jee mains maths syllabus

NTA will be releasing the syllabus of Maths for JEE Mains 2025 soon. Once out, candidates can check the updated syllabus at jeemain.nta.ac.in.

Two chapters namely Mathematical Induction and Mathematical reasoning have been removed last year from the JEE Mains syllabus of Mathematics. The present syllabus consists of 14 units containing 5-10 topics each. The new and reduced syllabus is similar to NCERT’s reduced syllabus for classes 11 and 12.

This article consists of a detailed breakdown of the JEE Mains 2025 Maths syllabus, to help candidates figure out the chapters that are relevant to their preparation, and the chapters which can be excluded if the time falls short. However, in case you do have time in hand it is always best to cover the entire syllabus since it increases the chances of scoring a high percentile.

Download JEE Main 2025 Latest Syllabus

JEE Mains 2025 Syllabus for Mathematics

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.

Chapter-wise weightage for JEE Mains 2025

Chapters Total Questions Weightage
Sets 1 3.3%
Permutations & Combinations 1 3.3%
Probability 1 3.3%
Complex Numbers 1 3.3%
Binominal Theorem 1 3.3%
Limits 1 3.3%
Differentiability 1 3.3%
Indefinite Integration 1 3.3%
Definite Integration 1 3.3%
Differential Equations 1 3.3%
Height & Distance 1 3.3%
Trigonometric Equations 1 3.3%
The Area under the Curve 1 3.3%
Quadratic Equations 1 3.3%
Vectors 1 3.3%
Tangents and Normals 1 3.3%
Maxima and Minima 1 3.3%
Statistics 1 3.3%
Parabola 1 3.3%
Ellipse 1 3.3%
Hyperbola 1 3.3%
Mathematical Reasoning 1 3.3%
Sequences & Series 2 6.6%
Straight Lines 2 6.6%
3-D Geometry 2 6.6%
Determinants 2 6.6%

Deleted topics from JEE Mains 2025 Maths Syllabus

Unit Deleted Topics
Matrices and Determinants Properties of determinants, elementary transformations
Complex Numbers and Quadratic Equations Square root of a complex number, triangle inequality
Binomial Theorem and Its Simple Applications Properties of Binomial coefficients
Limit, Continuity, and Differentiability Rolle’s and Lagrange’s Mean value Theorems
Sequence and Series Sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetico-Geometric progression
Integral Calculas Integral as the limit of a sum
Co-Ordinate Geometry Translation of axes, Straight line: equations of internal and external by sectors of angles between two lines . Equation of the family of lines passing through the point of intersection of two lines.
Circle, conic sections: Condition for a line to be tangent to a circle, equation of the tangent. condition for Y = mx +c to be a tangent and point (s) of tangency.
Three Dimensional Geometry Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines
Vector Algebra Scalar and vector triple product
Trigonometry Heights, and distance
Statistics and Probability Bernoulli trials, and binomial distribution
Mathematical Inductions Whole chapter removed
Mathematical Reasoning

High priority topics for JEE Mains 2025 Maths preparation

CHAPTERS NO. OF QUESTIONS ASKED
2024 2023 2022
Jan + April Jan + April Jan + April
Matrices and Determinants 20+21 17+15 48
Integration ( Def.+ Indefinite ) 23+19 (24+2) + (19+6) 44
Limits, Continuity and Derivatives 9+11 11+12 30
Conics 14+16 11+12 50
3D Geometry and Vectors 36+39 35+14 43
Sequence and Series 16+19 18+19 36
Application of Derivatives 11+15 5+5 41
Sets, Relatives and Functions 24+24 (8+20)+18 36
Trig. and Inverse Trig. Functions 10+7 (8+6)+7+3 31
Differential Equations 16+17 4+9 36
Probability 10+13 11+11 26
Complex Numbers 10+9 11+8 26

Check out the previous year’s Question papers of JEE Mains to get an idea about the type of questions that could be expected -

Click on this link