Haryana Board HBSE Class 12 Maths Syllabus 2024-25: Download Detailed Syllabus PDF For Free!

HBSE Class 12 Mathematics Syllabus 2024-25 Free PDF Download: Most students might be looking for the complete syllabus to prepare for the test and give their best. Knowing the complete syllabus before preparing for the exam is very important. So, here we are providing the full HBSE Class 12 Mathematics 2024-25 syllabus. You can also download the PDF for free.

The very first thing students can take a look at is the general instructions for the exam. 

General Instructions For The Exam

• There will be an Annual Examination based on the entire syllabus. 
• The Annual Examination will be of 80 marks and 20 marks weightage will be for Internal Assessment. 
• For Internal Assessment: There will be a Periodic Assessment that will include: 

i) For 04 marks- Two SAT exams will be conducted and will have a weightage of 04 marks towards the final Internal Assessment. 

ii) For 02 marks- One half-yearly exam will be conducted and will have a weightage of 02 marks towards the final Internal Assessment.

For 02 marks- One pre-board will be conducted and will have a weightage of 02 marks towards the final Internal Assessment. 

iv) For 02 marks- The subject teacher will assess and give a maximum of 02 marks for CRP (Classroom participation). 

v) For 05 marks- A project work to be done by students and will have a weightage of 05 marks towards the final Internal Assessment. 

vi) For 05 marks- Attendance of student will be awarded 05 marks as: Above 75% up to 80% - 01 marks 

Above 80% up to 85% - 02 marks 

Above 85% up to 90% - 03 marks 

Above 90% up to 95% - 04 marks

Above 95% - 05 marks

Haryana Board HBSE Class 12 Maths Syllabus 2024-25

Class: 12th 

Subject: Mathematics 

Code: 835

Total Chapters For The Exam

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, of, Invertible Function definition

Miscellaneous Exercise

Chapter 2: Inverse Trigonometric Functions

2.1 Introduction

2.2 Basic Concepts: Domain, Range, Graphs, and Principal Value of 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

3.5 Transpose of a Matrix: Properties of the 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

4.4 Minors and Cofactors

4.5 Adjoint and Inverse of a Matrix

4.6 Applications of Determinants and Matrices: Solution of a system of linear equations using the 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 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 Simple Curves 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

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, the Distance between two parallel lines

Miscellaneous Exercise

Chapter 12: Linear Programming

12.1 Introduction

12.2 Linear Programming Problem and its Mathematical Formation: Mathematical Formulation of the Problem, Graphical Method of solving Linear Programming Problems

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

Prescribed Books:

1. Textbook for class 12th : Mathematics Part-1 , NCERT- Latest Edition

  Mathematics Part-2, NCERT- Latest Edition

2. Exemplar Problems: Mathematics - Class XII (NCERT)

HBSE Class 12 Mathematics Exam Weightage And Marks

HBSE Class 12 Maths Exam Question Typology

This is the syllabus and the question paper design for HBSE Class 12 Mathematics. The students can start preparing for the exams to score well. Check the full syllabus link below that can be downloaded for free. 

HBSE Class 12 Mathematics Syllabus 2024-25 Free PDF Download

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