TimeBack
JEE Level

Class 12 JEE Maths Syllabus

Class 12 Maths for JEE is dominated by Calculus — Differentiation, Integration, and their Applications together make up about 30% of the JEE paper. Add Vectors/3D and Probability, and Class 12 topics account for ~60% of JEE Maths. This is where you score big or lose big.

JEE Relevance

~60% of JEE Maths questions come from Class 12 syllabus. Calculus (30%), Vectors & 3D (10%), Matrices (5%), Probability (5%). Combined with Class 11 revision, this year determines your JEE Maths score.

Chapter-wise Breakdown

Relations & Functions

Easy0-1 question

NCERT Topics:

Types of relations (reflexive, symmetric, transitive)One-one and onto functionsBinary operations

How this connects to JEE:

Bijective functions for inverse existence. Function composition properties.

Study Guide →

Inverse Trigonometric Functions

Moderate1 question per paper

NCERT Topics:

Principal value rangesProperties and identitiesSimplification of inverse trig expressions

How this connects to JEE:

Equations involving inverse trig. Simplification using substitution. Appears in Integration too.

Formulas →

Matrices & Determinants

Moderate1-2 questions per paper

NCERT Topics:

Matrix operationsTypes of matricesDeterminant propertiesInverse of matrixAdjointSystem of equations

How this connects to JEE:

Cramer's rule, rank of matrix, eigenvalue-type problems (JEE Advanced), properties like |kA| = kⁿ|A|.

Study Guide →Formulas →

Continuity & Differentiability

Hard2-3 questions per paper

NCERT Topics:

Continuity at a pointDifferentiabilityChain ruleImplicit differentiationParametric differentiationLogarithmic differentiationRolle's theoremMean Value Theorem

How this connects to JEE:

Higher order derivatives, Leibniz theorem (JEE Advanced). Differentiability at sharp points (|x| type).

Study Guide →Formulas →

Application of Derivatives

Hard1-2 questions per paper

NCERT Topics:

Rate of changeIncreasing/decreasing functionsTangent and normalMaxima and minimaApproximations

How this connects to JEE:

Optimization word problems, monotonicity, concavity. JEE loves multi-step maxima/minima problems.

Study Guide →Formulas →

Integrals

Hard2-3 questions per paper

NCERT Topics:

Indefinite integrals (substitution, by parts, partial fractions)Definite integralsProperties of definite integralsFundamental theorem of calculus

How this connects to JEE:

Reduction formulas, Leibniz rule, Walli's formula. The single most important JEE topic.

Study Guide →Formulas →

Application of Integrals

Moderate1 question per paper

NCERT Topics:

Area under curvesArea between two curves

How this connects to JEE:

Area bounded by conics, modulus functions, and piecewise functions.

Study Guide →Formulas →

Differential Equations

Moderate1 question per paper

NCERT Topics:

Order and degreeVariable separableHomogeneous DELinear first-order DEFormation of DE

How this connects to JEE:

Bernoulli equation, exact differential equations, applications (growth/decay).

Formulas →

Vectors

Moderate1-2 questions per paper

NCERT Topics:

Dot productCross productScalar triple productProjectionArea of parallelogram/triangle

How this connects to JEE:

Vector triple product, reciprocal vectors (JEE Advanced). Geometric applications.

Study Guide →Formulas →

3D Geometry

Moderate1-2 questions per paper

NCERT Topics:

Direction cosinesEquation of line in 3DEquation of planeAngle between line and planeDistance from point to plane

How this connects to JEE:

Shortest distance between skew lines, image of point in plane, intersection of planes.

Study Guide →Formulas →

Probability

Moderate1-2 questions per paper

NCERT Topics:

Conditional probabilityMultiplication theoremIndependent eventsBayes' theoremBinomial distribution

How this connects to JEE:

Total probability theorem, mean and variance of binomial distribution.

Study Guide →Formulas →

Suggested Study Plan

Month 1-2

Relations & Functions + Inverse Trig + Continuity & Differentiability

Month 3-4

Application of Derivatives + Integration (all methods)

Month 5-6

Definite Integrals + Area + Differential Equations

Month 7-8

Matrices + Vectors + 3D Geometry + Probability

Month 9-10

Full revision + Mock tests (3-4 per week)

Study Tips for Class 12

  • ✓Calculus is 30% of JEE — spend 40% of your study time on Differentiation + Integration
  • ✓Integration needs volume practice: aim for 100+ problems across all methods
  • ✓Vectors & 3D is the most scoring chapter — formulaic problems with predictable patterns
  • ✓Revise Class 11 topics alongside — JEE tests EVERYTHING from both years
  • ✓Take full mock tests from month 3 onwards to build exam stamina

Practice Class 12 Topics

Chapter-wise practice with instant feedback and explanations

Start Free Practice

Other Classes

Foundation

Class 9 Syllabus

Foundation

Class 10 Syllabus

JEE

Class 11 Syllabus