JEE Mains Maths Syllabus 2027, Important Chapters, Weightage

Sets, Relations and Functions

Sets and representation, union/intersection/complement, power set, types of relations, one-one/onto functions, composition of functions

Complex Numbers and Quadratic Equations

Argand plane, modulus and argument, algebra of complex numbers, nature of roots, formation of quadratic equations

Matrices and Determinants

Types of matrices, algebra of matrices, determinants up to order 3, adjoint and inverse, solving linear equations using matrices

Permutations and Combinations

Fundamental counting principle, P(n,r) and C(n,r), simple applications

Binomial Theorem

Binomial theorem for positive integral index, general term, middle term

Sequence and Series

AP, GP, insertion of AM and GM, relation between AM and GM

Limit, Continuity and Differentiability

Limits, continuity, differentiation of all function types, derivatives up to order two, maxima and minima, rate of change

Integral Calculus

Indefinite and definite integrals, integration by substitution/parts/partial fractions, standard integral types, area under curves

Differential Equations

Order and degree, separation of variables, homogeneous and linear differential equations

Coordinate Geometry

Straight lines (all forms), circles (standard and general form), parabola, ellipse, hyperbola in standard forms

Three Dimensional Geometry

Coordinates in space, direction ratios and cosines, equation of a line, skew lines, shortest distance

Vector Algebra

Scalars and vectors, addition of vectors, scalar and vector products

Statistics and Probability

Mean, median, mode, standard deviation, variance, Baye's theorem, probability distribution

Trigonometry

Trigonometric identities and functions, inverse trigonometric functions and properties

Three-Dimensional Geometry

Single highest-weightage chapter consistently; 3-4 questions every session

Matrices and Determinants

Can expect 3-4 questions; mix of direct and application-based

Sequence and Series

Formula-heavy but predictable; appears in almost every paper

Differential Equations

Consistent appearance; method-based questions are scoring

Definite Integration

Frequently tested; properties of definite integrals are key

Binomial Theorem

2-3 questions every year; general term is the most tested concept

Vector Algebra

Usually paired with 3D Geometry in practice; direct scoring

Probability

Baye's theorem and probability distribution are regularly asked

Complex Numbers

1-2 questions per session; Argand plane and modulus problems are common

Permutations and Combinations

Counting principle-based questions appear every year

Calculus

Limits, Differentiation, Integration, Differential Equations, Applications of Derivatives

30 - 35%

Algebra

Matrices, Determinants, Sequence & Series, Binomial Theorem, Complex Numbers, Quadratic Equations, P&C;

25 - 30%

Coordinate Geometry

Straight Lines, Circles, Parabola, Ellipse, Hyperbola

15 - 20%

3D Geometry & Vectors

Three-Dimensional Geometry, Vector Algebra

10 - 15%

Trigonometry & Others

Trigonometric Identities, Inverse Trigonometry, Statistics & Probability

8 - 10%

NCERT Maths (Class 11 & 12)

NCERT

Concepts and fundamentals - always start here

Objective Mathematics for JEE Mains and Advanced

R D Sharma

Preparatory level problems

Cengage Mathematics Set for JEE Advanced

G. Tewani

Concepts + advanced problems

Advanced Problems in Mathematics for JEE

Vikas Gupta, Pankaj Joshi

Advanced problem-solving

Mock Tests and PYQs

Cracku’s JEE Mains Question Paper

Exam-level question practice

Chapter Wise Preparation

Cracku’s Practice Tests

Topic-Wise Practice