**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
- An overview of Class 12 Maths (Download PDF)

### 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? **

- 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.
- Class 12 NCERT Solutions for Maths are provided on this page with no additional fee.

**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.

**How to download CBSE Class 12 Maths Solutions in PDF format?**

Study materials for all subjects of CBSE Class 12 Maths can be downloaded here in PDF format. It is easy for students to download and use these materials offline. As per the latest CBSE syllabus 2022-23, Learnworld provides NCERT solutions, revision notes, syllabus, sample papers, previous year question papers and important questions for CBSE class 12 Maths . Our teachers have designed all these materials based on their expertise and experience.

**Which Guide is considered to be best for Class 12 Maths?**

As per the study NCERT is considered to be the best book for students for Class 12 Maths.

From our site Learnworld, you can download the **Class 12 NCERT Solutions for ****Maths **Chapterwise. We provide complete solutions for every question here with all the methods and steps. Our learning materials will help clear almost all the doubts of the students with ease, so we prepared them to make it easier for them. Here, we provide **Class 12 NCERT Solutions for Maths **with solutions to all their questions, so that their doubts can be clarified. All the chapter introductions and links for the exercises are provided below. Please read them carefully.

As students prepare for their Maths exams, they can use these materials as a reference. Our learning materials will help clear almost all the doubts of the students with ease, so we prepared them to make it easier for them. This site provides students with the best answers to all the questions asked in the NCERT textbooks. We have also provided here the notes for your reference so that you can use them whenever you like.

It is our hope that the solutions will provide you with a great learning experience. By clicking on the links in the description, you can download the solutions.