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JEE Advanced 2025 Maths Syllabus

JEE Mains & Advanced

It is a dream of every pupil of India who wants to pursue engineering as thier career, to crack the IITs. They are the most hyped-up engineering institutions in India and are actually they worth the hype. More than lakhs of candidates appear for IIT JEE Mains & Advanced Examinations each year, making it one of the most important exams in India. It takes lots of focus to prepare into IITs and clearing JEE Mains and JEE Advanced in many different ways. Be it your sleep schedule, social life, hobbies, or normal routine, everything takes the backseat when you are on your journey to prepare for this toughtest exam.

The exam has a total of three subjects which is Physics, Chemistry, and Mathematics.  JEE advanced is objective-based assessment exam where students have to choose the correct answer among four available options. . But, the criticality of the exam does not limit itself to choosing the right answer but It further extends to the system of negative marking, which means that if the answer chosen by candidate is wrong then he or she will lose a mark. Since it’s a difficult exam in the whole country, the preparation has to be strong and it should start with checking the correct syllabus.

Candidates can check the topics and sub-topics included in JEE Advanced Mathematics Syllabus 2025 in the table below

JEE Advanced Maths Topics

Subtopics

Sets, Relations and Functions

Sets and their representations, different kinds of sets (empty, finite and infinite), algebra of sets, intersection, complement, difference and symmetric difference of sets and their algebraic properties, De-Morgan’s laws on union, intersection, difference (for finite number of sets) and practical problems based on them. Cartesian product of finite sets, ordered pair, relations, domain and codomain of relations, equivalence relation Function as a special case of relation, functions as mappings, domain, codomain, range of functions, invertible functions, even and odd functions, into, onto and one-to-one functions, special functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer etc.), sum, difference, product and composition of functions.

Algebra

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations. Statement of fundamental theorem of algebra, Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic and geometric progressions, arithmetic and geometric means, sums of finite arithmetic and geometric progressions, infinite geometric series, sum of the first n natural numbers, sums of squares and cubes of the first n natural numbers. Logarithms and their properties, permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients

Matrices

Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, elementary row and column transformations, determinant of a square matrix of order up to three, adjoint of a matrix, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables. 

Probability and Statistics

Random experiment, sample space, different types of events (impossible, simple, compound), addition and multiplication rules of probability, conditional probability, independence of events, total probability, Bayes Theorem, computation of probability of events using permutations and combinations. Measure of central tendency and dispersion, mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data, analysis of the frequency distribution with same mean but different variance, random variable, mean and variance of the random variable.

Trigonometry

Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations. Inverse trigonometric functions (principal value only) and their elementary properties.  

Analytical Geometry

Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin. Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line. Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus problems. 

Three dimensions: Distance between two points, direction cosines and direction ratios, equation of a straight line in space, skew lines, shortest distance between two lines, equation of a plane, distance of a point from a plane, angle between two lines, angle between two planes, angle between a line and the plane, coplanar lines.  

Differential Calculus

Limit of a function at a real number, continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions. Continuity of composite functions, intermediate value property of continuous functions. Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions. Tangents and normals, increasing and decreasing functions, derivatives of order two, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem, geometric interpretation of the two theorems, derivatives up to order two of implicit functions, geometric interpretation of derivatives

Integral Calculus

Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals as the limit of sums, definite integral and their properties, fundamental theorem of integral calculus. Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas bounded by simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations of first order and first degree, separation of variables method, linear first order differential equations. 

Vectors

Addition of vectors, scalar multiplication, dot and cross products, scalar and vector triple products, and their geometrical interpretations.

JEE Advanced Maths Syllabus 2025: Marks-Wise Weightage

Aspirant can check the mark-wise weightage of the topics included in JEE Advanced Maths Syllabus in the table below

Topics

Marks

Calculus

40-50 marks

Vector and 3D

15-20 marks

Probability and Permutation & Combination

15-20 marks

Parabola, Hyperbola, Ellipse, Rectangular Hyperbola

15 marks

Complex Numbers

15 marks

JEE Advanced 2025: Exam Highlights:

Particulars

Details

Exam Name

JEE Advanced

Conducted By:

Joint Admission Board 2024

Number of Papers

2

Test Duration

Paper- I: 3 hrs

Paper- II: 3 hrs

Exam Month

June (after JEE Main Results)

Maximum Marks

Paper- I: 183

Paper- II: 183

Total: 306

Subjects

Paper- I: Physics, Chemistry, Mathematics

Paper- II: Physics, Chemistry, Mathematics

Mode of Examination

Computer-Based Test (CBT) Mode

Number of Centres

321 Cities (Divided in 7 IIT Zones)

JEE Advanced Paper-I Pattern (As per the Previous Year Pattern):

Section & Question Type

No. of Marks

No. of Questions

Section 1 (MCQs with Single Correct Option)

18

6

Section 2 (Single Correct Option)

24

6

Section 3 (Numerical Value Answer)

24

6

JEE Advanced Paper-II Pattern (As per the Previous Year Pattern):

Section & Type of questions

No. of questions

Maximum Marks

Section 1 (MCQs with 1 or more than 1 correct answer)

6

24

Section 2 (Numerical Value answer type questions)

6

24

Section 3 (Single digit integer answer (0-9)

6

18

JEE Advanced 2025 Chapter-Wise Weightage for Mathematics

UNIT & TOPIC NAME

NO OF QUESTIONS

TOTAL MARKS

(%) WEIGHTAGE

Class-12

23

81

68%

Differential Calculus

3

10

8%

  • Application of Derivatives

1

3

3%

  • Limit

1

3

3%

  • Functions

1

4

3%

Integral Calculus

6

23

19%

  • Definite integration

5

19

16%

  • Differential equation

1

4

3%

Matrix & Determinants

3

10

8%

  • Matrices & Determinants

3

10

8%

Probability

5

17

14%

  • Probability

5

17

14%

Trigonometry

2

8

7%

  • Inverse Trigonometric function

2

8

7%

Vector and 3D

4

13

11%

  • Vector

1

3

3%

  • Three Dimensional Geometry

3

10

8%

Class-11

11

39

33%

Complex Numbers

3

11

9%

  • Complex Numbers

3

11

9%

Coordinate Geometry

3

11

9%

  • Circle

1

4

3%

  • Ellipse

1

4

3%

  • Parabola

1

3

3%

Trigonometry

2

6

5%

  • Solution of Triangle

2

6

5%

Sequence & Series

1

4

3%

  • Sequence & Series

1

4

3%

Binomial Theorem

1

4

3%

  • Binomial Theorem

1

4

3%

Statistics

1

3

3%

  • Statistics

1

3

3%

Total

34

120

100%

Best Maths Book For JEE Advanced 2025

While preparing for the JEE Advanced Maths paper, you often come across the question "Which is the best book for JEE Main Maths". The mathematics paper is generally considered the toughest among all of the subjects and includes comprehensive problems on particular topics. JEE Advanced preparation requires a lot of practice with relevant questions and a deep understanding of concepts. To get a deep understanding of the concepts, aspirants can refer to the best books for IIT JEE Mathematics. Preparing through the best book of JEE Advanced Maths will help in improving the concepts, scoring full marks, and ultimately fetching you a good rank. The best maths book for JEE advanced maths are given down below:

Name of the book and author

Book will be best for

Objective Mathematics by R D Sharma

Basics of every topic

Plane Trigonometry by S L Loney

Trigonometry

The Elements Of Coordinate Geometry by S L Loney

Coordinate Geometry

Algebra by Dr S K Goyal Arihant Publications

Algebra

Play with Graphs by Amit M Agarwal (Arihant Publications)

For solving problems

Differential Calculus by Amit M Agarwal (Arihant Publications)

Calculus

Integral Calculus by Amit M Agarwal (Arihant Publications)

Calculus

Complete mathematics for JEE Main TMH

For an explanation of topics

Why covering complete JEE advanced maths syllabus is Beneficial

As we all know that in JEE Advanced, Maths plays a key role. As given in above syllabus is divided into 7 units, each of which is assigned a weightage. The total weightage of the Maths syllabus is 30% and the chapters with the highest weightage are Calculus (35%), Algebra (30%), Coordinate Geometry (20%) and Vectors (15%).

JEE Advanced 2025 Maths Syllabus is available in PDF format for free on this website.This will give aspiring candidates a thorough overview of the topics and content they will need to prepare for their upcoming JEE Advanced 2025 examination.

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