# RD Sharma Class 12 Maths Solutions (Updated for 2021-22) RD Sharma Class 12 Solutions for Maths: Students can readily download RD Sharma Solutions for Class 12 Maths PDF to begin proper study for their upcoming board exams or competitive exams. These solutions will shift every student’s attitude toward Mathematics and will undoubtedly help them realise how enjoyable and simple the subject is, as Mathematics is a difficult subject for Class 12 students.

Download the RD Sharma Class 12 Maths Solutions now and go over all of the questions. By answering these questions, students will gain experience with a variety of question types that may appear on the exam.

## RD Sharma Class 12 Solutions for Maths (Chapter-wise)

Students also have access to extra online study materials and resources, such as notes, books, question papers, exemplar problems, worksheets, and so on, which are available at Kopykitab.

## RD Sharma Solutions for Class 12 Maths

These RD Sharma Solutions Class 12 can be used by students to gain knowledge.

### RD Sharma Class 12 Relations Solutions | RD Sharma Solutions for Class 12 Maths Chapter 1- Relations

Relations and their properties, types of relations, inverse of a relation, equivalence relation, some important conclusions on relations, reflexive relation, symmetric relation, and transitive relation are all covered in Chapter 1 of the RD Sharma textbook.

### RD Sharma Solutions for Class 12 Maths Chapter 2 – Functions

The second chapter, Functions of RD Sharma Class 12 Maths, covers a variety of topics, like: the definition of functions, the graph of a function, function as a correspondence, function as a set of ordered pairs, vertical line test, modulus function, greatest integer function, constant function, identity function, properties of greatest integer function, smallest integer functions and its properties, fractional part function, signum function, exponential function, logarithmic function, reciprocal and square root function, square function, square root function, cube function, reciprocal squared function, operations on real function, kinds of functions such as one-one, many-one and onto function, bijection, the composition of functions and its properties and composition of real functions.

Meanwhile, students will learn how to relate the graphs of a function to its inverse in this chapter.

### RD Sharma Solutions for Class 12 Maths Chapter 3 – Binary Operations

In Chapter 3 of RD Sharma’s Maths Exam textbook, we will focus at a binary operation, the number of binary operations, types of binary operations such as commutativity, associativity and distributivity, an identity element, inverse of an element, composition table, addition modulo ‘n’, and multiplication modulo ‘n’.

### RD Sharma Solutions for Class 12 Maths Chapter 4 – Inverse Trigonometric Functions

The concept of the inverse of a function is covered in Chapter 4 of RD Sharma Solutions Maths. Students will get to learn about the definition and concept of inverse trigonometric functions, the inverse of the cosine function, inverse of the sine function, inverse of the tangent function, inverse of cosecant function, inverse of secant function, inverse of cotangent function, and properties of inverse trigonometric functions.

### RD Sharma Solutions for Class 12 Maths Chapter 5 – Algebra of Matrices

The definitions of Matrices begin Chapter 5 of the RD Sharma textbook. Students will learn about types of matrices, equality of matrices, the addition of matrices, properties of matrix addition, multiplication of a matrix by a scalar, properties of scalar multiplication, subtraction of matrices, multiplication of matrices, properties of matrix multiplication, positive integral powers of a square matrix, transpose of a matrix, properties of transpose, symmetric and skew-symmetric matrices via examples. Students can find exercises that adequately explain these concepts and provide solutions here.

### RD Sharma Solutions for Class 12 Maths Chapter 6 – Determinants

The sixth chapter of RD Sharma’s textbook contains a definition of determinants, determinant of a square matrix of order 1, 2, and 3, determinant of a square matrix of order 3 by using Sarrus diagram, singular matrix, minors and cofactors, properties of determinants, evaluation of determinants, applications of determinants to coordinate geometry and applications of determinants in solving a system of linear equations and condition for consistency.

Students can find exercises that appropriately explain the 12th-Grade Board Exam Ch 6 concepts here.

### RD Sharma Solutions for Class 12 Maths Chapter 7 – Adjoint and Inverse of a Matrix

The concept of the adjoint of a square matrix, the inverse of a matrix, some important results on invertible matrices, elementary transformations of elementary operations of a matrix via examples, and verbal problems related to it are all covered in Chapter 7. We have included exercises with solutions based on the chapter’s topics.

### RD Sharma Solutions for Class 12 Maths Chapter 8 – Solutions of Simultaneous Linear Equations

We continue our discussions on equations starting with definition, consistent system, homogeneous and non-homogeneous systems, matrix method for the solution of a non-homogeneous system, and final solution of a homogeneous system of linear equations. in Chapter 8 of the RD Sharma textbook.

### RD Sharma Solutions for Class 12 Maths Chapter 9 – Continuity

Students focus on the following topics in this chapter: the definition of continuity, continuity at a point, algebra of continuous function, continuity on an interval, continuity on an open interval, continuity on a closed interval, continuous function, everywhere continuous function, and properties of continuous functions.

The answers to the exercises in this chapter can be found here.

### RD Sharma Solutions for Class 12 Maths Chapter 10 – Differentiability

Differentiability is the focus of this chapter. We will apply the basic facts and formulae we learned in Class 11 in this chapter, along with the topics like differentiability at a point, differentiability in a set, and some useful results on differentiability.

The solutions to the exercises from this chapter, which have adequately explained the topic, have been put here.

### RD Sharma Solutions for Class 12 Maths Chapter 11 – Differentiation

Topics relating to differentiation, differentiation of inverse trigonometric functions from first principles, differentiation of a function, differentiation of inverse trigonometric function by chain rule, differentiation by using trigonometric substitutions, differentiation of implicit functions, logarithmic differentiation, differentiation of infinite series, differentiation of parametric functions and differentiation of a function with respect to another function via illustrations are covered in Chapter 11 of RD Sharma’s Class 12 Maths.

### RD Sharma Solutions for Class 12 Maths Chapter 12 – Higher Order Derivatives

Higher-order derivatives are introduced to students in this chapter. This chapter covers the following topics: proving relations involving various order derivatives of cartesian functions, proving relations involving various order derivatives of parametric functions, and proving relations involving various order derivatives via illustrations.

### RD Sharma Solutions for Class 12 Maths Chapter 13 – Derivative as a Rate Measurer

The derivative as a rate measurer is introduced to students in this chapter. This chapter’s concepts include: how to find rate measurer of derivative and related rates in which the rate of change of one of the quantities involved is required, corresponding to the given rate of change of another quantity. This chapter provides extra word problems to assist students in effectively learning sentence formation.

### RD Sharma Solutions for Class 12 Maths Chapter 14 – Differentials, Errors, and Approximations

Differentials and errors are covered in Chapter 14 of RD Sharma’s Class 12 Maths. The following are some of the topics that are discussed: the definition of differentials, absolute error, relative error, percentage error, the geometrical meaning of differentials with algorithms, and finding the approximate value using differentials.

### RD Sharma Solutions for Class 12 Maths Chapter 15 – Mean Value Theorems

Theorems related to mean values will be discussed in this chapter. It also covers Rolle’s theorem, geometrical interpretation of Rolle’s theorem, algebraic interpretation of Rolle’s theorem, the applicability of Rolle’s theorem, Lagrange’s mean value theorem, geometrical interpretation of Lagrange’s mean value theorem, verification of Lagrange’s mean value theorem, applications of Lagrange’s mean value theorem and proving inequalities by using Lagrange’s mean value theorem.

### RD Sharma Solutions for Class 12 Maths Chapter 16 – Tangents and Normals

This chapter deals with the slope of a line, slopes of tangent and normal, finding slopes of tangent and normal at a given point, finding the point on a given curve at which tangent is parallel or perpendicular to a given line, and normal with an algorithm, finding the equation of tangent and normal to a curve at a point, finding tangent and normal parallel or perpendicular to a given line, finding tangent or normal passing through a given point, angle of intersection of two curves and orthogonal curves.

Below are links to the solutions for each of the exercises in this chapter.

### RD Sharma Solutions for Class 12 Maths Chapter 17 – Increasing and Decreasing Functions

The topic of increasing and decreasing functions, solution of rational algebraic inequations with algorithms, strictly increasing functions, strictly decreasing functions, monotonic functions, monotonic increasing, and monotonic decreasing functions, necessary and sufficient conditions for monotonicity, finding the intervals in which a function is increasing or decreasing and proving the monotonicity of a function on a given interval is covered in Chapter 17 of RD Sharma’s textbook.

### RD Sharma Solutions for Class 12 Maths Chapter 18 – Maxima and Minima

Maxima and Minima, Chapter 18 in RD Sharma’s textbook, deal with the maximum and minimum values of a function in its domain, definition of maximum, local maxima and local minima, definition and meaning of local maximum, first derivative test for local maxima and minima along with algorithm, higher-order derivative test, point of inflection, properties of maxima and minima, maximum and minimum values in the closed interval and applied problems on maxima and minima. Students can find exercises that adequately explain these ideas and provide solutions here.

### RD Sharma Solutions for Class 12 Maths Chapter 19 – Indefinite Integrals

Students focus on the following topics in this chapter: indefinite integral, primitive and antiderivative, fundamental integration formulae, some standard results on integration, integration of trigonometric functions, integration of exponential functions, geometrical interpretation of indefinite integral, comparison between differentiation and integration, methods of integration, integration by substitution, integration by parts, integration of rational algebraic functions by using partial fractions and integration of some special irrational algebraic functions. These concepts are well-explained with examples. The answers to the exercises in this chapter can be found here.

We recognize the benefits of going through problems in order to gain a deeper knowledge of concepts and their applications. As a result, we at Kopykitab provide students with all- detailed approach RD Sharma Solutions for Class 12 Maths.

### Get Other Highly Important Learning Material for Class 12 Maths Exam

Here you can check links to various study materials related to 12th Maths:

12th Maths Syllabus

12th Maths NCERT Solutions

12th Maths Sample Papers

12th Maths Previous year Papers

12th Maths RS Aggarwal Solutions

12th Maths Revision Notes

12th Maths Formulas

We have covered the detailed guide on CBSE Class 12th Maths RD Sharma Solutions 2021. Kindly share your suggestions, and feel free to ask any queries in the below comment sections.

## Frequently Asked Questions on RD Sharma Solutions for Class 12 Maths

### What is the best reference book for Class 12 Maths?

RD Sharma is the best reference book for Class 12 Maths.

### How is RD Sharma helpful for students?

The book is designed by some of the finest subject experts mathematicians of the country, as a result, it helps you to solve any problem (whether it is difficulty level or graduate level) in the most efficient manner.

### What are the best things in the RD Sharma?

RD Sharma solution provides an algorithmic approach to solve each and every problem.

### Is RD Sharma enough for boards Class 12?

Yes, This book will aid students of class 12 to build a strong foundation of the basics in an easy-to-understand format or easy-to-remember format.

### Is RD Sharma good for JEE mains?

RD Sharma prepares your foundation for JEE for strong and advanced conceptual questions, but you should use other reference books.

### Is RD Sharma good for CBSE?

RD Sharma Solutions are designed primarily for CBSE students and are based on the latest syllabus.

### What kind of Class 12 questions does RD Sharma Solutions provide?

RD Sharma reference books provide extremely short-response questions, short answer questions, multiple-choice questions, and long answer questions, which assist students to manage their time and improve critical thinking.