# NCERT Solutions for Class 12 Maths

##### Class 12 Maths NCERT Solutions

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You need to know that the curriculum of all the schools that follow the Central Board of Secondary Education (CBSE) is arranged by
the Education Research and Training Council (NCERT) across the nation. **Class 12 Maths NCERT Solutions** in PDF is designed as the syllabus
suggests and helps students in solving the exercises and give them an understanding of the subject.

**NCERT Solutions For Class 12 Maths** provides a conceptual foundation for all the topics in the CBSE Class 12 Maths syllabus. It incorporates detailed explanations of
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their class along with the Class 12 Maths Notes, Solved exemplar Problems and previous year's question papers as well as worksheets.

##### NCERT Solutions for Class 12 Maths PDF Downloads

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###### Ncert Solutions for Class 12 Maths Chapter 1: Relations and Functions

The first chapter of CBSE Class 12 deals with the concept of relationships and functions, domains, co-domains, and boundaries with a variety of real-value functions and their associated graphs already introduced in the 11th-grade curriculum. In this chapter, you will solve four practice questions by combining those four essential elements.

###### Ncert Solutions for Class 12 Maths Chapter 2: Inverse Trigonometric Functions

There are many functions that do not have one, or both, so we cannot talk about their inverse. In class 11, it was studied that trigonometric functions are absent from each other and at their natural domains and boundaries, and therefore have no inversions. There are only two exercises that you can study about the domains and boundaries of the CBSE Class 12 inverted trigonometric functions, trigonometric functions, which reflect the visibility of their inversions and observe their behavior through graphical representations. In addition, some basic features will also be discussed. Inverted trigonometric functions are very important in calculus to define multiple integrals. The concepts of inverse trigonometric functions are widely applied in science and engineering.

###### Ncert Solutions for Class 12 Maths Chapter 3: Matrices

You need to know mathematics because it is important in different areas of mathematics. Mathematics is considered one of the most powerful tools in mathematics. This makes our work much easier compared to other methods. There are a total of 62 questions in Exercises 4 of this chapter. In this chapter, you will delve deeper into the basics of Matrix and Matrix Algebra.

###### Ncert Solutions for Class 12 Maths Chapter 4: Determinants

In Chapter 3, the matrices of matrices and algebra are described. In this chapter, however, you will study how to determine only three entries with actual entries. In addition, the six exercises are distributed so that you can find the properties of a triangle, the components, the proximity of the square matrix, and the determinants of the inverse, the cofactors, and the different applications of the system. Linear equations. Studies and solves linear equations in two or three variables using the inverse of the matrix in these exercises.

###### Ncert Solutions for Class 12 Maths Chapter 5: Continuity and Differentiability

This chapter is an extension of the differentiation of the works you read in tenth grade. You can learn to distinguish certain functions between polynomial functions and trigonometric functions. This chapter describes the most important aspects of continuity, diversity, and the relationship between them. You will learn about the differentiation of inverse trigonometric functions. In addition, you will be familiar with a new class of functions called Exponential and Logarithmic Functions. There are a total of eight exercises in this chapter, so you need to devote some extra time and effort to practice with this chapter.

###### Ncert Solutions for Class 12 Maths Chapter 6: Applications of Derivatives

In Chapter 5, you will learn how to get mixed functions, derivative functions, exponential functions, inverse trigonometric functions, and logarithmic functions. In this chapter, you will study the applications of derivatives in engineering, science and many other fields. For example, we learn how to use the derivative to determine the rate of change of a quantity and find the tangents of a curve at one point and the equations of the ordinary and many derivatives. We also use the derivative to find the interval to increase or decrease functions. There are all five exercises where you will find detailed information on the derivatives application. Finally, derivatives are used to find the approximate value of some quantities.

###### Ncert Solutions for Class 12 Maths Chapter 7: Integrals

Is based on the idea of derivative of differential calculus. The problem of defining tangent lines and calculating the slope of such lines in the graph of derivative functions. The graph of the integral calculus function reduces the problem of defining and computing the area of the boundary. With all eleven exercises, you should learn each topic and their related questions in intensity.

###### Ncert Solutions for Class 12 Maths Chapter 8: Applications of Integrals

Here, in this chapter, you will study some specific applications that are integral to finding a given area under normal curves, as well as the area between the lines and curves of circles, parval and ellipses (standard form only). There are two exercises in this chapter, in which you also deal with finding the area bound by the above curves.

###### Ncert Solutions for Class 12 Maths Chapter 9: Differential Equations

In Differential Equation, you study some of the basics of Differential Equation, General and Special Solutions of Differential Equation, Structure of Differential Equation, and the number of ways to solve the query on a first-order basis. Differential Equations and Applications of Differential Equations in Some Different Areas. This chapter includes a total of six exercises for students. A wide variety of equations are applied to all other disciplines and fields. Therefore, if you study the differential equation chapter in detail, it will help you to gain detailed knowledge on all modern scientific research.

###### Ncert Solutions for Class 12 Maths Chapter 10: Vector Algebra

Do you know that quantities that only have one value (size), which is a real number called a scalar? However, size and direction are called vectors. In the Vector Algebra chapter, you will study some basic elements of vectors, various operations on vectors, and algebraic and geometric properties.

###### Ncert Solutions for Class 12 Maths Chapter 11: Three dimensional Geometry

Chapter Three Dimensional Geometry takes you through the study of the direction cosines and direction ratios of a line joining two points, and also describes the equations of lines and planes in space under different conditions. In addition, you also know the angle between two lines, a line and the plane, the two planes, the shortest distance between the two oblique lines, and the point distance from the plane.

###### Ncert Solutions for Class 12 Maths Chapter 12: Linear Programming

There are only two exercises in this chapter, in which you study some linear programming problems and their solutions by linear method, although there are many other methods available to solve such problems.

###### Ncert Solutions for Class 12 Maths Chapter 13: Probability

Probability takes you through the complex conceptions of the conditional probability of an event, the assertion of the Bayes theory, the multiplication law of probability, and the independence of events. With all five exercises, you also learn the essential concept of the mean and variance of a random variable and its probability distribution and probability distribution.

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