JEE Main 2025 Maths Syllabus PDF Download: Know Here Deleted Topics, and Weightage

MATHEMATICS UNIT 1: SETS, RELATIONS AND FUNCTIONS:

Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relations, type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions. 

UNIT 2: 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 numbers, modulus and argument (or amplitude) of a complex number, Quadratic equations in real and complex number systems and their solutions; Relations between roots and coefficients, nature of roots, the formation of

quadratic equations with given roots. 

UNIT 3: MATRICES AND DETERMINANTS:

Matrices, algebra of matrices, type of matrices, determinants and matrices of order two and three, evaluation of determinants, area of triangles using determinants; Adjoint and inverse of a square matrix; Test of consistency and solution of simultaneous linear equations in two or three variables using matrices. 

UNIT 4: PERMUTATIONS AND COMBINATIONS:

The fundamental principle of counting, permutations and combinations; Meaning of P(n, r) and C(n, r). Simple applications. 

UNIT 5: BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:

Binomial theorem for a positive integral index, general term and middle term and simple applications. 

UNIT 6: SEQUENCE AND SERIES:

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M. 

UNIT 7: LIMIT, CONTINUITY AND DIFFERENTIABILITY:

Real–valued functions, algebra of functions; polynomial, rational, trigonometric, logarithmic and exponential functions; inverse functions. 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, Applications of derivatives: Rate of change of quantities, monotonic-Increasing and decreasing functions, Maxima and minima of functions of one variable. 

UNIT 8: INTEGRAL CALCULAS:

Integral as an anti-derivative, Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Evaluation of simple integrals of the type

The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves by simple curves in standard forms. 

UNIT 9: DIFFERENTIAL EQUATIONS :

Ordinary differential equations, their order and degree, the solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type dy/dx+p(x)y=q(x). 

UNIT 10: CO-ORDINATE GEOMETRY :

Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus and its equation, 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, co-ordinate of the centroid, orthocentre and circumcentre of a triangle. Circle, conic sections: A standard form of equations of a circle, the general form of the equation of a circle, its radius and centre, 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 sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms. 

UNIT 11: THREE DIMENSIONAL GEOMETRY :

Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines and the angle between two intersecting lines. Equation of a line; Skew lines, the shortest distance between them and its equation. 

UNIT 12: VECTOR ALGEBRA :

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional spaces, scalar and vector products. 

UNIT 13: STATISTICS AND PROBABILITY :

Measures of dispersion; 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 variable. 

UNIT 14: TRIGONOMETRY :

Trigonometrical identities and trigonometrical functions, inverse trigonometrical functions their properties.

Download JEE Main 2025 Syllabus PDF - Mathematics

Subject-wise distribution of Questions, Total Number of Questions, and Marks

Subject

Section A

Section B

Marks

Mathematics

20* 

5 

100

Physics

20* 

5 

100

Chemistry

20* 

5 

100

Total

75

300

* Each Subject will have two sections. Section A will be of Multiple-Choice Questions (MCQs) and Section B will contain Questions whose answers are to be filled in as a numerical value. In Section B, candidates have to attempt 05 (five) questions. There will be negative marking for both Section A and Section B. For each question in Section B, a candidate has to enter the correct integer value of the answer using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer. For Section B, the answer should be rounded off to the nearest integer.

UNIT &TOPIC NAME 

(%) WEIGHTAGE

Binomial Theorem 

7%

Binomial Theorem 

7%

Complex Numbers 

3%

Complex Numbers 

3%

Coordinate Geometry 

7%

Ellipse 

3%

Parabola 

3%

Differential Calculus 

13%

Continuity &Derivability 

3%

Functions 

3%

Methods of Differentiation 

3%

Sets &Relation 

3%

Integral Calculus 

10%

Area under curve 

7%

Definite integration 

3%

Mathematical Reasoning 

3%

Mathematical Reasoning 

3%

Permutation & Combination 

7%

Permutation & Combination 

7%

Trigonometry 

3%

Inverse Trigonometric function 

3%

Vector and 3D

7%

Three Dimensional Geometry 

3%

Vector 

3%

UNIT & TOPIC NAME

NO OF QUESTIONS

TOTAL MARKS

(%) WEIGHTAGE

Maths

20

80

66.67%

Class-12

13

52

43.33%

Application of Derivatives

1

4

3.33%

MONOTONICITY (INTERVALS OF MONOTONICITY)

1

4

3.33%

Definite Integration

3

12

10.00%

Properties of Definite Integration (Property V-VI (Five and six) (king rule))

1

4

3.33%

Properties of Definite Integration (Property IV (Even odd function))

1

4

3.33%

Application of Definite Integration as Area Under Curve (Area of Curve with a Straight Line)

1

4

3.33%

Differential Equation

2

8

6.67%

Method of Solving Differential Equation (Integrating Factor Method (linear Differential Equation))

1

4

3,33%

Method of Solving Differential Equation (Reducible to integrating factor (Bernaull's equation))

1

4

3.33%

MATRICES

1

4

3,33%

Determinant of Square Matrix (Determinant of Square matrix )

1

4

3.33%

Probability

1

4

3.33%

Total Probability Theorem (Baye's Theorem)

1

4

3.33%

Relation Function ITF

1

4

3.33%

Relation and Its Type (Number of Relations)

1

4

3.33%

Three Dimensional Geometry

1

4

3.33%

Line(Shortest Distance Between Lines )

1

4

3.33%

Vector

1

4

3.33%

Vector Triple Product(Vector Triple Product)

1

4

3.33%

Limit Continuity and Derivability

2

8

6.67%

Derivability (Derivability in interval)

1

4

3.33%

Methods of Evaluation of Limits (By Substitution)

1

4

3.33%

Class-11

7

28

23.33%

Circle

1

4

3.33%

Interaction between two Circles (Common tangent from Circle to circle)

1

4

3.33%

Conic Section

1

4

3.33%

Permutation and Combination

2

8

6.67%

Grouping Theory (Equal + Unequal Grouping )

1

4

3.33%

Method of Fictitious Partition (Non-Negative Integral Solution)

1

4

3.33%

Sequence and Series

2

8

6.67%

Arithmetic Progression (General Term of AP)

1

4

3.33%

Arithmetic Progression (Arithmetic Mean)

1

4

3.33%

Quadratic Equation

1

4

3.33%

Basic of Quadratic (Quadratic Equation)

1

4

3.33%