RD Sharma Class 12 Mathematics Chapter-Wise Solutions

The Chapters of Class 12 Maths Syllabus are as Follows:

Chapter 1 - Relations and Functions

It helps students to cover the concepts of relations, domain and codomain. In this chapter, we will get a few theorems and sums which will clear a student’s concepts about the topic. In RD Sharma, you will see Chapter 1 is divided into three chapters (Relations, Functions, and Binary Operations).

Chapter 2 - Inverse of Trigonometric Functions

This chapter is about the inverse trigonometric functions. These inverse applications are useful in some geometry-related sums. It is mainly used for finding angles. The functions are called sine, cosine, tangent, secant and cotangent. This chapter is highly useful in Physics. So learning it properly is important.

Chapter 3 - Matrix

In this chapter, you will learn the concepts and the rules of rows and columns. This is a chapter in which you can score well. If you understand this once properly, then you will never make any mistake while solving any sum of Matrices.

The matrix chapter is divided into two chapters in RD Sharma – Algebra of Matrix and Adjoint and Inverse of Matrix.

Chapter 4 - Determinants

This chapter becomes easy because you have already learned about the matrix. In this chapter, we will use the same rules as the matrix. It’s just a different form of a matrix.

Chapter 5 - Continuity and Differentiability

This chapter covers the concepts after differentiation of function which was introduced in Class 11. This chapter provides the knowledge of Continuity, Differentiability and represents a relationship between the two. Here, we will also be introduced to logarithmic functions.

This chapter of NCERT syllabus is divided into two chapters of RD Sharma – Continuity and Differentiability.

Chapter 6 - Applications of Derivatives

This chapter marks the beginning of calculus. In this chapter, you will learn about the differentiability of functions and derivatives. This chapter is divided into eight chapters in RD Sharma – Differentiation, Higher-Order Derivatives, Derivative as a Rate-Measurer, Differentials, Errors, and Approximations, Mean Value Theorems, Tangents and Normal, Increasing and Decreasing Functions, and Maxima and Minima.

Chapter 7 - Integrals

This is one of the most important chapters of Mathematics of Class 12. It helps you to understand the integration of function and its application of areas. It is the beginning of integral calculus. This chapter is further divided into three chapters in RD Sharma- Indefinite Integrals, Definite Integrals and Areas of Bounded Regions.

Chapter 8 - Applications of Integrals

This chapter helps you to understand calculating areas such as curves, parabolas, lines, and ellipses.

Chapter 9 - Differential Equations

This chapter deals with the concepts of differential equations. It helps in finding out the general and particular solutions as well as order and degree of equations. It even tells the application of equations.

Chapter 10 - Vector Equations

In this chapter, you will understand the vector quantities. It has many properties and plays a very important role in physics as well. This chapter is further divided into six chapters in RD Sharma as- Algebra of Vectors, Scalar or Dot Product, Vector or Cross Product, Scalar Triple Product and Direct Cosines and Direction Ratios.

Chapter 11 - Three Dimensional Geometry

This chapter deals with vectors that are used for finding out the distance between lines or planes. It also helps us to find out the angles between lines and planes.

In RD Sharma, this chapter is divided into Straight Lines into Spaces and The Plane.

Chapter 12 - Linear Programming

This chapter deals with the linear programming sums and their solutions are provided via using a graphical method.

Chapter 13 - Probability

This chapter clears the concept of conditional probability. It has a few theorems and rules to remember while solving sums. It is a very scoring chapter once you grasp it properly. In RD Sharma, this chapter is divided into three chapters as Probability, Mean, and Variance of a Random Variable and Binomial Distribution.

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Mathematics is a subject that is all about formulas and concepts. However, for some students, it’s a tough subject. Having a book like RD Sharma is important as it is designed in such a way that it clears your concepts in the best possible way. RD Sharma gives you detailed concepts of every chapter with the combination of numerous sums and examples as well as solutions of NCERT for each chapter. The 12th-grade board exam is the most crucial step of school education; it sets the career route of a student’s life. Download the solutions now!

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