Answers (4)
Piyush 22nd Dec, 2021

Hello aspirant,

I hope that you are doing absolutely great.

With reference to your above mentioned query, I would like to share with you with the syllabus of maths in jee mains 2022 along with the chapters carrying equivalent marks in paper :

Coordinate Geometry - 20 marks

Limits, Continuity and Differentiability - 12

Integral Calculus - 12

Complex numbers and Quadratic Equation - 8

Matrices and Determinants - 8

Statistics and Probability - 8

Three Dimensional Geometry - 8

Vector Algebra - 8

Sets, Relation and Function - 4

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Permutations and Combinations - 4

Binomial Theorem and Its Application - 4

Sequences and Series - 4

Trigonometry - 4

Mathematical Reasoning - 4

Differential Equation - 4

Statics and Dynamics - 4

Differential Calculus - 4

Further, for more information about the syllabus and chapter wise weightage in each subjects, you can follow the below link :

https://engineering.careers360.com/articles/jee-main-syllabus-weightage

I hope that this will help.

OWKURU MAHESWARI 22nd Dec, 2021

Dear aspirant,

These are the mathematics syllabus for JEE:

1. Probability

2. Mathematical reasoning

3. Statistics

4. Algebra

5. Binomial theorem

6. Quadratic equation

7. Complex numbers

8. Trigonometry

9. Calculus

10. Matrices and determinants

11. Sequence and series

12. Permutations and combinations

13. Cordonate geometry

Hope this is helpful to you,

Thank you.


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Padmaja 22nd Dec, 2021

hello,

here is the Maths Syllabus for JEE Mains

  1. Sets, Relations, and Functions

  • Sets and how they're represented.

  • The algebraic characteristics of the union, intersection, and complement of sets.

  • Powerset.

  • Relationships, types of relationships, and equivalency relationships are all terms that can be used to describe a relationship.

  • Functions; one-to-one, into, and onto functions; function composition.

  1. Complex Numbers and Quadratic Equations

  • Ordered pairs of real numbers are used to represent complex numbers.

  • The Argand diagram is a depiction of complex numbers of the form (a+ib) and their representation in a plane.

  • Complex number algebra, modulus and argument (or amplitude) of a complex number, complex number square root

  • Inequality in a triangle

  • Quadratic equations and their solutions in real and complex number systems.

  • The nature of roots, the construction of quadratic equations with given roots, and the relationship between roots and coefficients.

  1. Matrices and Determinants

  • Matrices: matrices' algebra, matrices' kinds, and matrices of order two and three.

  • Determinants: Their properties, their assessment, and the area of triangles using determinants.

  • Using determinants and simple transformations, join and evaluate the inverse of a square matrix.

  • Using determinants and matrices, check for consistency and solve simultaneous linear equations in two or three variables.

  1. Permutations and Combinations

  • Counting's core premise.

  • A permutation is a type of arrangement, while a combination is a type of selection.

  • P (n,r) and C have different meanings (n,r). Applications that are simple.

  1. Mathematical Induction

  • The mathematical induction principle and its straightforward implementations.

  1. Binomial Theorem

  • For a positive integral index, the binomial theorem applies.

  • There are two types of terms: general and intermediate.

  • Binomial coefficients and their properties, as well as some basic applications.

  1. Sequence and Series

  • Arithmetic and geometric progressions, arithmetic insertion

  • Geometric refers to the relationship between two numbers.

  • A.M.'s and G.M.'s relationship

  • Add up to n special series terms: Sn, Sn2, and Sn3

  • Geometric progression based on arithmetic.

  1. Limit, Continuity, and Differentiability

  • Real-valued functions, function algebra, polynomials, rational, trigonometric, logarithmic, and exponential functions, and inverse functions are all examples of real-valued functions.

  • Simple function graphs.

  • Limits, consistency, and differentiability are all important factors to consider.

  • Differentiation of two functions' sum, difference, product, and quotient.

  • Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite, and implicit functions, as well as derivatives of up to two orders.

  • The Mean Value Theorems of Rolle and Lagrange.

  • Derivatives' applications include Quantity change rates, monotonic growing, and decreasing functions, and so forth. Maxima and minima of one-variable functions, tangents, and normals.

  1. Integral Calculus

  • As an antiderivative, integral.

  • Algebraic, trigonometric, exponential, and logarithmic functions are all used in fundamental integrals.

  • Substitution, parts, and partial fractions are all methods of integration.

  • Using trigonometric identities for integration.

  • As a limit of a sum, an integral is used.

  • Calculus's Fundamental Theorem.

  • Defining the areas of the regions circumscribed by simple curves in standard form, defining the properties of definite integrals, and evaluating definite integrals

  1. Differential Equations

  • Order and degree of ordinary differential equations.

  • Differential equations are created.

  • The method of separation of variables is used to solve differential equations.

  1. Coordinate Geometry

  • Distance formula, section formula, locus, and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes are all topics covered in the Cartesian system of rectangular coordinates in a plane.

  • Straight lines: Different types of line equations, line intersections, angles between two lines, and conditions for three lines to coincide.

  • Internal and external bisectors of angles between two lines, centroid, orthocentre, and circumcentre coordinates of a triangle, equation of the family of lines passing through the point of two lines.

  • Conic sections, circles: standard form of the equation of a circle, the general form of the equation of a circle, 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 origin and condition for a line to be tangent to a circle, equation of the tangent

  • Conic sections, equations in typical forms of conic sections (parabola, ellipse, and hyperbola), condition for y = mx + c to be a tangent, and tangency point (s).

  1. 3D Geometry

  • The distance between two points is measured by the coordinates of a point in space.

  • The angle between two crossing lines is calculated using the section formula, direction ratios, and direction cosines.

  • Skew lines, their equation, and the shortest distance between them.

  • Different types of equations for a line and a plane, intersection of a line and a plane, and coplanar lines.

  1. Vector Algebra

  • Scalars and vectors are two types of data. Vector addition, subtraction, multiplication, and division.

  • Vector components in 2D and 3D space.

  • Triple product with scalar and vector products.

  1. Statistics and Probability

  • Dispersion Measures: Calculation of ungrouped and grouped data mean, mode, median, variance, standard deviation, and mean deviation.

  • Probability: Multiplication theorems, addition theorems, Bayes theorem, Bernoulli trials, Binomial distribution, and probability distribution are all terms used to describe the likelihood of events.

  1. Trigonometry

  • Trigonometry and trigonometric equations are the same.

  • Trigonometry's Functions

  • Inverse trigonometric functions have certain properties.

  • Issues with heights and distances

  1. Mathematical Reasoning

  • Logical operations and statements

  • Contradiction, tautology, contrapositive, and converse understanding

Preetam Bhowmik 22nd Dec, 2021

Dear Aspirant, the Mathematics syllabus for JEE from class 11 is :-

  • Sets, Relations, and Functions.
  • Complex Numbers and Quadratic Numbers.
  • Matrices and Determinants.
  • Permutations and Combinations.
  • Mathematical Induction.
  • Binomial Theorem and its simple applications.
  • Sequences and Series.
  • Limits, Continuity, and Differentiability.
  • Integral Calculus.
  • Differential Calculus.
  • Coordinate Geometry.
  • Three Dimensional Geometry.
  • Vector Algebra.
  • Statistics Probability.
  • Trigonometry.
  • Mathematical Reasoning.

I hope you are clear now. If you have any other queries feel free to ask. All The Best!!!

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