## Class 12 NCERT Solutions for Maths

These Designed to assist students like you in preparing for various board exams and the JEE, Class 12 NCERT Solutions for Maths are available for free online. Throughout each chapter of the Class 12 Maths NCERT textbook, you will gain solid knowledge and understanding of all important concepts. From the NCERT textbook, there are 13 chapters that are important.

Learnworld offers Class 12 NCERT Solutions for Maths that is solved by expert teachers to help students achieve excellent grades in their board examinations. This page includes all of the questions and answers from the CBSE NCERT Books. The Class 12 NCERT Solutions for Maths we have provided are explained in detail, i.e., we have provided step-by-step solutions in understandable language for all questions. Hence, students with a good understanding of Class 12 NCERT Solutions for Maths will be able to score well on their board exams. Class 12 NCERT Solutions for Maths is explained in the following paragraphs.

Class 12 NCERT Solutions for Maths

Practicing NCERT Solutions is as easy as clicking the chapter-based links below.

Class 12 NCERT Solutions for Maths

• An overview of 1 Chapter- Relations and Functions
• An overview of 2 Chapter- Inverse Trigonometric Functions
• An overview of 3 Chapter- Matrices
• An overview of 4 Chapter-Determinants
• An overview of 5 Chapter-Continuity and Differentiability
• An overview of 6 Chapter-Application of Derivatives
• An overview of 7 Chapter-Integrals
• An overview of 8 Chapter-Application of Integrals
• An overview of 9 Chapter-Differential Equations
• An overview of 10 Chapter-Vector Algebra
• An overview of 11 Chapter-Three Dimensional Geometry
• An overview of 12 Chapter-Linear Programming
• An overview of 13Chapter -Probability

### Important Questions for Class 12 Maths Chapter wise

Relations and Functions

• Concept of Relations and Functions
• Binary Operations

Inverse Trigonometric Functions

Matrices

• Matrix and Operations of Matrices
• Transpose of a Matrix and Symmetric Matrix
• Inverse of a Matrix by Elementary Operations

Determinants

• Expansion of Determinants
• Properties of Determinants
• Inverse of a Matrix and Application of Determinants and Matrix

Continuity and Differentiability

• Continuity
• Differentiability

Application of Derivatives

• Rate Measure Approximations and Increasing-Decreasing Functions
• Tangents and Normals
• Maxima and Minima

Integrals

• Types of Integrals

Differential Equation

• Formation of Differential Equations
• Solution of Different Types of Differential Equations

Vector Algebra

• Algebra of Vectors
• Dot and Cross Products of Two Vectors

Three Dimensional Geometry

• Direction Cosines and Lines
• Plane

Linear Programming

Probability

• Conditional Probability and Independent Events
• Baye’s Theorem and Probability Distribution

Class 12 NCERT Solutions for Maths Exemplar

• An overview of 1 Chapter- Relations and Functions
• An overview of 2 Chapter- Inverse Trigonometric Functions
• An overview of 3 Chapter- Matrices
• An overview of 4 Chapter-Determinants
• An overview of 5 Chapter-Continuity and Differentiability
• An overview of 6 Chapter-Application of Derivatives
• An overview of 7 Chapter-Integrals
• An overview of 8 Chapter-Application of Integrals
• An overview of 9 Chapter-Differential Equations
• An overview of 10 Chapter-Vector Algebra
• An overview of 11 Chapter-Three Dimensional Geometry
• An overview of 12 Chapter-Linear Programming
• An overview of 13 Chapter -Probability
• An overview of RD Sharma Class 12 Maths Solutions

NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions

In Class 11, we introduced the concepts of relations, functions, domains, and codomains. As part of this course, students explore the graphs of a variety of real-valued functions. Four exercises are included in the chapter to reinforce the concepts explained.

NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions

As this chapter focuses on trigonometric functions that are one-to-one, the inverse of the functions is also shown. As part of this chapter, the students will learn the behavior and graphical representations of inverse trigonometry functions, as well as the elementary properties of this type of trigonometry. Integration, later on, proves to be more beneficial with these.

NCERT Solutions for Class 12 Maths Chapter 3 Matrix

The purpose of this chapter is to introduce you to one of the most important tools of mathematics, the matrix. Matrix Algebra and matrices are taught to students.

NCERT Solutions for Class 12 Maths Chapter 4 Determinants

As a correct continuation of Matrix, this chapter addresses one of the most important parts of Matrices, namely Determinants. Determinants of up to three orders are discussed, as well as their cofactors and inverses. The chapter also discusses applications of determinants, such as calculating triangle areas, adjoining matrices, and determining linear equation consistency.

NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

Chapter 12 continues the discussion of the Differentiation of Functions that was introduced in Class 11. Continuity and Differentiability are explored and their relationships are established in this chapter. Inverse trigonometric functions are also discussed in terms of continuity and differentiability. Functions such as exponentials and logarithms are also introduced.

NCERT Solutions for Class 12 Maths Chapter 6 Application of Derivatives

This chapter introduces derivatives and the differentiability of functions at the beginning of Calculus. There is also a discussion of derivatives of specific functions, and their applications, such as tangents and normal curves, and the rate of change of certain quantities. A discussion of increasing and decreasing functions is also included.

NCERT Solutions for Class 12 Maths Chapter 7 Integrals

One of the most time-consuming and critical chapters in the entire curriculum is chapter 12 in mathematics. Throughout this chapter, we will discuss how functions can be integrated and how they can be applied to the calculation of areas. This is the first lesson in Integral Calculus. A total of 11 exercises are included in this chapter, making it an especially practice-focused part of the course.

NCERT Solutions for Class 12 Maths Chapter 8 Application of Integrals

Integrals are applied to the calculation of areas under simple curves, lines, parabolas, and ellipses in this chapter. Practicing the area calculations is sufficient with these two exercises.

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations

An introduction to Differential Equations, their general solutions, as well as their order and degree is provided in this chapter. Additionally, it discusses how differential equations are applied in the six exercises.

NCERT Solutions for Class 12 Maths Chapter 10 Vector Equations

Vector quantities, that is, quantities that have both magnitude and direction, are discussed in this chapter. In vector algebra, the rules for adding vector quantities are summarized, as well as other important properties. Physics relies heavily on vector algebra.

Class 12 Maths Chapter 11 Three Dimensional Geometry

It introduces the concept of direction cosines and uses vectors to calculate distances between lines, points and lines, and lines and planes.

Class 12 Maths Chapter 12 Linear Programming

There is only one method for solving linear programming problems in this chapter: the graphical method.

Class 12 Maths Probability

We encounter Conditional Probability in our daily lives and this chapter discusses the concept. The multiplication rule, Bayes’ Theorem, and the independence of events are discussed. Practice as many questions as possible to gain a better understanding of this chapter.

What are the advantages for solving Class 12 NCERT solutions for Maths?

•  This page provides clear and concise NCERT Textbook Solutions for Maths.
• Students can easily comprehend the books of Class 12 NCERT Solutions for Maths in easily understandable language.
• Everyone has access to it at anytime and anywhere without any difficulty.
• Students will definitely score better marks in the examination if they master these solutions based on the NCERT (CBSE) Syllabus and Books.

FAQ’S

How to excel in Class 12 CBSE Mathematics?

Use the latest NCERT Class 12 Maths Solutions Books if you’re looking for tips and tricks to master class 12 Maths. Just referring to the CBSE NCERT textbook is sufficient for Class 12 Maths.

Why NCERT solutions for class 12 Maths are relevant?

Each NCERT Solution is designed so that every student can readily grasp the concept in their minds and can clear all their doubts within a few seconds. With the help of this self-explanatory book, students will be able to innovate and explore math. Students can also assess their learning abilities by using the Class 12 NCERT Solutions for Maths for Class 12 board exams.