JEE Main Maths Syllabus 2026 (Out): Section-Wise Topics, Weightage, Best Books

Units

Topics

Sets, Relations and Functions

Sets and their representation: Union, intersection and complement of sets and their algebraic properties

Power set: Relation, Type of relations, equivalence relations, functions

One-one, into and onto functions, the composition of functions.

Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals

Representation of complex numbers in the form a + ib and their representation in a plane

Argand diagram

Algebra of complex number

Modulus and argument (or amplitude) of a complex number

Square root of a complex number

Triangle inequality

Quadratic equations in real and complex number system and their solutions

Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots.

Matrices and Determinants

Matrices

Algebra of matrices

Type of matrices,

Determinants and matrices of order two and three

Properties of determinants

Evaluation of determinants

Area of triangles using determinants

Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations

Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices

Permutations and Combinations

Fundamental principle of counting

Permutation as an arrangement and combination as section,

Meaning of P (n,r) and C (n,r)

Simple applications.

Binomial Theorem and its Simple Applications

Binomial theorem for a positive integral index

General term and middle term

Properties of Binomial coefficients and simple applications.

Sequence and Series

Arithmetic and Geometric progressions

Insertion of arithmetic

Geometric means between two given numbers,

Relation between A.M and G.M sum up to n terms of special series

Sn, Sn2, Sn3

Arithmetico-Geometric progression

Limit, Continuity and Differentiability

Real-valued functions

Algebra of functions

polynomials, rational, trigonometric, logarithmic and exponential functions

Inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions.

Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions;

Derivatives of order up to two

Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives

Rate of change of quantities, monotonicI ncreasing and decreasing functions,

Maxima and minima of functions of one variable, tangents and normal.

Integral Calculus

Integral as an anti-derivative

Fundamental Integrals involving algebraic, Trigonometric, exponential and logarithms functions.

Integrations by substitution, by parts and by partial functions.

Integration using trigonometric identities. Integral as limit of a sum.

The fundamental theorem of calculus, properties of definite integrals.

Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.

Differential Equations

Ordinary differential equations, their order and degree,

Formation of differential equations

Solution of differential equation by the method of separation of variables

Solution of a homogeneous and linear differential equation.

Co-ordinate Geometry

Cartesian system of rectangular coordinates in a plane

Distance formula, sections formula

Locus and its equation,

Translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis.

Straight line: Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines co-ordinate of the centroid, orthocentre and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.

Circle, Conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent, sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency

3D Geometry

Coordinates of a point in space

Distance between two points

Section formula, directions ratios and direction cosines, the angle between two intersecting lines.

Skew lines, the shortest distance between them and its equation.

Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.

Vector Algebra

Vectors and scalars,

Addition of vectors, components of a vector in two dimensions and three-dimensional space

Scalar and vector products, scalar and vector triple product.

Statistics and Probability

Measures of discretion

Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials and binomial distribution.

Trigonometry

Trigonometrical identities and equations

Trigonometrical functions,

Inverse trigonometrical functions and their properties, heights and distance.

Chapters

Total Questions

Weightage

Sets

1

3.30%

Permutations & Combinations

1

3.30%

Probability

1

3.30%

Complex Numbers

1

3.30%

Binominal Theorem

1

3.30%

Limits

1

3.30%

Differentiability

1

3.30%

Indefinite Integration

1

3.30%

Definite Integration

1

3.30%

Differential Equations

1

3.30%

Height & Distance

1

3.30%

Trigonometric Equations

1

3.30%

The Area under the Curve

1

3.30%

Quadratic Equations

1

3.30%

Vectors

1

3.30%

Tangents and Normals

1

3.30%

Maxima and Minima

1

3.30%

Statistics

1

3.30%

Parabola

1

3.30%

Ellipse

1

3.30%

Hyperbola

1

3.30%

Mathematical Reasoning

1

3.30%

Sequences & Series

2

6.60%

Straight Lines

2

6.60%

3-D Geometry

2

6.60%

Determinants

2

6.60%

Author/Publisher

Name of Book

NCERT

NCERT class 11 and 12 Textbooks

Arihant Publications

Trigonometry

Amit Agarwal-Arihant Publications

Differential Calculus for IIT JEE

Arihant Publications

Coordinate Geometry and Vector