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NCERT Solutions for Class 12 Maths -Chapter Wise with PDF

Last Updated : 12 Apr, 2024
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NCERT Solutions for Class 12 Maths provides a solid conceptual base for all the topics included in CBSE Class 12 Maths Syllabus for the 2024-25 session. NCERT Solutions covers all the important theorems and formulae with detailed explanations to promote a better conceptual understanding in students.

Our Maths solution can help students like you build a deeper understanding of concepts like Matrices & Determinants, Integrals, Differentials, trigonometric functions, inverse trigonometric, etc.

Class 12 Maths NCERT Solutions

NCERT Solutions for Class 12 Maths for year 2024-25 includes all the answers to problems found in the NCERT Class 12th textbook as per the latest CBSE syllabus. Students can now download the NCERT chapter-wise solution for class 12 Maths from the provided table. These NCERT solutions can be used as a reference by students if they get stuck when answering issues, or as a source to clarify topics. Maths experts meticulously create these NCERT solutions for Class 12 mathematics to guarantee that any student, regardless of intellect level, may easily comprehend the solutions.

NCERT Solutions for Class 12 Maths for Session 2024-25 in HINDI

NCERT Solutions for Class 12 Maths Chapter 1 – Relations and Functions

This section covers Class 12 Maths NCERT Solutions Chapter 1 Relations and Functions and discusses the introduction of relations and functions, types of relations, types of functions, the composition of functions and invertible functions, binary operations, and miscellaneous examples in Class 12 Maths. 

Maths Class 12 NCERT Solutions Chapter 1 Exercises

Exercise 1.1 Set 1, Set 2 – 10 Questions & Solutions

Exercise 1.2  – 12 Questions & Solutions

Exercise 1.3  – 10 Questions & Solutions

Exercise 1.4 Set 1, Set 2  – 14 Questions & Solutions

Miscellaneous Exercise Set1, Set 2 – 10 Questions & Solutions

NCERT Class 12 Solutions Maths Chapter 1 in Hindi – अध्याय 1 संबंध और कार्य

More resources for Class 12 Chapter 1 Relation and Functions

Class 12 NCERT Solutions Maths Chapter 2 – Inverse Trigonometric Functions

This NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions gives an account of various topics such as the remarks based on basic concepts of inverse trigonometric functions, properties of inverse trigonometric functions, and miscellaneous examples in Class 12 Maths.    

Maths Class 12 NCERT Solutions Chapter 2 Exercises

Exercise 2.1 – 17 Questions & Solutions

Exercise 2.2 Set 1, Set 2 – 15 Questions & Solutions

Miscellaneous Exercise Set 1, Set 2 – 10 Questions & Solutions 

NCERT Class 12 Solutions Maths Chapter 2 in Hindi – अध्याय 2 व्युत्क्रम त्रिकोणमितीय फलन

More resources for Class 12 Chapter 2 Inverse Trigonometric Functions

NCERT Solutions for Class 12 Maths Chapter 3 – Matrices

In this NCERT Solutions for Class 12 Maths Chapter 3 Matrices we shall see the definition of a matrix, types of matrices, equality of matrices, operations on matrices.

Including this you will explore topics likes matrices and multiplication of a matrix by a scalar, properties of matrix addition, properties of scalar multiplication, multiplication of matrices, properties of multiplication of matrices, transpose of a matrix, symmetric and skew-symmetric matrices, elementary operation or transformation of a matrix, the inverse of a matrix by elementary operations and miscellaneous examples in Class 12 Maths.

Maths Class 12 NCERT Solutions Chapter 3 Exercises

Exercise 3.1 – 10 Questions & Solutions

Exercise 3.2 Set 1, Set 2– 22 Questions & Solutions

Exercise 3.3 – 12 Questions & Solutions

Exercise 3.4 Set 1, Set 2 – 18 Questions & Solutions

Miscellaneous Exercise – 16 Questions & Solutions

NCERT Class 12 Solutions Maths Chapter 3 in Hindi – अध्याय 3 आव्यूह

More resources for Class 12 Chapter 3 Matrices

NCERT Solutions for Class 12 Maths Chapter 4 – Determinants

We are going to discusses in this Chapter 4 of 12 Class NCERT Maths Solution. Students will get to learn about the definition and meaning of determinants, remarks based on the order of determinants, properties of determinants, finding the area of a triangle using determinants, minors, and cofactors of determinants, adjoint of a matrix, the inverse of a matrix, applications of determinants, and matrices and miscellaneous examples in Class 12 Maths. 

Maths Class 12 NCERT Solutions Chapter 4 Exercises

Exercise 4.1 – 10 Questions & Solutions

Exercise 4.2 Set 1, Set 2 – 10 Questions & Solutions

Exercise 4.3 – 10 Questions & Solutions

Exercise 4.4 – 10 Questions & Solutions

Exercise 4.5 – 10 Questions & Solutions

Exercise 4.6 Set 1, Set 2– 10 Questions & Solutions

Miscellaneous Exercise – 16 Questions & Solutions

NCERT Class 12 Solutions Maths Chapter 4 in Hindi – अध्याय 4 निर्धारक

More resources for Class 12 Chapter 4 Determinants

Class 12 NCERT Solutions Maths Chapter 5 – Continuity and Differentiability

In NCERT Class 12 Solutions Maths Chapter 5 Continuity and Differentiability, students are going to learn about continuity, the algebra of continuous functions, the definition, and meaning of differentiability, derivatives of composite functions, derivative of implicit functions, the derivative of inverse trigonometric functions, exponential and logarithmic functions, logarithmic differentiation, derivatives of functions in parametric forms, second-order derivatives, mean value theorem via various examples in Class 12 Maths. 

Maths Class 12 NCERT Solutions Chapter 5 Exercises

Exercise 5.1 Set 1, Set 2– 17 Questions & Solutions

Exercise 5.2 – 10 Questions & Solutions

Exercise 5.3 – 15 Questions & Solutions

Exercise 5.4 – 10 Questions & Solutions

Exercise 5.5 Set 1, Set 2– 18 Questions & Solutions

Exercise 5.6 – 11 Questions & Solutions

Exercise 5.7 – 17 Questions & Solutions

Exercise 5.8 – 6 Questions & Solutions

Miscellaneous Exercise – 31 Questions & Solutions

NCERT Class 12 Solutions Maths Chapter 5 in Hindi – अध्याय 5 निरंतरता और भिन्नता

More resources for Class 12 Chapter 5 Continuity and Differentiability

12 Class NCERT Solutions Maths Chapter 6 – Applications of Derivatives

In this section of NCERT Class 12 Maths Solutions Chapter 6 Applications of Derivatives, we are going to see the rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, maxima and minima, first derivative test, maximum and minimum values of a function in a closed interval, and miscellaneous examples in Class 12 Maths. 

Maths Class 12 NCERT Solutions Chapter 6 Exercises

Exercise 6.1 – 18 Questions & Solutions

Exercise 6.2 Set 1, Set 219 Questions & Solutions

Exercise 6.3 Set 1, Set 2  27 Questions & Solutions

Exercise 6.4 9 Questions & Solutions

Exercise 6.5 Set 1, Set 229 Questions & Solutions

Miscellaneous Exercise Set 1, Set 2– 24 Questions & Solutions

NCERT Class 12 Solutions Maths Chapter 6 in Hindi – अध्याय 6 अवकलजों का अनुप्रयोग

More resources for Class 12 Chapter 6 Application of Derivatives

Class 12 NCERT Solutions Maths Chapter 7 – Integrals

In Chapter 7 of NCERT Class 12 Maths, Integrals help understand areas under curves, volumes of shapes, and lengths of curves through methods like substitution and integration by parts. Resources you can access for Class 12 Chapter 7 Integrals:

Maths NCERT Solutions Class 12 Chapter 8 – Applications of Integrals

In Chapter 8 of NCERT Class 12 Maths, Applications of Integrals explore areas, volumes, and lengths in real-world scenarios using integration techniques like definite integrals and geometric interpretations.

Resources you can access for Class 12 Chapter 8 Applications of Integrals:

Class 12 NCERT Solutions Maths Chapter 9 – Differential Equations

Chapter 9 of NCERT Class 12 Maths, Differential Equations, helps solve real-life problems involving rates of change using mathematical equations.

Resources you can access for Class 12 Chapter 9 Differential Equations:

NCERT Class 12 Maths Solutions Chapter 10 – Vector Algebra

Class 12 Maths NCERT Solutions Chapter 10 deals with the basics of vector algebra, covering dot products, cross products, finding angles, and section formulas for real-world uses.

Resources available:

Maths NCERT Solutions Class 12 Chapter 11 – Three dimensional Geometry

In Chapter 11 of NCERT Class 12 Maths, Three-dimensional Geometry explores points, lines, and planes in space.

Resources available:

Class 12 NCERT Solutions Maths Chapter 12 – Linear Programming

In Chapter 12 of NCERT Class 12 Maths, Linear Programming helps optimize outcomes in real-life situations with limited resources.

Resources available:

Maths NCERT Solutions Class 12 Chapter 13 – Probability

In Chapter 13 of NCERT Class 12 Maths Solutions, Probability analyzes the likelihood of events occurring in real-life situations. Access resources to understand concepts like sample space, events, probability distributions, and techniques for calculating probabilities effectively.

Resources available:

CBSE Class 12 Maths Topic-Wise Weightage 2024-25

The table given shows the unit-wise marks weightage. The Maths theory paper is divided into two parts , one for internal assessment 20 marks and main paper of 80 marks bringing the total marks to 100.

UNIT

CHAPTER

MARKS

UNIT I

Chapter 1 – Relations and Functions

Chapter 2 – Inverse Trigonometric Functions

08

UNIT II

Chapter 3 – Matrices

Chapter 4 – Determinants

10

UNIT III

Chapter 5 – Continuity and Differentiability

Chapter 6 – Applications of Derivatives

Chapter 7 – Integrals

Chapter 8 – Applications of Integrals

Chapter 9 – Differential Equations

35

UNIT IV

Chapter 10 – Vector Algebra

Chapter 11 – Three dimensional Geometry

14

UNIT V

Chapter 12 – Linear Programming

05

UNIT VI

Chapter 13 – Probability

08

Essential Resources for CBSE Class 12 Maths NCERT Solutions for Session 2024-25

NCERT Solutions for Class 12 Maths – FAQ’s

Which book is best for Class 12 Boards’ preparation for Maths?

The NCERT textbook, which is recommended by CBSE, is the best book for not only Class 12 Mathematics but any class. Practice NCERT maths book examples and exercise questions to develop the conceptual foundation needed to tackle HOTs (High Order Thinking Problems). 

How many chapters are there in NCERT Solutions for Class 12 Maths?

The NCERT textbook for Class 12 Maths is divided into two parts. Part 1 includes chapters 1 to 6, while Part 2 comprises chapters 7 to 13. The chapters cover a range of topics, including Matrices, Inverse Trigonometric Functions, Relations and Functions, Determinants, Applications of Derivatives, Continuity and Differentiability, Applications of Integrals, Vector Algebra, Differential Equations, Three Dimensional Geometry, Probability, and Linear Programming.

Is Class 12 Maths difficult?

The opinion of a subject’s difficulty or easiness is entirely subjective. Math phobia has been imprinted in the minds of some students since childhood. But we’d like to clarify something. Class 12 NCERT Maths is not challenging. 

Which website has best NCERT solutions?

Numerous websites offer NCERT solutions for Class 12, but www.geeksforgeeks.org stands out by providing a robust conceptual foundation for all topics in the CBSE Class 12 Maths Syllabus. These solutions comprehensively cover essential theorems and formulae, offering detailed explanations to facilitate clear understanding. The website presents step-by-step explanations for problems found in the NCERT textbooks, making it an excellent study resource for students preparing for their Class 12 board exams. Additionally, students can access unlimited solution PDFs for free, further enhancing their learning experience.



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