matching for eccentricities, axis identification errors and reusable template.

Founder, JEEnius - IIT Kanpur Alumni · Aug 30, 2026 · 3 min read

Physics artwork for the article: Laws of Motion JEE 2022: Hard Projectile Momentum Vector
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Laws of Motion JEE 2022: Hard Projectile Momentum Vector

Complete solution to the hard JEE Main 2022 projectile momentum vector question tagged under laws of motion, with NTA method, trig error analysis and linked conservation of momentum PYQs.

Founder, JEEnius - IIT Kanpur Alumni · Aug 29, 2026 · 3 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2016: Official Solution
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Limit, Continuity and Differentiability JEE 2016: Official Solution

Analysis of the JEE Advanced 2016 limit, continuity and differentiability question with detailed steps to arrive at f'(x)/f(x) and evaluate the multiple correct options.

Founder, JEEnius - IIT Kanpur Alumni · Aug 29, 2026 · 3 min read

Chemistry artwork for the article: Oxoacids of Phosphorus JEE 2021: Official Multi-Correct Solution
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Oxoacids of Phosphorus JEE 2021: Official Multi-Correct Solution

Official walkthrough of the 2021 JEE Advanced multi-correct question on oxoacids of phosphorus, using the HPO(OH)2 structure of H3PO3 to evaluate every statement on disproportionation, reducing character and basicity.

Founder, JEEnius - IIT Kanpur Alumni · Aug 29, 2026 · 4 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2018: Official Solution
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Limit, Continuity and Differentiability JEE 2018: Official Solution

Complete breakdown of the 2018 JEE Advanced twice differentiable function question testing limit, continuity and differentiability with full solutions, counterexamples and practice problems using MVT and auxiliary functions.

Founder, JEEnius - IIT Kanpur Alumni · Aug 28, 2026 · 4 min read

Chemistry artwork for the article: Hydrocarbons JEE 2021: Solving the BDE Matching Question
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Hydrocarbons JEE 2021: Solving the BDE Matching Question

Breakdown of the JEE Advanced 2021 hydrocarbons BDE matching question with radical stability ladder, official solution, common mistakes and targeted practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Aug 28, 2026 · 4 min read

Chemistry artwork for the article: Atomic Structure JEE 2021: Helium Atom Recoil Velocity
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Atomic Structure JEE 2021: Helium Atom Recoil Velocity

Official step-by-step solution for the JEE Advanced 2021 helium atom recoil numerical in atomic structure using momentum conservation, with common mistakes and practice questions.

Founder, JEEnius - IIT Kanpur Alumni · Aug 27, 2026 · 3 min read

Mathematics artwork for the article: Circle JEE 2018: Deriving E1 and E2 Loci
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Circle JEE 2018: Deriving E1 and E2 Loci

Complete breakdown of the Circle JEE 2018 loci question with equations, exclusions, option analysis and similar practice problems for JEE Advanced.

Founder, JEEnius - IIT Kanpur Alumni · Aug 26, 2026 · 3 min read

Chemistry artwork for the article: The p-Block Elements JEE 2021: Oxidation State of Cl in Cl2O6
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The p-Block Elements JEE 2021: Oxidation State of Cl in Cl2O6

Official step-by-step solution to the JEE Advanced 2021 p-block numerical on average oxidation state of chlorine in Cl2O6, the balanced equation, common +7 mistake, and similar questions.

Founder, JEEnius - IIT Kanpur Alumni · Aug 26, 2026 · 3 min read

Mathematics artwork for the article: Differential Equations JEE 2018: Official Solution and Analysis
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Differential Equations JEE 2018: Official Solution and Analysis

Senior faculty solves the differential equations JEE 2018 question from JEE Advanced, derives f(x)=-x sin x using L'Hospital and quotient rule, exposes the sign error that flips answers, proves all statements with derivatives, and supplies two matching practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Aug 24, 2026 · 5 min read

Physics artwork for the article: Vector Algebra JEE 2024: Minimum of 27|c − a|^2
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Vector Algebra JEE 2024: Minimum of 27|c − a|^2

Senior faculty solves the JEE Main 2024 vector algebra question on a = b × c with angle in [0, π/3], proving the minimum of 27|c-a|^2 is 124 and explaining common pitfalls.

Founder, JEEnius - IIT Kanpur Alumni · Aug 24, 2026 · 3 min read

Mathematics artwork for the article: Trigonometric Functions JEE 2025: Inverse Equation Has Three Solutions
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Trigonometric Functions JEE 2025: Inverse Equation Has Three Solutions

Senior faculty analyses the JEE Advanced trigonometric functions jee 2025 inverse equation, proving it has exactly three real solutions and highlighting key mistakes and identities to master before the exam.

Founder, JEEnius - IIT Kanpur Alumni · Aug 23, 2026 · 3 min read

Physics artwork for the article: Gravitation JEE 2024: h/H = 1/2 Maximises Total Time
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Gravitation JEE 2024: h/H = 1/2 Maximises Total Time

Detailed breakdown of the JEE Main 2024 gravitation question that involves finding the height ratio h/H to maximise the total time to reach the ground after an elastic collision with a 45 degree inclined plane.

Founder, JEEnius - IIT Kanpur Alumni · Aug 23, 2026 · 4 min read

Physics artwork for the article: Electric Field JEE 2024 Numerical: Sheet and Line Charge
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Electric Field JEE 2024 Numerical: Sheet and Line Charge

Complete breakdown of the hard electric field JEE 2024 numerical on infinite sheet and line charge superposition that yields n=16, with steps, mistakes and geometry explained.

Founder, JEEnius - IIT Kanpur Alumni · Aug 22, 2026 · 4 min read

Mathematics artwork for the article: Matrices and Determinants JEE 2020: Adjoint of Adjoint Question
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Matrices and Determinants JEE 2020: Adjoint of Adjoint Question

Complete breakdown of the hard JEE Advanced 2020 multi-correct question on adjoint of adjoint for 3x3 matrices, including full derivation, why A is wrong and targeted practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 3 min read

Mathematics artwork for the article: Limit, Continuity and Differentiability JEE 2020 Question Solution
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Limit, Continuity and Differentiability JEE 2020 Question Solution

Official step-by-step solution to the JEE Advanced 2020 functional equation question that uses the limit of g(x) to prove continuity, differentiability of f and g, and derive the explicit form f(x)=e^x-1.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Chemistry artwork for the article: P-Block Elements JEE 2010: Matrix Match on Halide Hydrolysis
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P-Block Elements JEE 2010: Matrix Match on Halide Hydrolysis

Senior faculty explains the 2010 JEE Advanced p-block elements matrix match with full hydrolysis equations, oxidation states, secondary reactions, common mistakes and targeted practice questions.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Mathematics artwork for the article: Matrices and Determinants JEE 2022: HP Consistency Match List
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Matrices and Determinants JEE 2022: HP Consistency Match List

See the official solution to the JEE Advanced 2022 match list question from matrices and determinants involving HP terms p, q, r and why p/q = 10 is the key condition for infinite solutions.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Physics artwork for the article: Thermodynamics JEE 2020: Diathermic Partition Ambiguity
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Thermodynamics JEE 2020: Diathermic Partition Ambiguity

JEE Advanced 2020 thermodynamics question on movable diathermic partition was ambiguous because it omitted CV, leading to no unique x and bonus marks for all candidates.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Chemistry artwork for the article: Organic Compounds Containing Oxygen JEE 2020: Degree of Unsaturation
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Organic Compounds Containing Oxygen JEE 2020: Degree of Unsaturation

Detailed solution to the JEE Advanced 2020 numerical on degree of unsaturation for the cyclised product Q from organic compounds containing oxygen, showing atom-by-atom formula derivation and common errors.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 3 min read

Physics artwork for the article: Thermodynamics JEE 2022: Soap Bubble Multi-Correct Question
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Thermodynamics JEE 2022: Soap Bubble Multi-Correct Question

Complete breakdown and official solution of the JEE Advanced 2022 Paper 2 multi-correct soap bubble thermodynamics question for insulating and conducting surfaces.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Chemistry artwork for the article: Some Basic Principles JEE 2022: Benzene Succinic Anhydride Sequence
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Some Basic Principles JEE 2022: Benzene Succinic Anhydride Sequence

Breakdown of the JEE Advanced 2022 benzene succinic anhydride question that tested Some Basic Principles of Organic Chemistry including selective reductions, intramolecular acylation and precise carbonyl reactivity.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Physics artwork for the article: Electrostatics JEE 2022: Charged Disk with Constant Force
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Electrostatics JEE 2022: Charged Disk with Constant Force

Senior faculty explains the JEE Advanced 2022 electrostatics question on a charged particle above a uniformly charged disk with added constant force, using effective potential u(x) to determine particle motion and correct options.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Chemistry artwork for the article: Chemical Bonding JEE 2026: 6 Paramagnetic Complexes Numerical
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Chemical Bonding JEE 2026: 6 Paramagnetic Complexes Numerical

Complete solution to the JEE Main 8 April 2026 chemical bonding numerical showing exactly 6 paramagnetic complexes using the official 4-step decision tree on oxidation state, geometry, ligand strength and spin.

Founder, JEEnius - IIT Kanpur Alumni · Aug 21, 2026 · 4 min read

Mathematics artwork for the article: Complex Numbers and Quadratic JEE 2020: Set S Analysis
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Complex Numbers and Quadratic JEE 2020: Set S Analysis

Detailed breakdown of the JEE Advanced 2020 multi-correct question on the set S defined by |z² + z + 1| = 1, with locus explanation, official proofs for options B and C, common algebraic mistakes, and similar problems.

Founder, JEEnius - IIT Kanpur Alumni · Aug 20, 2026 · 5 min read

Physics artwork for the article: Kinetic Theory of Gases JEE 2017: Moving Plate in Rarefied Gas
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Kinetic Theory of Gases JEE 2017: Moving Plate in Rarefied Gas

Senior faculty breaks down the 2017 JEE Advanced kinetic theory of gases question on a plate in rarefied gas, with official derivations, correct options A B D, common mistakes and similar practice problems.

Founder, JEEnius - IIT Kanpur Alumni · Aug 19, 2026 · 3 min read

Mathematics artwork for the article: Integral Calculus JEE 2022: Why the Correct Answer Is C and D
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Integral Calculus JEE 2022: Why the Correct Answer Is C and D

This worked solution reduces the integral to a parameter function, counts one root on each domain interval and proves both roots irrational.

Founder, JEEnius - IIT Kanpur Alumni · Aug 17, 2026 · 5 min read

Chemistry artwork for the article: Redox Reactions and Electrochemistry JEE 2013: Full Solution
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Redox Reactions and Electrochemistry JEE 2013: Full Solution

A worked solution to the 2013 match-list problem, showing why electrode potentials must be combined through Gibbs energy.

Founder, JEEnius - IIT Kanpur Alumni · Aug 17, 2026 · 6 min read

Physics artwork for the article: Work, Energy and Power JEE 2018: Match-List Solution
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Work, Energy and Power JEE 2018: Match-List Solution

A derivative-based solution to the 2018 JEE Advanced match-list problem on momentum, torque, kinetic energy, potential energy and total energy.

Founder, JEEnius - IIT Kanpur Alumni · Aug 17, 2026 · 6 min read

Study Strategy artwork for the article: JEE Main Mock Test Analysis: A 7-Step Error Audit
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JEE Main Mock Test Analysis: A 7-Step Error Audit

Turn every wrong, lucky or unattempted question into a ranked repair task and three rules for the next JEE Main mock.

Founder, JEEnius - IIT Kanpur Alumni · Aug 17, 2026 · 10 min read

Chemistry artwork for the article: Organic Compounds Containing Oxygen JEE 2014: Answer 5
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Organic Compounds Containing Oxygen JEE 2014: Answer 5

Enumerate all ketones of mass 100, account for existing stereocentres and see why the correct integer is 5.

Founder, JEEnius - IIT Kanpur Alumni · Aug 16, 2026 · 5 min read

Physics artwork for the article: Gravitation JEE 2025: Mass Transfer and Orbital Expansion
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Gravitation JEE 2025: Mass Transfer and Orbital Expansion

This solution derives the orbital expansion rate using force balance, angular momentum conservation and logarithmic differentiation.

Founder, JEEnius - IIT Kanpur Alumni · Aug 16, 2026 · 5 min read

Study Strategy artwork for the article: JEE Chemistry Important Chapters: Best Order and 8-Week Plan
Study Strategy

JEE Chemistry Important Chapters: Best Order and 8-Week Plan

Build Chemistry in dependency order, then use recent question frequency, timed PYQs and an eight-week schedule to convert priority chapters into marks.

Founder, JEEnius - IIT Kanpur Alumni · Aug 16, 2026 · 11 min read

Apps And Tools artwork for the article: Best JEE Mock Test App: How to Choose Realistic Mocks
Apps and Tools

Best JEE Mock Test App: How to Choose Realistic Mocks

Compare full mocks, chapter-wise apps and coaching series using JEE Main pattern fidelity, test analysis and student stage.

Founder, JEEnius - IIT Kanpur Alumni · Aug 16, 2026 · 8 min read

Chemistry artwork for the article: Some Basic Principles of JEE 2024: Why the Answer Is 2 or 4
Past Paper Solutions

Some Basic Principles of JEE 2024: Why the Answer Is 2 or 4

A rigorous structural audit shows why this JEE Advanced 2024 organic chemistry numerical legitimately accepts both 2 and 4.

Founder, JEEnius - IIT Kanpur Alumni · Aug 15, 2026 · 4 min read

Chemistry artwork for the article: Some Basic Principles of JEE 2024: Why the Answer Is 2 or 4

Some Basic Principles of JEE 2024: Why the Answer Is 2 or 4

A complete structural analysis showing why this JEE Advanced 2024 Chemistry PYQ accepts both 2 and 4.

Founder, JEEnius - IIT Kanpur Alumni · Aug 15, 2026 · 4 min read

Mathematics artwork for the article: Vector Algebra JEE 2022: Solving the Advanced Multi-Correct PYQ
Past Paper Solutions

Vector Algebra JEE 2022: Solving the Advanced Multi-Correct PYQ

A direct solution to the JEE Advanced 2022 vector algebra PYQ, covering cross-product order, parameter elimination and all four option checks.

Founder, JEEnius - IIT Kanpur Alumni · Aug 14, 2026 · 5 min read

Chemistry artwork for the article: Organic Compounds Containing Oxygen JEE 2025: Answer
Past Paper Solutions

Organic Compounds Containing Oxygen JEE 2025: Answer

Solve the 2025 oxygen-containing organic chemistry numerical using the correct coupling ratio, successive yields and final molar mass.

Founder, JEEnius - IIT Kanpur Alumni · Aug 14, 2026 · 5 min read

Physics artwork for the article: Current Electricity JEE 2022: Hard Nodal Analysis
Past Paper Solutions

Current Electricity JEE 2022: Hard Nodal Analysis

A rigorous nodal-analysis solution to the JEE Advanced 2022 circuit, including battery signs, current directions and power verification.

Founder, JEEnius - IIT Kanpur Alumni · Aug 14, 2026 · 5 min read

Study Strategy artwork for the article: JEE Main 1 Year Study Plan for Class 11 Students
Study Strategy

JEE Main 1 Year Study Plan for Class 11 Students

Build a sustainable Class 11 JEE Main year with a 23.25-hour weekly timetable, subject allocation, testing phases and backlog rules.

Founder, JEEnius - IIT Kanpur Alumni · Aug 14, 2026 · 11 min read

Mathematics artwork for the article: Matrices and Determinants JEE 2021: Identities and Solution
Past Paper Solutions

Matrices and Determinants JEE 2021: Identities and Solution

One inverse relation and Sylvester’s theorem settle the JEE Advanced 2021 matrix question: A, B and C are true; D is false.

Founder, JEEnius - IIT Kanpur Alumni · Aug 13, 2026 · 4 min read

Physics artwork for the article: Ray Optics and Optical JEE 2022: Multiple-Reflection PYQ
Past Paper Solutions

Ray Optics and Optical JEE 2022: Multiple-Reflection PYQ

A coordinate-based solution proving that A and B alone are correct, with the five-reflection path traced exactly.

Founder, JEEnius - IIT Kanpur Alumni · Aug 13, 2026 · 6 min read

Chemistry artwork for the article: Biomolecules JEE 2021: Aldaric Acid Stereochemistry
Past Paper Solutions

Biomolecules JEE 2021: Aldaric Acid Stereochemistry

A rigorous solution to the 2021 aldaric acid PYQ, covering nitric-acid oxidation, Fischer equivalence, enantiomers and why C and D are correct.

Founder, JEEnius - IIT Kanpur Alumni · Aug 10, 2026 · 4 min read

Study Strategy artwork for the article: JEE Main 90 Day Strategy: Timetable, PYQs and Mocks
Study Strategy

JEE Main 90 Day Strategy: Timetable, PYQs and Mocks

A three-phase JEE Main plan with realistic timetables, chapter triage, PYQs, mocks, error analysis and weekly score tracking.

Founder, JEEnius - IIT Kanpur Alumni · Aug 10, 2026 · 12 min read

Mathematics artwork for the article: Conic Sections JEE 2026: Hard Circle PYQ Solved
Past Paper Solutions

Conic Sections JEE 2026: Hard Circle PYQ Solved

A four-step solution to the JEE Main 2026 circle PYQ, covering radius, centre selection, line distance and the chord-square formula.

Founder, JEEnius - IIT Kanpur Alumni · Aug 9, 2026 · 4 min read

Apps And Tools artwork for the article: AI Doubt Solver for JEE: ChatGPT, Gemini and More
Apps and Tools

AI Doubt Solver for JEE: ChatGPT, Gemini and More

Compare ChatGPT, Gemini, Gauth, Doubtnut and Photomath for JEE doubts, then use a practical checklist to verify every solution.

Founder, JEEnius - IIT Kanpur Alumni · Aug 9, 2026 · 11 min read

Study Strategy artwork for the article: JEE Main 30 Day Strategy: Daily Timetable and 7 Mocks
Study Strategy

JEE Main 30 Day Strategy: Daily Timetable and 7 Mocks

Build the final month around chapter triage, seven analysed mocks, targeted repair, timed PYQs and a controlled three-day taper.

Founder, JEEnius - IIT Kanpur Alumni · Aug 9, 2026 · 14 min read

Physics artwork for the article: Pulley Problems JEE: Two-Block Systems and Friction

Pulley Problems JEE: Two-Block Systems and Friction

Learn a fixed Newton's-law method for ideal Atwood machines and rough-table pulley systems, including acceleration, tension and friction checks.

Founder, JEEnius - IIT Kanpur Alumni · Aug 8, 2026 · 8 min read

Physics artwork for the article: Pulley Constraint Equations for JEE: String Length, Tension and Friction

Pulley Constraint Equations for JEE: String Length, Tension and Friction

Learn a constraint-first method for fixed-pulley, Atwood-machine and rough-table questions, with solved examples and error checks.

Founder, JEEnius - IIT Kanpur Alumni · Aug 5, 2026 · 8 min read