Haryana Board 12th Board Maths Syllabus 2025-26: Check Detailed PDF Below

Haryana Board of School Education

Prateek Tomar
Prateek Tomar

The Haryana Board has published the 12th Class Maths Syllabus. See the most recent Haryana Board Class 12 Maths curriculum and download the Haryana Board syllabus for the 12th Class. For the purpose of studying and doing their best on the test, the majority of students may be searching for the entire syllabus. Exam preparation requires familiarity with the entire material. The complete HBSE Class 12 Mathematics 2025–2026 syllabus is therefore available here. The PDF can be downloaded for free as well.

DownloadHBSE Class 12 Maths Syllabus 2025-26 here

Haryana Board Class 12 Maths Syllabus: Course Structure 2025-26

Below given is detailed course structure:

Sr. No.

Chapter

Marks

1.

Chapter 1: Relations and Functions

Chapter 2: Inverse Trigonometric Functions

8

2.

Chapter 3: Matrices

Chapter 4: Determinants

13

3.

Chapter 5: Continuity and Differentiability

Chapter 6: Application of Derivatives

14

4.

Chapter 7: Integrals

Chapter 8: Application of Integrals

Chapter 9: Differential Equations

19

5.

Chapter -10 : Vector Algebra

Chapter 11: Three Dimensional Geometry

12

6.

Chapter 12: Linear Programming

5

7.

Chapter 13: Probability

9

Total

80

Internal Assessment

20

Grand Total

100

Haryana Board Class 12 Maths Syllabus 2025-26

Below given is detailed syllabus:

Chapter 1: Relations and Functions

1.1: Introduction

1.2 Types of Relations: Empty Relation, Universal Relation, Reflexive Relation, Symmetric Relation, Transitive Relation, Equivalence Relation

1.3 Types of Functions: Injective Function, Surjective Function, Bijective Function

1.4: Composition of Functions and Invertible Function: fog , gof , Invertible Function definition

Miscellaneous Exercise

Chapter 2: Inverse Trigonometric Functions

2.1 Introduction

2.2 Basic Concepts: Domain, Range ,Graphs and Principal value branches of Inverse Trigonometric Functions

2.3 Properties of Inverse Trigonometric Functions: Related to sin(sin1x) = x, x € [-1,1] and sin-1 (sin x) = x , x € [-π/2,π/2] ,Conversion of some trigonometric functions in their simplest forms using trigonometric properties

Miscellaneous Exercise

Chapter 3: Matrices

3.1 Introduction

3.2 Matrix: Definition and Order of a matrix.

3.3 Types of Matrices : Column Matrix ,Row Matrix , Square Matrix ,Diagonal Matrix , Scalar Matrix , Identity Matrix ,Zero Matrix

3.3.1 Equality of Matrices

3.4 Operations on Matrices : Addition of matrices, Multiplication of a matrix by a scalar, Properties of matrix addition ,Properties of scalar multiplication of a matrix , Multiplication of matrices ,Properties of multiplication of matrices 17

3.5 Transpose of a Matrix : Properties of transpose of the matrices

3.6 Symmetric and Skew Symmetric Matrices

3.7 Invertible Matrices : Definition of invertible matrix , Uniqueness of Inverse (Theorem and its applications)

Miscellaneous Exercise

Chapter 4: Determinants

4.1 Introduction

4.2 Determinant: Determinants of matrices of order one, two and three

4.3 Area of a Triangle ( using determinants)

4.4 Minors and Cofactors (of matrices of orders 1,2 and 3)

4.5 Adjoint and Inverse of a Matrix (of orders 1,2 and 3)

4.6 Applications of Determinants and Matrices: Solution of system of linear equations using inverse of a matrix

Miscellaneous Exercise

Chapter 5: Continuity and Differentiability

5.1 Introduction

5.2 Continuity: Definition of continuity , Algebra of continuous functions

5.3 Differentiability: Derivatives of composite functions , Chain Rule, Derivatives of implicit functions, Derivatives of inverse trigonometric functions

5.4 Derivatives of Exponential and Logarithmic Functions

5.5 Logarithmic Differentiation

5.6 Derivatives of Functions in Parametric Forms

5.7 Second Order Derivative

Miscellaneous Exercise

Chapter 6: Application of Derivatives

6.1 Introduction

6.2 Rate of change of Quantities

6.3 Increasing and Decreasing Functions

6.4 Maxima and Minima : Local Maxima , Local Minima , First Derivative Test, Second Derivative Test , Maximum and Minimum Values of a Function in a closed Interval ,Absolute Maximum, Absolute Minimum

Miscellaneous Exercise

Chapter 7: Integrals

7.1 Introduction

7.2 Integration as an Inverse Process of Differentiation : Some properties of indefinite integral

7.3 Methods of Integration : Integration by Substitution , Integration using Trigonometric Identities

7.4 Integrals of Some Particular Functions

7.5 Integration by Partial Fractions

7.6 Integration by Parts: Integral of the type ∫ ex [ f (x)+f1 (x) ] dx , Integrals of some more types 7.7 Definite Integral

7.8 Fundamental Theorem of Calculus : Area function and related numerical problems

7.9 Evaluation of Definite Integrals by Substitution

7.10 Some properties of Definite Integrals and Related Problems

Miscellaneous Exercise

Chapter 8: Application of Integrals

8.1 Introduction

8.2 Area under one Simple Curve Using Definite Integrals Miscellaneous Exercise

Chapter 9: Differential Equations

9.1 Introduction

9.2 Basic Concepts :Order and Degree of a Differential Equation

9.3 General and Particular Solutions of a Differential Equation

9.4 Methods of Solving First Order ,First Degree Differential Equations: Differential Equations with variables separable, Homogeneous Differential Equations , Linear Differential Equations Miscellaneous Exercise

Chapter 10: Vector Algebra

10.1 Introduction

10.2 Some Basic Concepts : Definition of Vector ,Position Vector , Direction Cosines

10.3 Types of Vectors : Zero Vector, Unit Vector , Coinitial Vector , Collinear Vector , Equal Vectors ,Negative of a Vector

10.4 Addition of Vectors

10.5 Multiplication of a vector by a Scalar : Components of a Vector , Vector joining Two Points , Section Formula

10.6 Product of Two Vectors : Scalar (or dot) Product of Two Vectors , Projection of a Vector on a line ,Vector ( or cross ) product of Two Vectors

Miscellaneous Exercise

Chapter 11: Three Dimensional Geometry

11.1 Introduction 20

11.2 Direction Cosines and Direction Ratios of a Line : Direction cosines of a line passing through two points

11.3 Equation of a Line in Space : Equation of a Line through a given point and parallel to a given vector

11.4 Angle between two Lines

11.5 Shortest Distance between Two Lines : Distance between two skew lines, Distance between two parallel lines

Miscellaneous Exercise

Chapter 12: Linear Programming

12.1 Introduction

12.2 Linear Programming Problem: Graphical Method of solving Linear Programming Problems ( with given objective function and constraints)

Miscellaneous Exercise

Chapter 13: Probability

13.1 Introduction

13.2 Condition Probability : Properties of conditional probability

13.3 Multiplication Theorem on Probability

13.4 Independent Events

13.5 Bayes’ Theorem and Related Problems:Partition of a sample space, Theorem of total probability

Miscellaneous Exercise

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