Mathematics is an important subject of the JEE Main 2025 for scoring well in the exam. The subject tests your problem-solving skills, analytical thinking, and ability to apply mathematical concepts to real-world problems. For the JEE Main Maths Syllabus 2025, the Mathematics section is divided into three primary categories: Algebra, Calculus, and Coordinate Geometry, along with topics like Trigonometry, Probability, and Vectors. Mathematics in JEE Main is often regarded as one of the more challenging sections, but it can also be among the most rewarding. You can master the mathematics portion and perform with confidence on the test by concentrating on your preparation, comprehending important formulas, and practicing a variety of problems.
JEE Main Maths Preparation Tips
The JEE Main Mathematics Syllabus is very vast. These preparation tips will help you ace the JEE Main Exam 2025 mathematics section efficiently.
Start your preparation early
- Always try to start from the syllabus of XI
- Do not wait until the last moment to start your preparation
- Starting with your preparations early gives you a chance to improve your weaknesses after covering the whole syllabus
- It will save you from unnecessary pressure and stress
Try to learn by yourself
- Since you need to prepare for both JEE Main 2025 and your board exam, try to give enough time to both. Don’t compromise on exams and try to devote equal time to both exams.
- Understand the concepts yourself to retain them longer.
Prepare a study plan for every day
- You don’t just have to prepare for Maths, but there are two more subjects- Physics & Chemistry. Therefore, you must prepare a timetable and divide your time accordingly.
- Try to stick to your timetable and do not compromise on any subject
Select the best Study Material
- Try to find reliable and quality study material that is comprehensive so that you don’t have to waste your time searching for different topics in different books.
- Do not collect excessive study material rather go for good-quality and reliable sources such as NCERTs
Always start with NCERT
- Studying through NCERT books is the key to success
- Not just experts, but even the JEE toppers claim that the best books for the JEE Main preparation are NCERT.
JEE Main Mathematics 2025 Syllabus
| Topics | Details |
| Unit 1: 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 |
| 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 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 co-efficient, 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, 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 |
| Unit 4: Permutation and Combination | The fundamental principle of counting, permutation as an arrangement and combination as section, 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, properties of Binomial coefficients, 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 sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetic-Geometric progression |
| Unit 7: 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, monotonic Increasing and decreasing functions, Maxima, and minima of functions of one variable, tangents and normal. |
| Unit 8: Integral Calculus | Integral as an anti-derivative, Fundamental integral involving algebraic, trigonometric, exponential, and logarithmic functions. Integrations by substitution, by parts, and by partial functions. Integration using trigonometric identities. Integral is the 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. |
| Unit 9: Differential Equations | Ordinary differential equations, their order, and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation |
| Unit 10: 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 lineVarious 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 |
| Unit 11: Three Dimensional Geometry | Coordinates of a point in space, the 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, and coplanar lines. |
| Unit 12: Vector Algebra | Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product. |
| Unit 13: 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. |
| Unit 14: Trigonometry | Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions, and their properties, heights, and distance |
JEE Mains Maths Deleted Syllabus 2025
| Topic | Details |
| Mathematical Induction | Removed from the syllabus. |
| Three Dimensional Geometry | Excluded from the updated syllabus. |
| Mathematical Reasoning | No longer part of the JEE syllabus. |
| Triangle Inequality | This topic has been dropped. |
| Square Root of a Complex Number | Excluded from the syllabus. |
| Elementary Transformations | No longer included in the syllabus. |
| Determinants | Properties of determinants are removed. |
| Binomial Coefficients | Properties are no longer part of the syllabus. |
| Special Series | Sum up to ‘n’ terms of series (Sₙ, Sₙ₂, Sₙ₃) and Arithmetico-Geometric progression are excluded. |
| Mean Value Theorems | Rolle’s and Lagrange’s Mean Value Theorems are no longer in the syllabus. |
| Integral as Limit of Sum | Excluded from the syllabus. |
| Translation of Axes | Removed from the syllabus. |
| Family of Lines | Equations for lines passing through the intersection of two lines are dropped. |
| Circle Geometry | Conditions for tangency to a circle and tangent points (y = mx + c) are removed. |
| Line and Plane Equations | Equations of a line and a plane in different forms, and intersection and coplanarity conditions are excluded. |
| Scalar and Vector Triple Product | No longer included in the syllabus. |
| Probability and Binomial Distribution | Bernoulli trials and Binomial distribution topics are removed. |
| Heights and Distances | This topic is no longer part of the syllabus. |
JEE Main Mathematics Marks
| Topics | Marks |
|---|---|
| Coordinate Geometry | 20 |
| Integral Calculus | 12 |
| Limits, Continuity and Differentiability | 12 |
| Statistics and Probability | 8 |
| Three Dimensional Geometry | 8 |
| Complex numbers and Quadratic Equation | 8 |
| Vector Algebra | 8 |
| Matrices and Determinants | 8 |
| Trigonometry | 4 |
| Binomial Theorem and Its Application | 4 |
| Sequences and Series | 4 |
| Sets, Relation and Function | 4 |
| Differential Equation | 4 |
| Permutations and Combinations | 4 |
| Differential Calculus | 4 |
| Statics and Dynamics | 4 |
| Mathematical Reasoning | 4 |
Try to solve previous year’s question papers
- Solving JEE Main previous year’s question papers will give you an idea about the difficulty level of the examination and what topics can be asked in the JEE Main Maths Section
Best book for JEE Main Mathematics Preparation
| S.R | Book Name | Author | Buy Now |
| 1: | Maths for Class XI | R.D. Sharma | Click Here |
| 2: | Maths for Class XII | R.D. Sharma | Click Here |
| 3: | Algebra | Dr. S K Goyal | Click Here |
| 4: | Trigonometry | S L Loney | Click Here |
| 5: | Differential Calculus | Amit M Agarwal | Click Here |
| 6: | Geometry | Arihant | Click Here |
| 7: | Trigonometry | Amit M Agarwal | Click Here |
Topics that JEE Aspirants need to cover
- Conic Section
- Probability
- Definite Integration
- Vector & 3D Geometry
- Permutations & Combinations
- Quadratic Equation
- Differential Equation
- Complex Numbers
- Calculus; Definite Integral in Calculus
- Sequencesengineers
- Determinants
- Coordinate Geometry; Matrices in Algebra: Circle, Parabola, Hyperbola in Coordinate Geometry
- Application of Derivatives
- Functions, Limits, Continuity & Differentiability
JEE Main Maths Important Topics
| Topics | Weightage |
| 3-D Geometry | 5% |
| Probability and Statistics | 7% |
| Vector Algebra | 5% |
| Integration | 8% (Definite + Indefinite integration) |
| Complex Numbers | 5% |
| Parabola | 3% |
| Trigonometric Ratios | 3% |
JEE Main Maths Topics where aspirants can score 100%
| Topics | Weightage |
| Applications of Derivative | 4% |
| Limit and Continuity | 3% |
| Matrices and Determinants | 4% |
| Straight Lines and Pair of Straight Lines | 2% |
JEE Main Maths Fundamental Topics
| Topics | Weightage |
| Inverse Trigonometric Functions | 2% |
| Circles and Family of Circles | 6% |
| Sequence and Series | 5% |
JEE Main Maths Additional Topics
| Topics | Weightage |
| Logarithms | 1% |
| Quadratic Equations | – |
| Theory of Equations | 5% |
| Sets, Relations, and Functions | 4% |
| Differentiation | 2% |
| Permutation and Combination | 2% |
| Binomial Theorem | 1% |
| Locus | – |
| Hyperbola | 2% |
| Ellipse | 2% |
| Fundamentals of Mathematics | – |
| Solution of Triangle | 1% |
Quick JEE Main Maths Preparation Tips
- Solve Question Papers
- All the formulae should be at your fingertips
- Prepare a formulae chart
- Revise all the topics
- Try to use reference study material
- Do not take stress
- Take healthy food
- Take proper sleep & rest
- Don’t lead your preparation to the last
- Do not demotivate
- Always be positive
Detailed analysis of Previous year Question Papers
| UNIT & TOPIC NAME | NO OF QUES. | TOTAL MARKS | % WEIGHTAGE |
| Binomial Theorem | 1 | 4 | 3.33% |
| Complex Numbers | 1 | 4 | 3.33% |
| Circle | 1 | 4 | 3.33% |
| Parabola | 2 | 8 | 6.67% |
| Hyperbola | 1 | 4 | 3.33% |
| Straight Line | 1 | 4 | 3.33% |
| Limit, Continuity & Differentiability | 2 | 8 | 6.67% |
| Maxima & Minima | 1 | 4 | 3.33% |
| Sets & Relation | 1 | 4 | 3.33% |
| Application of Derivatives | 1 | 4 | 3.33% |
| Fundamentals of Mathematics | 1 | 4 | 3.33% |
| Definite integration | 2 | 8 | 6.67% |
| Differential equation | 1 | 4 | 3.33% |
| Indefinite integration | 1 | 4 | 3.33% |
| Matrices & Determinants | 2 | 8 | 6.67% |
| Permutation & Combination | 1 | 4 | 3.33% |
| Probability | 1 | 4 | 3.33% |
| Sequence & Series | 2 | 8 | 6.67% |
| Trigonometric equation | 1 | 4 | 3.33% |
| Trigonometric Ratio & identities | 1 | 4 | 3.33% |
| Coordinate Geometry (3-D) | 2 | 8 | 6.67% |
| Vector | 1 | 4 | 3.33% |
| Mathematical Reasoning | 1 | 4 | 3.33% |
| Statistics | 1 | 4 | 3.33% |
| Grand total | 30 | 120 | 100.00% |
Conclusion
JEE Main examination is a tough exam to crack. All three subjects, namely Physics, Chemistry, and Maths, are equally important. Math is a scoring subject, and students can score a hundred percent in this section. Do not delay practice. Take as many mock tests as possible.
Students must prepare efficiently to gain good marks. Prepare effectively to escalate your final score and crack this prestigious examination.
Good luck with all your future endeavors!
People also reading: