# RS Aggarwal Class 12 Solutions

RS Aggarwal Class 12 Maths Solutions have been prepared to make sure you build a strong foundation before proceeding for higher education. The topics covered in RS Aggarwal Solutions for Class 12 are part of your CBSE syllabus and are carefully designed to help you pace up with the increasing difficulty level of the subject.

RS Aggarwal Class 12th Maths book syllabus has been divided into 33 chapters. All the chapters have comprehensive coverage of the advanced concepts that are a part of the high-level entrance exams such as the JEE, BITSAT, NEET etc. You will find the solutions of RS Aggarwal very reliable as they have been written making sure that they comply with the guidelines by the CBSE. The important topics of Calculus, Determinants, Coordinate Geometry, Statistics have all been covered under different detailed headings.

RS Aggarwal Solutions for CBSE Class 12th Maths has been prepared in a step by step manner to aid you in making the most of your exam preparation. The solutions are prepared by the most experienced subject matter experts, who employ their experience to guide you through the most complicated topics of NCERT Class 12 Maths textbook.

## RS Aggarwal Class 12 Solutions Chapter 1: Relations

In the solutions of RS Aggarwal Maths Class 12th chapter 1, you will be introduced to the definition of relations, types of relations and equivalence of relations.

**Number of Exercises: **There are 2 exercises in chapter 1 covering all the possible patterns of questions in this introductory chapter.

**Number of Questions: **There are 25 questions included in both the exercises of this chapter.

## RS Aggarwal Class 12 Solutions Chapter 2: Functions

You will learn about functions and their types in this chapter along with learning about the invertibility and composition of a function.

**Number of Exercises: ** There are 4 exercises in this chapter 2 of RS Aggarwal solutions of Class 12 Maths.

**Number of Questions: **In these solutions, we have compiled in-depth solutions to all the 31 questions.

## RS Aggarwal Class 12 Solutions Chapter 3: Binary Operations

This chapter is an extension of relations and functions and establishes the methods of various binary operations performed on them. You will also get to meditate on the properties exhibited by these operations.

**Number of Exercises: **There are two exercises in this chapter of RS Aggarwal Class 12 solutions for Maths, namely 3A and 3B.

**Number of Questions: **There are a total of 14 questions covered in the two exercises of this chapter.

## RS Aggarwal Class 12 Solutions Chapter 4: Inverse Trigonometric Functions

This is a very simple and scoring chapter of RS Aggarwal Class 12 book covering the properties of inverse trigonometric functions and their graphical representation by learning to evaluate the principal values of these functions.

**Number of Exercises: **There are a total of 5 exercises which comprehensively cover all the important questions related to the exams of your level.

**Number of Questions: **You will find detailed and accurate solutions to all the 126 questions of the RS Aggarwal Class 12 Chapter 4.

## RS Aggarwal Class 12 Solutions Chapter 5: Algebra of Matrices

In this chapter, you will not only learn about the types of matrices but also how to perform different algebraic operations such as elementary operations, the addition of matrices and multiplication of matrices, finding transpose and inverse of a matrix.

**Number of Exercises: **All the topics are covered separately in detail in 6 exercises.

**Number of Questions: **There are 126 questions in the solutions to this chapter that will prepare a robust foundation of matrices and determinants.

## RS Aggarwal Class 12 Solutions Chapter 6: Determinants

Chapter 6 of RS Aggarwal Solutions for Class 12th Maths is a detailed analysis of the determinants of different orders and the properties of determinants. You will also learn some applications of determinants that make up a part of your syllabus.

**Number of Exercises: **All the topics of this chapter are compiled together in 4 exercises.

**Number of Questions: **There are 110 questions covered in the solutions of this chapter leaving no scope of gap in any of the concepts of the chapter.

## RS Aggarwal Class 12 Solutions Chapter 7: Adjoint and Inverse of a Matrix

This is a crucial chapter and an extension of Matrices and Determinants. You will learn to find the adjoint of a matrix and its inverse by performing elementary operations in chapter 7.

**Number of Exercises: **There is one exercise in the solutions of RS Aggarwal Class 12 Chapter 7.

**Number of Questions: **There are 37 questions covering all the possible patterns of the questions asked in your exams.

## RS Aggarwal Class 12 Solutions Chapter 8: System of Linear Equation

This chapter is a meditation upon the steps of finding the solutions of a given system of equations and has many applications on your practical life.

**Number of Exercises: **All the questions are covered in 1 exercise in the chapter 8 of RS Aggarwal 12th Maths solutions.

**Number of Questions: **The number of questions that make up this chapter is 23 nos. You will find solutions to all the questions at Instasolv.

## RS Aggarwal Class 12 Solutions Chapter 9: Continuity

Continuity chapter is an application of functions in which you will learn the importance of domain, co-domain, and range of the functions. You will be introduced to the concepts of continuity and its dependence on the domain.

**Number of Exercises: **In this chapter, there are 3 exercises in total covering the functions in detail.

**Number of Questions: **This chapter consists of 25 detailed questions that will help you have clarity in all the concepts of this chapter.

## RS Aggarwal Class 12 Solutions Chapter 10: Differentiation

This chapter will build a strong foundation in Differential Calculus. Differentiation of exponential, logarithmic and inverse trigonometric functions have been covered in this chapter in detail.

**Number of Exercises: **There are 10 exercises in the chapter 10 to help you cover the topics in a robust manner.

**Number of Questions: **143 questions are covered in total in the solutions of Chapter 10 RS Aggarwal Class 12 Maths.

## RS Aggarwal Class 12 Solutions Chapter 11: Application of Derivatives

In this chapter, you will learn important topics of your syllabus such as Rolle’s theorem, Mean Value Theorem, and their applications in tangents and normals.

**Number of Exercises: **There are 8 exercises in this chapter covering the advanced questions asked in national level competitive exams.

**Number of Questions: **There are 102 questions in this chapter covered with 100% accurate and precise solutions.

## RS Aggarwal Class 12 Solutions Chapter 12: Indefinite Integrals

You will learn about the concepts of area function and anti-derivatives in this chapter. The first fundamental theorem of Calculus and the second fundamental theorem of calculus which are of vital importance in integration.

**Number of Exercises: **There are two exercises in this chapter covering both subjective as well as objective type of questions.

**Number of Questions: **There are 32 subjective questions and 41 objective questions in chapter 12.

## RS Aggarwal Class 12 Solutions Chapter 13: Methods of Integration

In this chapter, you will be introduced to the various methods of integration of functions such as integration by substitution, integration by parts, integration using trigonometric functions.

**Number of Exercises: **There are 3 exercises in the chapter 13.

**Number of Questions: **86 questions are covered in the exercise solutions of this chapter in a step by step manner.

## RS Aggarwal Class 12 Solutions Chapter 14: Some Special Integrals

You will learn the standard formulae of some special functions in the chapter 14 of RS Aggarwal Solutions and their applications to derive further some special integrals.

**Number of Exercises: **This is a small yet crucial chapter comprising 3 exercises.

**Number of Questions: **The 3 exercises consist of 55 detailed questions in this chapter.

## RS Aggarwal Class 12 Solutions Chapter 15: Integration using Partial Fractions

This chapter includes the integration of the product of two functions using the method of Integration by parts. You will also require a rigorous practice of functions to be able to solve the most important questions of your exams.

**Number of Exercises: **There are 2 exercises in this chapter 15A and 15B providing a detailed coverage of all the concepts in this chapter.

**Number of Questions: **Instasolv has prepared the answers compliant to the latest CBSE guideline of all the 50 questions of RS Aggarwal Class 12 Chapter 15.

## RS Aggarwal Class 12 Solutions Chapter 16: Definite Integrals

The topics included in this chapter are Definite Integral as the Limit of a Sum, Irrational or Rational expressions of Definite Integral and properties of the definite integrals.

**Number of Exercises: **There are 4 exercises in Chapter 16 Definite Integrals.

**Number of Questions: **The four exercise solutions contain all the 94 questions mentioned in the RS Aggarwal book Chapter 16

## RS Aggarwal Class 12 Maths Solutions Chapter 17: Area of Bounded Regions

Chapter 17 of RS Aggarwal class 12th is an application of the integral calculus that has been covered so far. You will learn about the area between two curves. The other topics that are covered in this chapter include the area of an ellipse, you will also get to practice how we can apply the concept of area bounded region to check the symmetry of a given curve.

**Number of Exercises: **All the topics are covered in 1 exercise of the chapter.

**Number of Questions: **You will get 20 sets of questions in the exercise solutions with a diverse pattern of questions to help you prepare well for your exams.

## RS Aggarwal Class 12 Maths Solutions Chapter 18: Differential Equations and Their Formation

The topics such as the formation of Differential Equations and the types of differential equations such as homogeneous and non-homogeneous, linear and nonlinear, ordinary and partial are of vital importance with respect to their applications in the practical life as well as its weightage in the exams.

**Number of Exercises: **There are 3 exercises in chapter 18 of RS Aggarwal solutions book for Class 12 Maths

**Number of Questions: **There are 26 questions in this Chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 19: Differential Equations with Variable Separable

The topics covered in the chapter 19 include an introduction to differential calculus and the algorithmic steps to evaluate general solutions for given differential calculus. Differential Equations with Variable Separable is the most common method used to find the solutions of Differential Equations.

**Number of Exercises: **All the new patterns of questions are covered in 2 exercises in this chapter.

**Number of Questions: **The exercises constitute a total number of 28 questions in this chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 20: Homogeneous Differential Equations

You will be introduced to Homogeneous Differential Equations in-depth and learn about homogeneous differential equations of the first order and how to convert a differential equation into a homogeneous equation and the essential conditions of its definition.

**Number of Exercises: **There is one exercise which has considered all the possible patterns of recurring questions from the previous year question papers.

**Number of Questions: **All the 15 questions are covered in the solutions of this chapter provided by Instasolv.

## RS Aggarwal Class 12 Maths Solutions Chapter 21: Linear Differential Equations

In the chapter 12 of RS Aggarwal book, you will learn to evaluate the solutions of different kinds of linear equations.

**Number of Exercises: **There is 1 exercise in the RS Aggarwal Class 12 Chapter 21 of Maths book.

**Number of Questions: **The exercise solutions comprises 20 questions in this chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 22: Vectors and Their Properties

You will be introduced to vectors in detail and their properties and the difference between the unit vector and a given vector by solving the exercise questions.

**Number of Exercises: **There is 1 exercise in this introductory chapter of vectors.

**Number of Questions: **There number of questions in the exercise of this chapter is 12.

## RS Aggarwal Class 12 Maths Solutions Chapter 23: Scalar or Dot Product of Vectors

The topics covered in chapter 13 are the procedure of multiplication of two vectors to get its scalar product and finding the projection of one vector over another vector which is given by the product of the magnitude of the first vector and the cosine of the angle between the two vectors.

**Number of Exercises: **There is 1 exercise in this chapter.

**Number of Questions: **There are 34 questions in the exercise solutions of this chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 24: Vector or Cross Product of Vectors

You will be introduced to the cross product of two vectors and the direction of the resultant in this chapter and its physical representation of vectors and properties along with their applications.

**Number of Exercises: **The topics are compiled together in 1 exercise of this chapter.

**Number of questions: **You will be able to build a strong base for vectors if you are able to practice the 13 questions in this chapter with the aid of our solutions.

## RS Aggarwal Class 12 Maths Solutions Chapter 25: Product of Three Vectors

The questions in this chapter are an application of the cross product and scalar product that you learnt in the previous chapters. Other topics covered are finding the volume of a parallelepiped with the product of three vectors and the properties of the scalar triple product.

**Number of Exercises: **There are 2 exercises designed in chapter 25 for a detailed coverage of methods of solving the problems of this chapter.

**Number of Questions: **There are a total of 24 questions solved in this source of reference provided by Instasolv.

## RS Aggarwal Class 12 Maths Solutions Chapter 26: Fundamental Concepts of 3-D Geometry

The topics included in RS Aggarwal Class 12 chapter 26 are the distance between two points, division of a line joining two points, direction cosines and direction ratios of a straight line in the cartesian plane and the area of a triangle.

**Number of Exercises: **There is 1 exercise in the RS Aggarwal Book of Class 12 Chapter 26.

**Number of Questions: **There are 18 detailed questions in the exercise solutions by Instasolv.

## RS Aggarwal Class 12 Maths Solutions Chapter 27: Straight Line in Space

The cartesian representation of the vector form of a straight line is explained in the given chapter. You will also learn the concepts of angles made by straight lines in space.

**Number of Exercises: **There are 7 detailed exercises in this chapter to assist you in the rigorous practice of the application of concepts.

**Number of Questions: **119 questions have been solved by the experts of Instasolv to guide you through the difficult topics of this chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 28: The Plane

You will learn new concepts such as coplanarity of two lines, the angle between two planes, the distance of a point from a given plane, etc. in this chapter of RS Aggarwal Class 12.

**Number of Exercises: **There are 11 exercises in this chapter.

**Number of Questions: **There are a total of 181 questions covered in this chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 29: Probability

You will be introduced to the advanced concepts of Probability in this chapter which will help you solve the important questions in the competitive exams.

**Number of Exercises: **There are 2 exercises covering all kinds of questions in this chapter.

**Number of Questions: **22 questions are covered in this chapter to help you in quick revision before your exams covering all important topics.

## RS Aggarwal Class 12 Maths Solutions Chapter 30: Bayes Theorem and Its Applications

Bayes’ Theorem is based on conditional probability. You will learn to find the probability of occurrence of a given event taking into consideration other conditions that may have an influence on the event.

**Number of Exercises: **There is 1 exercise in the chapter.

**Number of Questions: **All the 18 questions of the exercise have been covered in detail in the solutions of this chapter by Chapter 30.

## RS Aggarwal Class 12 Maths Solutions Chapter 31: Probability Distribution

Chapter 31 covers topics such as random variables and their probability distribution, the mean and variance of the random variable.

**Number of Exercises: **1 exercise has been designed to contain all the important topics of Probability Distribution.

**Number of Questions: **There are 19 questions in the exercise solutions of this chapter.

## RS Aggarwal Class 12 Maths Solutions Chapter 32: Binomial Distribution

This chapter will introduce you to the concept of Binomial distribution and Bernoulli trials, and the algorithms for solving the questions of this chapter.

**Number of Exercise: **There is 1 exercise in this chapter.

**Number of Questions: **There are 5 questions in total in Chapter 32.

## RS Aggarwal Class 12 Maths Solutions Chapter 33: Linear Programming

You will get to solve optimization problems in this chapter. This is a fun and scoring chapter which you should definitely practice from the RS Aggarwal Class 12 Chapter 33 Solutions by Instasolv to get full marks from this topic.

**Number of Exercises: **There are 2 exercises in this chapter.

**Number of Questions: **There are 54 questions compiled to cover all the important questions in this chapter.

### What makes it Important to Practice RS Aggarwal Solutions for Class 12 Maths

- It is crucial that you practice each question from these sets of RS Aggarwal Exercises to gain absolute clarity of the topics of your syllabus.
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### Benefits of RS Aggarwal Solutions for Class 12 Maths by Instasolv

- Instasolv’s online platform is dedicated to giving the students the best online help in regards to their syllabus.
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