Free JEE Advanced Solver
JEE Advanced questions are longer and more creative than Mains. Paste any Paper 1 or Paper 2 question and get the full working — multi-correct MCQs, matrix-match, integer-type and comprehension paragraphs all supported.
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A worked Advanced question — root counting by sign analysis
Below is one fully worked example plus a short primer so you can see exactly how our AI reasons through a problem.
Example Problem
DEMO- 1
Rewrite as a function and look for zeros
Real solutions of eˣ = x² are zeros of f(x) — use sign analysis across x = 0 and large ±x.
- 2
Check the negative domain
For x < 0: eˣ > 0 but x² > 0 too. Since eˣ < 1 always and x² grows, they cross somewhere in x < 0. Specifically f(−1) = e⁻¹ − 1 ≈ −0.63 < 0 and f(−0.7) ≈ 0.497 − 0.49 > 0 — sign change gives ONE root in (−1, −0.7).
- 3
Check the positive domain near 0
f(0) = 1 > 0, f(1) = e − 1 ≈ 1.72 > 0, f(2) = e² − 4 ≈ 3.39 > 0. Nothing so far.
- 4
Check the positive domain at large x
For very large x, f(x) = eˣ − x² → ∞ since eˣ grows faster than any polynomial. f(4) = e⁴ − 16 ≈ 38.6; f(−) above. Need to check if f dips below 0 between 0 and large x.
- 5
Use derivative to find extrema
Graphically / numerically, f' = 0 has one solution near x ≈ 0.35. f(0.35) ≈ 1.42 − 0.12 > 0 — so f stays positive across all x > 0.
- 6
Count the roots
Exactly one root, and it lies in (−1, −0.7). Hence the number of real solutions is 1.
Final Answer
JEE Advanced — what makes it different from Mains, and how to prepare
JEE Advanced is the IIT admission test, held after JEE Main. It's conducted in two papers (Paper 1 and Paper 2, each 3 hours, Math + Physics + Chemistry in each) with question types Mains doesn't use: multiple-correct MCQs (partial marking, one wrong option = 0), matrix-match (4×4 or 3×4 grids), integer-answer type (0–9 or 0–99 with no negatives), and comprehension paragraphs (2–3 questions sharing a setup). Marking is complex — full marks, partial marks, zero, negative — with different rules per question type.
What makes Advanced different from Mains is not the syllabus (nearly identical) but the DEPTH. A Mains question tests if you know a formula; an Advanced question tests if you can apply three formulas in combination, or if you can reason from a novel setup. The worked example above is classic Advanced — the question ('how many real solutions') doesn't have a plug-and-chug formula; you need sign analysis, a derivative check, and asymptotic reasoning. Two-minute Mains questions become five-minute Advanced questions because there's more thinking per step.
Math pattern on Advanced: calculus (often novel setups with functional equations or inequalities), coordinate geometry (conic-section problems with multiple curves), algebra (complex numbers, sequences with pattern recognition), and probability/combinatorics (notoriously tricky at Advanced level). Physics: mechanics and electromagnetism dominate, with heavy multi-concept questions; modern physics and thermodynamics appear as well. Chemistry: physical chemistry is numerical and multi-step; organic has reaction-mechanism-deep questions; inorganic tests the subtler parts of p-block and coordination.
The solver above is tuned for Advanced-level reasoning. When you paste an Advanced question, it doesn't just apply a formula — it explicitly shows the reasoning chain: 'identify this is a functional inequality', 'check behaviour at boundaries', 'use derivative for monotonicity', 'count sign changes'. Each step is labelled and justified, which is exactly how you learn to attack novel problems in the exam hall.
JEE Advanced questions to practise (all four question types)
Tap any problem to solve it with full step-by-step working.
- Solve with AI →1.Functional limit (Math)JEE AdvancedHard
- Solve with AI →2.Definite integration (Math)JEE AdvancedHard
- Solve with AI →
3. A rod of length L is rotated about a vertical axis passing through one end with angular velocity ω. Find the tension at a distance r from the axis.
Rotational dynamics (Physics)JEE AdvancedHard - Solve with AI →4.Oxidation (Chemistry)JEE AdvancedMedium
- Solve with AI →5.Modulus equations (Math)JEE AdvancedHard
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Exam at a Glance
JEE Advanced — Pattern & Structure
JEE Advanced is the IIT admission test, conducted jointly by the seven old IITs on a rotating basis. Only the top ~250,000 scorers from JEE Main are eligible to appear, making it a two-stage filter for approximately 17,000 IIT seats across all campuses and programmes. The exam consists of two papers (Paper 1 and Paper 2), each three hours long, covering Mathematics, Physics, and Chemistry in the same session. Marks from both papers together form the final JEE Advanced rank.
108
Total Questions
360
Total Marks
360
Minutes
+4 single / +4 multi-correct (partial) / +3 integer / −2 wrong single
Marking Scheme
Question Distribution by Subject
| Subject | Questions | Marks |
|---|---|---|
| Mathematics (Paper 1 + 2 combined) | 36 | 120 |
| Physics (Paper 1 + 2 combined) | 36 | 120 |
| Chemistry (Paper 1 + 2 combined) | 36 | 120 |
| Total | 108 | 360 |
Topics
Important Topics & Strategy by Subject
Mathematics
JEE Advanced Math is the most time-intensive of the three subjects. Calculus and algebra together make up over 60% of the marks — prioritise these before coordinate geometry. Practise functional equations, limit problems with L'Hôpital and expansions, and definite integral properties (King's property, symmetry substitutions) since these are the highest-frequency Advanced-only topics. Spend the last 8 weeks exclusively on Advanced PYQ Math — the problem types repeat across years with moderate variation.
- Limits, Continuity, and Differentiability (functional equations, ε-δ concept)
- Differentiation — implicit, parametric, higher-order, Leibniz rule
- Applications of Derivatives — extrema, tangent-normal, mean value theorems
- Definite and Indefinite Integrals — properties, King's rule, Walli's formula
- Differential Equations — variable separable, linear, exact, Bernoulli
- Complex Numbers — modulus-argument, De Moivre's, nth roots, locus problems
- Matrices and Determinants — rank, system of equations, eigenvalue basics
- Permutations, Combinations, and Probability — conditional, Bayes, distributions
- Circles and Conics — tangent-normal conditions, pair of tangents, chord of contact
- Vectors and 3D Geometry — dot/cross products, planes, skew lines, shortest distance
Physics
Mechanics is the heaviest chapter in Advanced Physics — Newton's laws, work-energy, rotation, and SHM together can account for a third of Physics marks. Electricity and Magnetism is the second pillar: Gauss's law, circuits with capacitors/inductors, and Faraday's law are reliably tested. Optics and Modern Physics appear every year but with fewer multi-step questions; use them to bank easy marks. For each topic, practice Advanced PYQ before simulated new problems — the question format is more constrained than Mains.
- Newton's Laws and Friction — constraint motion, pulley systems, pseudo-force in non-inertial frames
- Work, Energy, and Power — variable force, potential energy curves, conservative forces
- Centre of Mass, Impulse, Momentum — elastic/inelastic collisions, rocket propulsion
- Rotational Motion — moment of inertia, rolling without slipping, angular momentum
- Simple Harmonic Motion — energy, forced oscillations, damped SHM
- Electrostatics — Coulomb's law, Gauss's law, capacitors (series/parallel, energy, dielectrics)
- Current Electricity — Kirchhoff's laws, Wheatstone bridge, RC/RL circuits with transients
- Magnetism and EMI — Biot-Savart, Ampere, Faraday, Lenz, AC circuits, self/mutual inductance
- Optics — refraction, TIR, lenses, mirrors, interference (YDSE), diffraction, polarisation
- Modern Physics — photoelectric effect, Bohr model, nuclear decay, nuclear reactions
Chemistry
JEE Advanced Chemistry rewards depth over breadth. Physical Chemistry is the most numerical — electrochemistry, thermodynamics, chemical kinetics, and equilibrium involve multi-step calculations and are consistently tested. Organic Chemistry at Advanced level tests mechanism reasoning: expect questions where you must predict the product of a sequence of reactions or explain stereochemical outcomes. Inorganic Chemistry is fact-heavy but the Advanced questions go beyond rote — coordination chemistry (CFT, naming, isomers) and the subtler p-block reactions are common.
- Thermodynamics — Hess's law, Gibbs free energy, entropy, spontaneity, phase transitions
- Chemical Equilibrium — Kp/Kc/Kx interconversions, Le Chatelier, acid-base buffer calculations
- Electrochemistry — EMF, Nernst equation, electrolysis (Faraday's laws), corrosion
- Chemical Kinetics — rate laws, integrated rate equations, Arrhenius, reaction mechanisms
- Atomic Structure and Chemical Bonding — MO theory, hybridisation, VSEPR, hydrogen bonding
- Organic Mechanisms — SN1/SN2/E1/E2, Markovnikov, electrophilic aromatic substitution, rearrangements
- Named Reactions — Aldol, Cannizzaro, Reimer-Tiemann, Wolff-Kishner, Beckmann rearrangement
- Stereochemistry — chirality, R/S assignment, optical activity, conformational analysis
- Coordination Compounds — IUPAC naming, isomers, CFT, spectrochemical series, magnetic properties
- p-Block Elements — halides, oxides, oxyacids of N/P/S/Cl; anomalous behaviour of B, C, N
Preparation
Study Plan — Phase by Phase
A structured timeline built around how top scorers actually prepare.
Month 1–3 (Mains Foundation)
Complete the full Class 11 and 12 syllabus — NCERT for Chemistry and Physics theory, standard textbook (Irodov-light) for Physics numericals, and SL Loney / Hall & Knight for Math foundations. Do not attempt PYQ yet; build concept clarity chapter by chapter. Log every 'I don't know why this works' moment — those are the Advanced gaps.
Month 4–6 (Advanced Pattern Exposure)
Switch to JEE Advanced PYQ by chapter: solve the last 10 years of PYQ for each topic as you complete it. Focus on understanding the multi-step reasoning structure — each Advanced answer should be a chain of 3–5 logical steps, not a plug-and-chug. Physics and Math PYQ are more important than Chemistry here.
Month 7–8 (Mock Paper Sprint)
Take one full Advanced mock (both papers, 6 hours) every weekend. Use weekdays for targeted fixes on weak topics. Track your accuracy split by question type: single-correct vs multi-correct vs integer — most students lose marks on multi-correct due to partial-marking miscalculation, not concept gaps.
Month 9–10 (PYQ Deep Dive)
Revisit 2010–2023 JEE Advanced PYQ papers as full-paper simulations. For every wrong answer, write down which step failed (concept, calculation, or question-reading). Chemistry inorganic and Physical Chemistry numerical practice should be the daily warm-up during this phase.
Final 3 Weeks (Consolidation)
No new topics. Revise formula sheets, named reactions, and your personal error log. Simulate exam-day timing: 3 hours for Paper 1, 30-minute break, 3 hours for Paper 2. Prioritise sleep and light revision over cramming — advanced exam fatigue is a real performance risk.
Frequently asked questions
How is the JEE Advanced solver different from JEE Main solver?+
Both use the same reasoning engine, but the Advanced version expects multi-step chains and shows the 'why' for each step — not just the formula. Advanced questions rarely have a plug-and-chug answer, so the output is optimised for understanding, not speed.
Does it handle multi-correct MCQs with partial marking?+
Yes. When a question has multiple correct answers (A, B, C, D and more than one is right), the solver evaluates each option independently and tells you which combination is fully correct — plus which partial combinations still earn marks per NTA's partial-marking rule.
What about matrix-match and comprehension paragraphs?+
Matrix-match: paste the two columns and the solver matches each entry in Column I to the correct entries in Column II, with reasoning per match. Paragraphs: paste the full comprehension text plus the question, and the solver uses the paragraph context to answer.
Does it handle integer-type answers (0–9 or 0–99)?+
Yes. The solver computes the numeric answer, rounds as needed, and flags if the result falls outside the integer range (which usually means a setup mistake). Shows the full computation so you can learn the technique for similar questions.
How good is it on Advanced-level calculus?+
Strong on functional limits, definite integrals with tricky substitutions, parametric and implicit differentiation, and properties-based integration (∫₀^a f(x) dx = ∫₀^a f(a−x) dx and similar). These are the highest-frequency Advanced topics.
Can I paste questions from the IIT-JEE Advanced official PYQ?+
Yes — that's exactly the intended input. The solver works on verbatim phrasing from the JEE Advanced papers. Paste or photograph a question and get the working in seconds.
Does the solver understand FIITJEE / Resonance / Allen packages?+
Yes — it works on any Advanced-level practice question regardless of source. Coaching packages often re-phrase IIT PYQ, which the solver handles identically.
Is it free for JEE Advanced aspirants?+
Yes. One guest solve per day without signup; a free account gives 5 daily solves plus flashcards, topic quizzes and a post-Mains study planner. Step-by-step working is never paywalled.
Crack the Advanced pattern — sign up on the free plan
Free account in 10 seconds: 5 daily solves with Advanced-level reasoning, multi-correct MCQs, matrix-match support, and a post-Mains study planner. No credit card.
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