Free JEE Main Solver
Paste any JEE Main question — Math, Physics or Chemistry — and get the full step-by-step solution. Covers the NTA syllabus for Class 11 and 12, with the methods JEE rewards: shortcuts, back-solving, and formula-first derivations.
💡 You can also paste an image with Ctrl+V or drag a file here.
Learn
A worked quadratic question — Vieta's relations in action
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
Let the roots be α and α + 1
By Vieta's — sum of roots = −b/a = 5. Solve for α directly.
- 2
Find the other root
The two roots are 2 and 3.
- 3
Product of roots gives k
By Vieta's — product of roots = c/a = k (since a = 1).
- 4
Verify by discriminant shortcut
|α − β| = 1 matches the condition, so k = 6 is correct.
Final Answer
JEE Main strategy — syllabus breakdown and exam-room shortcuts
JEE Main is the NTA-conducted entrance test for NITs, IIITs, GFTIs, and the qualifier for JEE Advanced. The Math, Physics and Chemistry papers each have 25 questions (20 MCQs + 5 numerical-answer), with +4 for correct and −1 for wrong. What separates a 200+ scorer from a 250+ scorer is rarely new topics — it's speed and accuracy on the topics everyone knows.
Math pattern: algebra (quadratics, complex numbers, sequences, matrices), calculus (limits, derivatives, definite integrals, area under curves), coordinate geometry (circles, parabolas, ellipses, hyperbolas), trigonometry (identities, inverse trig, heights & distances), and vectors & 3D geometry. Each topic gets 3–5 questions. Physics pattern: mechanics (~30%), electromagnetism (~25%), modern physics and thermodynamics (~20%), optics and waves (~15%), the rest is units/errors and semiconductors. Chemistry pattern: organic (~35%, often reaction-mechanism heavy), physical (~35%, numerical), inorganic (~30%, memory-driven).
The biggest JEE Main shortcut: learn to back-solve from the answer choices. A question that takes 90 seconds from scratch usually takes 20 seconds if you try the four options. The second biggest: master Vieta's relations for quadratics — the worked example above is a 15-second problem once you see it, three minutes without. Third: memorise the standard limit, integral and differentiation results; deriving them in the exam is a score killer.
The solver above treats your input as a JEE Main question. It identifies the subject and topic, picks the fastest standard method (not always the most elegant — speed matters), and shows the working with the shortcuts labelled. Paste a question from any year's paper or from your coaching module and the output tells you which Vieta/identity/formula would have saved you time.
JEE Main questions to practise (PYQ-style)
Tap any problem to solve it with full step-by-step working.
- Solve with AI →1.LimitsJEE Main (Class 11)Easy
- Solve with AI →2.Definite integrationJEE Main (Class 12)Hard
- Solve with AI →3.Coordinate geometryJEE Main (Class 11)Medium
- Solve with AI →
4. A particle moves with v = 3t^2 - 6t + 4 m/s. Find its displacement from t = 0 to t = 3 s.
Kinematics (Physics)JEE Main (Class 11)Medium - Solve with AI →5.Stereochemistry (Chemistry)JEE Main (Class 12)Medium
Exam at a Glance
JEE Main — Pattern & Structure
JEE Main is the NTA-conducted national entrance test for admissions to NITs, IIITs, and GFTIs — and the qualifying gateway for JEE Advanced (IIT admissions). The exam is conducted in two sessions annually (January and April), each with multiple shifts over 3–4 days. Approximately 1.2 million students appear each session, competing for about 35,000 NIT/IIIT seats. NTA normalises scores across shifts using percentile; the best of the two session percentiles forms the final rank. Qualifying for JEE Advanced requires finishing in the top 250,000 of the final JEE Main merit list.
75
Total Questions
300
Total Marks
180
Minutes
+4 / −1 (MCQ), +4 / 0 (Numerical)
Marking Scheme
Question Distribution by Subject
| Subject | Questions | Marks |
|---|---|---|
| Mathematics | 25 | 100 |
| Physics | 25 | 100 |
| Chemistry | 25 | 100 |
| Total | 75 | 300 |
Topics
Important Topics & Strategy by Subject
Mathematics
Algebra and Calculus together account for over 55% of the JEE Main Math paper — master these before coordinate geometry. The most efficient approach is to practise chapter-wise PYQ (2014–2024) after finishing each topic, since NTA reuses problem structures with minor variations. For MCQs, back-solving from the answer choices (substituting options into the question) is faster than forward solving for most quadratic, integration, and 3D geometry questions.
- Quadratics and Complex Numbers — roots, Vieta's relations, polar form, De Moivre's theorem
- Sequences, Series, and Progressions — AP, GP, HP, sum formulae, AM-GM inequality
- Permutations, Combinations, and Probability — counting, conditional probability, Bayes' theorem
- Matrices and Determinants — operations, inverse, system of equations, properties of determinants
- Limits and Continuity — standard limits, L'Hôpital, squeeze theorem, types of discontinuity
- Differentiation — chain rule, implicit, parametric, Rolle's/MVT, tangent-normal problems
- Integration — substitution, by parts, partial fractions, definite integrals, King's property
- Coordinate Geometry — parabola, ellipse, hyperbola (tangent-normal, chord of contact, pair of tangents)
- Vectors and 3D Geometry — dot/cross products, direction cosines, planes, lines, shortest distance
- Trigonometry — identities, inverse trig, principal values, heights and distances
Physics
Mechanics is the single largest topic (~30% of Physics marks) and also the foundation for many later chapters. Master Newton's laws, energy methods, and rotation before moving to electromagnetism. For numerical-type Physics questions, practise clean dimensional analysis and unit substitution — many students lose marks on NAT questions from unit errors, not concept gaps. Modern Physics and Thermodynamics are short chapters but appear on every paper; spending two weeks on each gives disproportionate returns.
- Kinematics — relative motion, projectile motion, graphs of displacement/velocity/acceleration
- Newton's Laws and Friction — constraint motion, free-body diagrams, inclined planes, pulley systems
- Work, Energy, Power, and Momentum — variable force, elastic/inelastic collisions, centre of mass
- Rotational Motion and SHM — moment of inertia, rolling without slipping, angular momentum, energy in SHM
- Gravitation and Properties of Matter — orbital velocity, surface tension, viscosity, Bernoulli
- Electrostatics and Capacitors — Coulomb's law, Gauss's law, potential, series/parallel capacitors, dielectrics
- Current Electricity — Kirchhoff's laws, Wheatstone bridge, potentiometer, meter bridge
- Magnetism and Electromagnetic Induction — Biot-Savart, Ampere's law, Faraday's law, AC circuits
- Optics — geometric (mirrors, lenses) and wave (YDSE, single-slit, thin films, polarisation)
- Thermodynamics and Modern Physics — laws of thermodynamics, KTG, photoelectric effect, Bohr's model, nuclear decay
Chemistry
Organic Chemistry is the most scoring section if you learn reaction mechanisms deeply — once you understand why a reaction happens (electrophile attacks nucleophile, resonance stabilisation, leaving group ability), you can predict products you've never seen before. Physical Chemistry is purely numerical; mole concept and stoichiometry are the base, and every other Physical Chem topic builds on them. Inorganic Chemistry rewards regular revision: d/f block, coordination compounds, and p-block reactions are high-frequency and memory-intensive.
- Mole Concept, Stoichiometry, and Redox — balancing equations, limiting reagent, concentration calculations
- Atomic Structure and Periodic Table — quantum numbers, electronic configuration, periodic trends
- Chemical Bonding — VSEPR, hybridisation, MO theory, hydrogen bonding, dipole moments
- Thermodynamics and Thermochemistry — Hess's law, Gibbs energy, entropy, bond energies
- Equilibrium — Kp/Kc, Le Chatelier, solubility product, buffer solutions, Henderson-Hasselbalch
- Electrochemistry and Chemical Kinetics — Nernst equation, Faraday's laws, rate laws, Arrhenius
- General Organic Chemistry (GOC) — inductive/resonance/hyperconjugation effects, reaction intermediates
- Hydrocarbons, Haloalkanes, and Haloarenes — preparation, reactions, SN1/SN2/E1/E2, Markovnikov
- Aldehydes, Ketones, Alcohols, Carboxylic Acids, and Amines — named reactions, oxidation states, reactivity
- d/f Block, Coordination Compounds, and p-Block — IUPAC naming, isomers, CFT, p-block oxyacids
Preparation
Study Plan — Phase by Phase
A structured timeline built around how top scorers actually prepare.
Month 1–3 (Foundation)
Complete the full Class 11 and 12 syllabus — NCERT first for all three subjects, then one standard reference per subject (HC Verma for Physics, MS Chauhan or Himanshu Pandey for Organic, Cengage or Arihant for Math). Do every NCERT exercise. Mark the 20% of concepts that keep appearing in chapter-end questions — those are the NTA favourites.
Month 4–6 (Chapter-Wise PYQ)
For each chapter, solve 5 years of JEE Main PYQ questions immediately after finishing it. Focus on recognising the question pattern: NTA re-uses the same structure with different numbers. Keep a personal error notebook — note which step failed, not just 'got it wrong'. Speed target: under 2 minutes per MCQ, under 3 minutes per NAT.
Month 7–8 (Mock Tests)
Take two full mocks per week (3-hour, NTA pattern). Review every error the same day. Track your Section-B (NAT) accuracy separately — most students score better on MCQs but lose the exam on NAT. Aim for 4/5 NAT correct per subject before attempting the next phase.
Month 9 (Sprint and Weak-Topic Fix)
Identify your bottom 3 chapters by accuracy from mock analytics and dedicate 10 days of concentrated practice. Simultaneously, revise your formula sheets daily — NTA questions test formula recall speed, not derivation ability. Do one full mock per week to maintain sharpness.
Final 2 Weeks (Consolidation)
Light revision only — formula sheets, named reactions, periodic table trends. No new topics. Simulate exam-day conditions: 3-hour mocks at the same time slot as your real session. On exam day, Section B: answer the 5 easiest NAT questions first (no negative marking), then return to MCQs.
Frequently asked questions
Does the solver follow the exact JEE Main NTA syllabus?+
Yes — Math, Physics and Chemistry as per the latest NTA syllabus (Class 11 and 12 NCERT chapters). The solver identifies the chapter automatically (e.g. 'Complex Numbers', 'Current Electricity', 'p-Block Elements') so you know which topic a question belongs to.
Can I paste JEE Main PYQ (previous year questions)?+
Yes, that's the recommended input. The solver works on the exact phrasing of NTA past papers and shows which standard method or shortcut applies — invaluable for building pattern recognition across 2014–2024 papers.
How do I use this solver for NUMERICAL ANSWER TYPE (NAT) questions?+
Paste the question exactly as in the paper. The solver returns the numerical answer rounded to two decimals (NTA convention) plus the full working — useful for checking your answer and for seeing the fastest route to it.
Does this cover both Math and the science subjects for JEE Main?+
Yes — Math, Physics and Chemistry are all covered with step-by-step working. Physics problems include labelled free-body diagrams where relevant; Chemistry shows reaction arrows and equilibrium expressions; Math shows each algebraic or calculus manipulation.
How is this different from Vedantu, Unacademy or Physics Wallah AI?+
Those platforms are video-heavy; our tool is an AI step-by-step SOLVER — paste a question and see the working in seconds. It pairs with quizzes, flashcards and a revision planner, but the primary value is instant solutions for your personal question bank.
Can I use it on my phone during JEE Main prep?+
Yes. It's mobile-first, and the camera input lets you photograph questions from your coaching module, NCERT textbook or HC Verma / Cengage / Arihant materials without retyping. Great for late-night revision.
Is it free for JEE Main aspirants?+
Yes. One guest solve per day without signup; a free account gives 5 daily solves plus history, topic quizzes, flashcards and a JEE Main study planner. Step-by-step working is never paywalled.
What about JEE Advanced — is that covered too?+
Yes, see /exams/jee-advanced for the Advanced-specific solver. Advanced has different question patterns (multi-correct MCQs, matrix-match, paragraphs) and longer, more creative problems — the solver handles those differently from the Main format.
Does it help with the Rank vs Percentile conversion or cutoffs?+
The solver is for practice problems. For rank/percentile analytics and past-year cutoffs, check the NTA official site. Our focus is making your practice faster and more effective so your percentile takes care of itself.
Solve faster, score higher — sign up on the free plan
Free account in 10 seconds: 5 daily solves across M/P/C, PYQ-style quizzes, formula flashcards, and a month-by-month JEE Main planner. No credit card needed.
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