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RD Sharma Class 12 Solutions

RD Sharma Class 12 Maths Solutions include all the 33 chapters of the book and cover more than 500 practice questions. RD Sharma Solutions for Class 12th are entirely based on the CBSE Class 12th exam pattern. They range from basic to advanced level so that you can prepare for your competitive exams like JEE, BITSAT etc along with class 12 board exams. This is going to help you with the best revisions and also you can look over all the topics quickly. 

If you have been facing issues in finding the right solutions to all the questions of RD Sharma Class 12 Maths chapters, then instasolv is going to be available for you whenever you need help. To score the best in class 12 Maths exam, it is vital to have the finest tutors along with the best solutions. The experts at Instasolv employ different innovative techniques and the cutting edge technology to make the Class 12 Maths subject more accessible, effective, as well as affordable. 

Our RD Sharma Class 12 Solutions are arranged chapter-wise. We have solved all the exercise problems for the chapters in a stepwise manner and have provided clear explanations. We also offer revision notes for all these chapters if you want to revise the fundamentals and formulae before practicing the questions.

Class 12

RD Sharma Class 12 Solutions Chapter 1: Relations

You have already learned about relations in class 11 but this chapter is going to elaborate on everything using theorems and problems that will clarify your concept about the relations only. Class 12 Relations chapter covers different topics like reflexive relations, symmetric relations, transitive relations, and antisymmetric relations. 

Number of Questions: 4 Exercises and 109 Questions 

RD Sharma Class 12 Solutions Chapter 2: Functions

In the first chapter, you studied relations whereas the chapter functions, covers, sets. You have learned about sets in class 11 but in this chapter, you will study about different functions like reciprocal function, square function, square root function, cube function, as well as cube root function. Also, you will study the relationship between graphs of a function and its inverse. 

Number of Questions: 6 Exercises and 215 Questions 

RD Sharma Class 12 Solutions Chapter 3: Binary Operations

In the chapter 3 of class 12 RD Sharma book, you will learn what binary operations are. You will learn about different types of binary operations like commutativity, associativity, distributivity, identity elements and composition tables. 

Number of Questions: 7 Exercises and 123 Questions 

RD Sharma Class 12 Solutions Chapter 4: Inverse of Trigonometric Functions

Inverse trigonometric functions also refer to as anti-trigonometric functions or cyclometric functions. These functions have their application in geometry, physics, navigation and engineering. The inverse trigonometric functions are mainly used to find an angle from any of the angles trigonometric functions. These functions are expressed as the inverse of tan, cos, sin, cosec, sec and cot.

Number of Questions: 16 Exercises and 303 Questions 

RD Sharma Class 12 Solutions Chapter 5: Algebra of Matrices

In this chapter, you will learn about types of matrices, operations on matrices such as addition, subtraction, multiplication, transpose, symmetric matrices and skew-symmetric matrices. 

Number of Questions: 7 Exercises and 307 Questions 

RD Sharma Class 12 Solutions Chapter 6: Determinants

RD Sharma Class 12 Maths Determinants chapter is an elaborated version of the previous chapter. A quantity or number that you can get by the edition of products of the elements given in a square matrix. In this chapter, you will study different topics like definition of determinants, evaluation of determinants, properties of determinants, the addition of determinants, area of Triangle, condition of consistency, etc.

Number of Questions: 7 Exercises and 256 Questions 

RD Sharma Class 12 Solutions Chapter 7: Adjoint and Inverse of a Matrix

Chapter 7 is an elaborated version of the third part of the matrices topic as per the NCERT book. You will learn about the adjoint concept of matrix. The topics covered in this chapter are the inverse of a matrix, determining the adjoint and inverse of a matrix, finding a non-singular matrix when adjoint is given etc. 

Number of Questions: 2 Exercises and 74 Questions 

RD Sharma Class 12 Solutions Chapter 8: Solution of Simultaneous Equations

This chapter focuses on the homogeneous and non-homogeneous systems of equations. The different concepts discussed in the chapter are homogeneous and non-homogeneous system, solving the given system of the linear equation when the coefficient matrix is nonsingular, the determinant of the coefficient matrix is singular, solving using matrix method and so on. 

Number of Questions: 4 Exercises and 75 Questions 

RD Sharma Class 12 Solutions Chapter 9: Continuity

Continuity is a concept that helps in defining the algebraic equations. This chapter covers different topics like the intuitive notion of continuity, continuity at a point, algebra of continuous function, continuity on an interval, open as well as closed interval, etc. 

Number of Questions: 4 Exercises and 155 Questions 

RD Sharma Class 12 Solutions Chapter 10: Differentiability

In the Differentiability chapter, you will study differentiability at a point, definition and meaning of differentiability at a point, differentiability in a set and some useful results on differentiability. 

Number of Questions: 4 Exercises and 64 Questions 

RD Sharma Class 12 Solutions Chapter 11: Differentiation

Class 12 Differentiation chapter consists of derivatives and integration that covers maximum weightage in class 12. The chapter covers different topics such as differentiation of inverse trigonometric functions from first principles, a recapitulation of the product rule, quotient rule and differentiation of a constant with an illustration, differentiation of a function, differentiation of determinant and differentiation of infinite series.

Number of Questions: 10 Exercises and 350 Questions 

RD Sharma Class 12 Solutions Chapter 12: Higher Order Derivative

This chapter will guide you for how to prove positive relations that involve various order derivatives, for identifying relationships that involve order derivative of cartesian functions and derivative of parametric functions. 

Number of Questions: 3 Exercises and 96 Questions 

RD Sharma Class 12 Solutions Chapter 13: Derivative as a Rate Measurer

This chapter is going to discuss the rate measurer which is the derivative of a variable. In this chapter, you will study about the theorems and remarks on derivatives, the detailed concept of rate measurer, and meaning and definition of related sets.

Number of Questions: 4 Exercises and 78 Questions 

RD Sharma Class 12 Solutions Chapter 14: Differentials, Errors and Approximation

Chapter 12 is all about the functions as well as explorations associated with derivatives. You will practice questions related to absolute errors, relative errors, finding approximate values of differentials etc. 

Number of Questions: 3 Exercises and 61 Questions 

RD Sharma Class 12 Solutions Chapter 15: Mean Value Theorems

In this chapter you will study about different types of theorems like Rolle’s Theorem, Lagrange’s mean value theorem, geometrical and algebraic interpretation of Rolle’s theorem and verification of theorem for a given function. 

Number of Questions: 4 Exercises and 96 Questions 

RD Sharma Class 12 Solutions Chapter 16: Tangents and Normal

In this chapter, you will learn about tangents finding slopes and equations of tangent and normal, finding equations of a curve, orthogonal curves, angle of intersection of two curves, slopes of curves etc. 

Number of Questions: 5 Exercises and 149 Questions 

RD Sharma Class 12 Maths Solutions Chapter 17: Increasing and decreasing functions

In chapter 17, you will study about monotonic functions and conditions of monotonicity. This chapter is intended to teach you about finding the intervals in which a function is increasing or decreasing. 

Number of Questions: 3 Exercises and 100 Questions 

RD Sharma Class 12 Maths Solutions Chapter 18: Maxima and Minima

In the class 12 Maxima & Minima chapter, you will find out the maximum and minimum values of a function. You will study different topics like local maxima and minima, properties of maxima and minima, higher-order derivatives, point of inflexion, etc. 

Number of Questions: 7 Exercises and 135 Questions 

RD Sharma Class 12 Maths Solutions Chapter 19: Indefinite Integrals

This chapter is going to discuss different topics like primitive, antiderivative and indefinite integrals, integration of trigonometric functions, integration by parts, etc. You will also learn various methods of integration such as integration by substitution and integration by parts. 

Number of Questions: 34 Exercises and 850 Questions 

RD Sharma Class 12 Maths Solutions Chapter 20: Definite Integrals

This chapter comes in the continuation of the above-mentioned chapter. You will learn about the definite integral of a function that remains associated with the antiderivative and indefinite integral. The other topics covered are definite integrals as a limit of a sum, properties of definite integrals, fundamental theorem of calculus etc. 

Number of Questions: 8 Exercises and 345 Questions 

RD Sharma Class 12 Maths Solutions Chapter 21: Area Bounded Regions

In chapter 21, you will learn about how to draw the rough sketches of several types of curves that mainly enclose one region. It is essential for you to go through the chapter and understand every basic of the chapter. 

Number of Questions: 5 Exercises and 123 Questions 

RD Sharma Class 12 Maths Solutions Chapter 22: Differential Equations

A differential equation refers to an equation that contains an independent variable, dependent variable as well as differential coefficients of a dependent variable that concerns the independent variable. RD Sharma Class 22 chapter 22 chapter covers different topics like how to solve the differential equations, what properties you can use to solve differential equations, etc.

Number of Questions: 13 Exercises and 460 Questions 

RD Sharma Class 12 Maths Solutions Chapter 23: Algebra of Vectors

Chapter 23 refers to the action of performing algebraic operations on different types of vectors. You will learn about the vectors in 2D as well as 3D space in an elaborate manner.

Number of Questions: 11 Exercises and 177 Questions 

RD Sharma Class 12 Maths Solutions Chapter 24: Scalar or Dot Product

In this chapter, you will learn how to find scalar products of vectors along with the important properties of scalar or dot products. 

Number of Questions: 4 Exercises and 138 Questions 

RD Sharma Class 12 Maths Solutions Chapter 25: Vector or Cross Product

Chapter 25 is a part of vector algebra. In this chapter, you will learn about equality of vectors, vector products, properties of vector products, vector products of unit vectors, vector products of perpendicular vectors, area of triangle and parallelogram. 

Number of Questions: 3 Exercises and 93 Questions 

RD Sharma Class 12 Maths Solutions Chapter 26: Scalar Triple Product

This chapter is also a part of the vector algebra where you will learn how to find the scalar triple product of vectors and properties of the scalar triple product. 

Number of Questions: 4 Exercises and 138 Questions 

RD Sharma Class 12 Maths Solutions Chapter 27: Direction Cosines and Direction Ratios

This chapter is an elaborated version of trigonometry. In this chapter, you will learn about direction ratios that provide an easy way to specify the direction of a line in any 3D space. 

Number of Questions: 2 Exercises and 40 Questions 

RD Sharma Class 12 Maths Solutions Chapter 28: Straight Line in Space

This chapter discusses a line that extends on both sides still infinitely without any use of curves. 

Number of Questions: 7 Exercises and 136 Questions 

RD Sharma Class 12 Maths Solutions Chapter 29: The Plane

A plane refers to a flat 2D surface that contains infinite dimension but has zero thickness. It includes concepts such as finding slope, x-intercept and y-intercept. 

Number of Questions: 17 Exercises and 230 Questions 

RD Sharma Class 12 Maths Solutions Chapter 30: Linear Programming

In the earlier classes, you learnt about how to make a graph of equations that have inequalities. This chapter is going to teach you some methods that will help you in forming equations. You will be asked to find the maximum and minimum value of an equation within a given set of conditions. 

Number of Questions: 6 Exercises and 103 Questions 

RD Sharma Class 12 Maths Solutions Chapter 31: Probability

You already know that probability helps in finding the possibility of certain things. In RD Sharma Class 12th, you will study different methods to find the probability of different organised events. 

Number of Questions: 9 Exercises and 250 Questions 

RD Sharma Class 12 Maths Solutions Chapter 32: Mean and Variance of Random Variable

In this chapter, you will study different topics like Bayes theorem, how to find the mean of random variables and how to find the variance of random variables. It is an extension of the probability chapter. 

Number of Questions: 4 Exercises and 77 Questions 

RD Sharma Class 12 Maths Solutions Chapter 33: Binomial Distribution

In the Binomial Distribution chapter, you will learn about binomial distribution and how to calculate Bernoulli trials. It is an extension of statistics and probability. 

Number of Questions: 4 Exercises and 99 Questions 

Benefits of RD Sharma Solutions for Class 12 By Instasolv

RD Sharma Class 12 Maths book is known to be the best practice textbook that can help you revise and practise all the important concepts for CBSE exams along with entrance tests such as JEE. If you are among those struggling in finding the right solutions, then RD Sharma Solutions for Class 12 Maths by Instasolv will be the best choice you can make. Our professional experts have dedicatedly designed the chapter-wise solutions so as to make the entire course content easy for you.