Table of Contents
JEE Mains Maths Syllabus 2025: The National Testing Agency has released the complete JEE Mains syllabus 2025 on its official website i.e., www.jeemains.nta.ac.in. The candidates can check the JEE Mains 2025 Maths syllabus PDF in online mode and can also check it below. The candidate interested in the JEE Mains 2025 examination must go through the syllabus thoroughly and are also advised to download the JEE Mains previous year papers, as the JEE Mains 2025 Maths Syllabus comprises all the important topics and the previous year’s papers will help the students to prepare well for the JEE Mains 2025 examination.
JEE Mains 2025
According to the National Testing Agency, the JEE Mains 2025 Exam will be conducted in two sessions: January and April. The JEE Main Exam Date 2025 for session 1 has been announced by the National Testing Agency. As per it the session 1 exams will be held between January 22 and January 31, 2025.
According to the JEE Main Exam Pattern, the Joint Entrance Examination (JEE Main) is a set of two papers: Paper 1 and Paper 2. Paper 1 (B.E./B.Tech.) is conducted for admission to Undergraduate Engineering Programs (B.E/B. Tech) at NITs, IIITs, other Centrally Funded Technical Institutions (CFTIs), Institutions/Universities funded/recognized by participating State Governments.
JEE Mains Maths Syllabus 2025
The JEE Main Syllabus pdf for Mathematics consists of all the topics included in the Class 11th and 12th Maths syllabus. Mathematics being calculative in nature, is considered to be one of the toughest and longest papers due to its calculative nature. It requires extra focus and a specific approach to solve problems effectively. To strengthen their preparation, students should review previous years’ JEE Main question papers.
Based on past analysis, about 40% of the syllabus comes from Class 11 topics, while around 60% is from Class 12. The Mathematics syllabus is almost the same for students appearing in B.E./B.Tech., B.Arch., and B.Planning exams, helping students prepare consistently across all three streams.
JEE Mains Maths Syllabus 2025
The Students are advised to firstly go through the newly updated JEE Mains syllabus before starting their preparation for the JEE Mains exam 2025. The JEE Mains 2025 Maths Syllabus has been tabulated below, which covers almost all the topics of Mathematics.
JEE Mains Maths Syllabus 2025 | |
Units | JEE Maths Syllabus |
Sets, Relations, and Functions | Sets and their representation; Union, intersection, and complement of sets and their algebraic properties; Power set; Relation, Types 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 numbers, 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. Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots. |
Matrices and Determinants | Matrices, algebra of matrices, types 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 | The fundamental principle of counting, permutation as an arrangement and combination as selection, 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. |
Sequences 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: S n, S n2, Sn3. Arithmetico-Geometric progression. |
Limit, Continuity, and Differentiability | Real-valued functions, algebra of functions, polynomials, 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. Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic – increasing and decreasing functions, Maxima and minima of functions of one variable, tangents, and normals. |
Integral Calculus |
|
Differential Equations | Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations. |
Co-ordinate Geometry | Cartesian system of rectangular coordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Straight lines Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines. Circles, conic sections The standard form of the equation of a circle, general form of the equation of a circle, its radius and center, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the center at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, 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. |
Three Dimensional Geometry | Coordinates of a point in space, the distance between two points, section formula, direction 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, intersection of a line and a plane, and 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 |
|
Trigonometry | Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances |
JEE Mains 2025: Maths Deleted Topics
The National Testing Agency has released a notice that informs about the deleted topics from the JEE Mains Syllabus. The students are advised to carefully go through all the topics mentioned on the newly updated JEE Mains Physics syllabus. The students can also refer to the table mentioned below, as it will help them to know, which topics are removed from the syllabus and will also help them manage time for the rest of the important topics.
JEE Mains 2025 Chemistry Deleted Topics | |
UNIT | Deleted Topics |
Unit 2: Complex Numbers and Quadratic Equations | Square Root of a Complex Number, |
Triangle Inequality | |
Unit 3: Matrices and Determinants | Evaluation of determinants, Elementary transformations, |
Test of consistency and solution of simultaneous linear equations in two or three variables using determinants | |
Unit 5: Mathematical Induction | Principle of Mathematical Induction and its simple applications. |
Unit 6: Binomial Theorems and its Simple Applications | Properties of Binomial Coefficients |
Unit 7: Sequences and Series | Sum up to n terms of special series; Sn, Sn2, Sn3 |
Arithmetic-Geometric progression | |
Unit 8: Limits, Continuity and Differentiability | Rolle’s and Lagrange’s Mean value Theorems |
Tangents and normal | |
Unit 9: Integral Calculus | Integral as a Limit of Sum |
Unit 10: Differential Equations | The formation of differential equations |
Unit 11: Coordinate Geometry | Translation of Axes |
Equations of internal and external by sectors of angles between two lines coordinate of the centroid | |
Orthocenter, and circumcenter of a triangle | |
Equation of the family of lines passing through the point of intersection of two lines | |
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 | |
Unit 12: Three-Dimensional Geometry | Equation of a plane in different forms |
The intersection of a line and a plane | |
Coplanar lines | |
Unit 13: Vector Algebra | Scalar and vector triple product |
Unit 14: Statistics and Probability | Bernoulli trials, and binomial distribution |
Unit 15: Trigonometry | Heights, and distance |
Unit 16: Mathematical Reasoning: | Statement logical operations and, or, implies, implied by, if and only if, |
Understanding of tautology | |
converse, and contrapositive |
Most Important Topics of Maths For JEE Mains 2025
Knowing all the important topics of mathematics for the JEE Mains 2025 Examination is crucial for the focused preparation of the students. As it optimizes the study time and increases the chances of scoring well in the exam. It helps prioritize areas where the student needs improvement and ensures a more efficient and targeted approach to mastering the exam content. Here we have mentioned some of the important topics of mathematics that need to be paid more attention during the preparation of the exam.
- Trigonometry
- Permutations and Combinations
- Sequence and Series
- Complex Number and Quadratic Equations
- Circle, Conic Sections
- Integral Calculus
- Three Dimensional Geometry
- Vector Algebra
- Probability
Best Books for JEE Mains Mathematics 2025 Preparation
Preparing for JEE Main Mathematics requires good books to help understand the concepts. Some of the best books for JEE Main Maths are easy to follow and cover all important topics like algebra, calculus, and geometry. These books have clear explanations, examples, and lots of practice problems to help students get better. Here are some of the top books for JEE Main Mathematics preparation:
- NCERT Mathematics for Class 11 and 12 – Great for basics.
- RD Sharma’s Objective Mathematics – Good for practice.
- Cengage Mathematics – Helpful for solving tricky questions.
- Arihant Skills in Mathematics series – Covers different topics well.
- Problems in Calculus of One Variable by I.A. Maron – For calculus practice.
- Higher Algebra by Hall and Knight – Excellent for algebra topics.