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Every Class 12 Board student understands the immense importance of the Class 12 Maths NCERT Solutions. It is well known that CBSE and other state boards prepare CBSE question papers primarily based on the NCERT Textbooks. If you are searching for complete NCERT Solutions, your search ends here. We at Shiksha provide the best Class 12th Math Solutions for Mathematics. Shiksha's NCERT solutions help students get solutions to all the questions with a strong conceptual understanding.
Why should you refer to Shiksha for Class 12 Math Solutions? Well, Shiksha offers error-free and well-structured solutions with a free downloadable PDF for offline study. You can use CBSE 12th Maths Chapter-wise Answers for multiple purposes. Shiksha also offers NCERT Notes for CBSE classes 11 and 12 for all subjects. Students can practice, make notes, resolve doubts, and revise effectively. Class 12 Maths includes several important topics, notably some topics such as Calculus, Matrices & Determinants, and Probability have significant weightage in Class 12 CBSE Board exams. You can cover these topics in detail through our Maths Class 12 Notes.
| Important Related Links |
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|---|---|
- NCERT Solutions For Chapter-wise Maths Class 12
- Class 12 Math NCERT solution: Chapters, Key Topics & More
- Class 12 Math NCERT Solution: Unit-Wise Weightage
NCERT Solutions For Chapter-wise Maths Class 12
To get access to the chapter-wise NCERT solutions of Class 12 Mathematics, students can check below the links:
Class 12 NCERT Solutions for Mathematics are significant for CBSE Boards as well as Competitive Exams like JEE Main, MHT CET, and others. Shiksha’s 12th Maths NCERT Book Solutions are aligned with the latest CBSE 2026 syllabus. We offer accurate, to-the-point, and step-by-step explained solutions in a similar format to that provided in NCERT Textbooks. These Solutions include every exercise, question and formula, and concept required to get a good score in CBSE Board Exams.
Students appearing in competitive exams should refer to CBSE Class 12 NCERT Notes. These notes will help solve the Class 12 NCERT Maths, along with the NCERT Class 11 Maths Solutions, for better performance.
Class 12 Math NCERT solution: Chapters, Key Topics & More
Students can check weightage, topics covered and related information for all chapters in class 12th mathematics below:
Class 12 Maths Chapter 1 Relations and Functions
This chapter lays the foundation for the whole algebra unit, along with calculus. Chapter 1 of Class 1 Maths deals with Relations and Functions, their definition, domain, range, and other properties important for board exams. The Relations and Functions have a weightage of around 8-10 marks in the CBSE 12th Boards. All these topics are covered in the NCERT Relations and Functions Solutions, Check below the topics covered in this chapter:
| Exercise | Topics Covered |
|---|---|
| 1.1 | Introduction |
| 1.2 | Types of Relations |
| 1.3 | Types of Functions |
| 1.4 | Composition of Functions and Invertible Function |
Class 12 Maths Chapter 2 Inverse Trigonometric Functions
Inverse Trigonometric Functions carry around 6 marks in the class 12 Board Exams. Inverse trigonometric functions applications are important for other mathematics chapters, such as Calculus, Matrices, and others. Class 12 Math Chapter 2 focuses on the fundamental concepts of inverse trigonometric functions, their properties, domains, ranges, and principal values. This chapter also covers important identities of inverse trigonometric functions and their behavior through graphical representations. That's why Inverse Trigonometric Functions NCERT Solutions are also important for aspirants preparing for competitive exams like JEE, NDA.
Chapter 2 Inverse Trigonometric Functions Topics
| Exercise | Topics Covered |
|---|---|
| 2.1 | Introduction |
| 2.2 | Basic Concepts |
| 2.3 | Properties of Inverse Trigonometric Functions |
Class 12 Maths Chapter 3 Matrices
Chapter 3 Matrices is a very important topic as per its weightage in CBSE boards around 4-6 marks. Fundamental concepts of Matrices form the basis for various advanced concepts in algebra and calculus. Chapter 3 Matrices covers the definition and types of matrices, algebraic operations such as addition, subtraction, and multiplication, as well as key properties of matrix operations. Class 12 Matrices Solutions also discuss the transpose, determinant, and inverse of a matrix, along with elementary transformations. A matrix can be defined as an ordered rectangular array of numbers or functions. Matrices and Determinant combined are also significant for competitive exam such as JEE, NDA and others. See below the topics covered in this chapter:
| Exercise | Topics Covered |
|---|---|
| 3.1 | Introduction |
| 3.2 | Matrix |
| 3.3 | Types of Matrices |
| 3.4 | Operations on Matrices |
| 3.5 | Transpose of a Matrix |
| 3.6 | Symmetric and Skew-Symmetric Matrices |
| 3.7 | Invertible Matrices |
Class 12 Mathematics NCERT Solutions Chapter 4 - Determinants
A determinant is a scalar value that can be calculated from the elements of a square matrix. Students can use the NCERT Solutions for Determinants to understand the exercises thoroughly. They are advised to practice the NCERT Solutions Maths Class 12 to improve their speed of solving problems. We have provided the accurate solutions to all the exercises in this chapter. Find below the topics covered in the Determinants Chapter 4 Maths:
| Exercise | Topics Covered |
|---|---|
| 4.1 | Introduction |
| 4.2 | Determinant |
| 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 |
Class 12 Maths NCERT solutions Chapter 5 - Continuity and Differentiability
In this chapter students will learn the important concepts of continuity, differentiability, relations between them, differentiation of inverse trigonometric functions, and exponential and logarithmic functions. The NCERT Solutions for Continuity and Differentiability of Class 12 Maths have been prepared as per the latest update on latest CBSE 2025 Syllabus. See below the topics covered in this chapter:
| Exercise | Topics Covered |
|---|---|
| 5.1 | Introduction |
| 5.2 | Continuity |
| 5.3 | Differentiability |
| 5.4 | Exponential and Logarithmic Functions |
| 5.5 | Logarithmic Differentiation |
| 5.6 | Derivatives of Functions in Parametric Forms |
| 5.7 | Second Order Derivative |
Class 12 Maths NCERT solutions Chapter 6 - Application of Derivatives
Application of derivatives explains how the derivative can be used to find rate of change of quantities, finding the equations of tangent and normal to a curve at a point, to find turning points on the graph of a function which in turn will help us to locate points at which largest or smallest value (locally) of a function occurs. NCERT Solutions For Chapter 6 Application of Derivatives also discusses how to find intervals on which a function is increasing or decreasing and how to determine the approximate value of certain quantities. These are the topics covered in Chapter 6:
| Exercise | Topics Covered |
|---|---|
| 6.1 | Introduction |
| 6.2 | Rate of Change of Quantities |
| 6.3 | Increasing and Decreasing Functions |
| 6.4 | Maxima and Minima |
Class 12 Maths NCERT solutions Chapter 7 - Integrals
Chapter 7 Integrals, explains some indefinite and definite integrals and their elementary properties, including some techniques of integration. Integration is the calculation of an integral. There are so many formulas in this chapter that students have to learn thoroughly. Integration is a process that is the inverse of differentiation. Students should understand the basics of integrals and learn them thoroughly. Class 12 Integrals NCERT solutions will help students to understand the chapter.
The following are the topics covered in the Integrals Chapter 7 Class 12 Maths:
| Exercise | Topics Covered |
|---|---|
| 7.1 | Introduction |
| 7.2 | Integration as an Inverse Process of Differentiation |
| 7.3 | Methods of Integration |
| 7.4 | Integrals of Some Particular Functions |
| 7.5 | Integration by Partial Fractions |
| 7.6 | Integration by Parts |
| 7.7 | Definite Integral |
| 7.8 | Fundamental Theorem of Calculus |
| 7.9 | Evaluation of Definite Integrals by Substitution |
| 7.10 | Some Properties of Definite Integrals |
Class 12 Maths NCERT solutions Chapter 8 - Application of Integrals
Application of Integrals explains how to determine the area under simple curves, the area between lines and arcs of circles, parabolas and ellipses (standard forms), and the area bounded by the curves. This is a chapter of great importance for the Class 12 board exam. Students can expect 2-3 questions from this chapter for entrance exams too. We have provided detailed solutions to this chapter for free. See below the topics covered in this chapter:
| Exercise | Topics Covered |
|---|---|
| 8.1 | Introduction |
| 8.2 | Area under Simple Curves |
Class 12 Maths NCERT solutions Chapter 9 - Differential Equations
An equation having derivatives of the dependent variable concerning the independent variables (variables) is known as a differential equation. In the chapter Differential Equations, students will learn some basic concepts related to differential equations, formation of differential equations, general and particular solutions of a differential equation, methods to solve a first-order - first-degree differential equation, and some applications of differential equations in different areas. NCERT Differential Equations Solutions includes five exercises and one miscellaneous exercise in this chapter. See below the topics covered in this chapter:
| Exercise | Topics Covered |
|---|---|
| 9.1 | Introduction |
| 9.2 | Basic Concepts |
| 9.3 | General and Particular Solutions of a Differential Equation |
| 9.4 | Methods of Solving First Order, First Degree Differential Equations |
Class 12 Maths NCERT solutions Chapter 10 - Vectors Algebra
In this chapter, students will learn some of the basic concepts about vectors, various operations on vectors, and their algebraic and geometric properties. Vector algebra and 3D geometry have a weightage of 14 marks in the Class 12 board exam. This chapter has four exercises and one miscellaneous exercise. These NCERT Solutions for Vector Algebra Students have to learn this chapter thoroughly to score high marks in board exams and entrance exams. These are the topics covered in the Vectors Algebra Class 12 Maths:
| Exercise | Topics Covered |
|---|---|
| 10.1 | Introduction |
| 10.2 | Some Basic Concepts |
| 10.3 | Types of Vectors |
| 10.4 | Addition of Vectors |
| 10.5 | Multiplication of a Vector by a Scalar |
| 10.6 | Product of Two Vectors |
Class 12 Mathematics NCERT solutions Chapter 11 - Three-Dimensional Geometry
In 3D Geometry, students will learn the direction cosines and direction ratios of a line joining two points, equations of lines and planes in space under different conditions, angle between two lines, two planes, a line and a plane, shortest distance between two skew lines and distance of a point from a plane. These NCERT Solutions for Chapter 11 3D Geometry include two exercises and one miscellaneous exercise in this chapter. We provide complete solutions of Three Dimensional Geometry which are prepared by experts. Here are the topics covered in the Three-Dimensional Geometry Class 12 Chapter 11 Mathematics:
| Exercise | Topics Covered |
|---|---|
| 11.1 | Introduction |
| 11.2 | Direction Cosines and Direction Ratios of a Line |
| 11.3 | Equation of a Line in Space |
| 11.4 | Angle between Two Lines |
| 11.5 | Shortest Distance between Two Lines |
Class 12 Mathematics NCERT solutions Chapter 12 - Linear Programming
In this chapter, students will learn some linear programming problems and their solutions by the graphical method only. Linear programming has a weightage of 5 marks for the Class 12 board exam. We provide accurate solutions to this chapter in a detailed manner, which are prepared by expert teachers. Students can refer to Linear Programming Class 12 Solutions of NCERT exercises to ensure getting 5 marks for this chapter in the exam. See below the topics covered in Linear Programming Class 12 Chapter 12 Mathematics:
| Exercise | Topics Covered |
|---|---|
| 12.1 | Introduction |
| 12.2 | Linear Programming Problem and its Mathematical Formulation |
Class 12 Mathematics NCERT solutions Chapter 13 - Probability
Probability can be defined as the likelihood of an event occurring. Probability is an important chapter that has a weightage of 8 marks for the Class 12 board exam. In chapter Probability, students will learn the important concept of conditional probability of an event given that another event has occurred, which will be helpful in understanding the Bayes' theorem, multiplication rule of probability and independence of events. This chapter also covers the concept of a random variable and its probability distribution, mean and variance of a probability distribution and the Binomial distribution. Probability class 12 NCERT solutions covers the following topics:
| Exercise | Topics Covered |
|---|---|
| 13.1 | Introduction |
| 13.2 | Conditional Probability |
| 13.3 | Multiplication Theorem on Probability |
| 13.4 | Independent Events |
| 13.5 | Bayes' Theorem |
Class 12 Math NCERT Solution: Unit-Wise Weightage
Students must know the weightage of individual chapters of class 12 Maths in JEE Main exam. Students can prioritize the revision and learning of concepts as per the chapters' weightage out of 80 marks, and the rest 20 marks are provided through the internal assessment. Students can check the weightage below for each chapter and topic in the JEE Main exam:
| Chapters |
Total Questions |
Weightage |
|---|---|---|
| Sequences & Series |
2 |
6.6% |
| Straight Lines |
2 |
6.6% |
| 3-D Geometry |
2 |
6.6% |
| Determinants |
2 |
6.6% |
| 1 |
3.3% |
|
| Permutations & Combinations |
1 |
3.3% |
| Probability |
1 |
3.3% |
| Complex Numbers |
1 |
3.3% |
| 1 |
3.3% |
|
| Limits |
1 |
3.3% |
| Differentiability |
1 |
3.3% |
| Indefinite Integration |
1 |
3.3% |
| Definite Integration |
1 |
3.3% |
| Differential Equations |
1 |
3.3% |
| Height & Distance |
1 |
3.3% |
| Trigonometric Equations |
1 |
3.3% |
| The Area under the Curve |
1 |
3.3% |
| Quadratic Equations |
1 |
3.3% |
| Vectors |
1 |
3.3% |
| Tangents and Normals |
1 |
3.3% |
| Maxima and Minima |
1 |
3.3% |
| Statistics |
1 |
3.3% |
| Parabola |
1 |
3.3% |
| Ellipse |
1 |
3.3% |
| Hyperbola |
1 |
3.3% |
Maths Ncert Solutions class 12th Exam
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