# RS Aggarwal Class 11 Solutions

RS Aggarwal Class 11 Maths Solutions are a perfect resource for you if you want to study for CBSE and entrance exams like IIT-JEE and NEET. The RS Aggarwal Maths book for Class 11 contains around 33 chapters on topics like sets, relations, functions, linear equations in one variable, combinations, binomial theorem, etc. The chapters are entirely based on the latest pattern of CBSE and are suitable for entrance exam preparation. All these chapters have more than 100 questions each with plenty of solved examples that you can practice to score more in your final exams.

If you have been facing issues in solving the questions then you can easily refer to RS Aggarwal solutions for Class 11 Maths by Instasolv. We have the best Maths teachers who prepare the solutions only after thorough research. The RS Aggarwal Class 11 Solutions are comprehensive and easy for you to understand. Every solution is given in simple language. You will be able to understand each solution stepwise.

For any competitive exam as well CBSE exams, our RS Aggarwal Class 11 Maths Solutions is one of the important study material that you can refer. We understand that students develop some issues while solving the questions but our subject matter experts are always here to help you with all the challenges.

## RS Aggarwal Class 11 Solutions Chapter 1 – Sets

**Definition **– you will learn about the definition of the set and how and where sets are used.

**Depiction of set – **under this category you will learn how to represent a set in 2 forms that is roster and set builder form.

**Intervals – **this category teaches you about interval notation and how it is related to sets.

**Types of sets – **This set teaches you about different types of sets. The sets are null set, finite set, infinite set, equal set, subset, power set, universal set.

**Union, intersection and Difference of sets – **explanation and its questions.

**Venn diagram – **you will know about venn diagram and how it represents intersection, union, difference of sets in the venn diagram.

**Complement of set – **This category will teach you about how to find complement and how to represent the complement of set in a venn diagram.

**Number of elements formula – **You will learn how to use the number of elements formula for 2 and 3 sets.

**Proof questions – **you will know how to solve proof questions by using properties of sets. And you will know how to apply different properties of sets.

**Total Number of questions in Chapter 1: **This chapter has around 8 exercises each with more than 100 questions.

## RS Aggarwal Class 11 Solutions Chapter 2 – Relations

**Cartesian products of sets** **–** You will know how to find cartesian products. Also, about what is an ordered pair, finding sets if the cartesian product is equal, how to find cartesian product of 3 sets, finding a number of elements in a cartesian product, doing intersection and union with cartesian product

**Relations – **what is relation, what is domain, range, codomain of a relation

Representing relations using arrow diagram, set-builder from, roster form.

Finding number of relations.

**Total Number Of Questions in Chapter 2: **This chapter of RS Aggarwal Solutions for Class 11 Maths has around 5 exercises and an approximate of 100 questions in total. All these questions will help you understand all the concepts easily.

## RS Aggarwal Class 11 Solutions Chapter 3 – Functions

**Function –** what is a function, checking if a relation is a function,

**Graphs of some functions – **like identity function, constant function, polynomial function, modulus function, signum function, greatest integer function

Finding domain and range of function using graphs, and the general method.

We also study algebra of functions where we learn addition, multiplication, subtraction, division of function.

**Total numbers of questions in Chapter 3: **This chapter has around 6 exercises with almost 100 questions. The exercises are designed in a manner that you will understand each and every topic properly.

## RS Aggarwal Class 11 Solutions Chapter 4 – Principles of Mathematical Motivation

In the world of mathematics, a factor known as motivation is used as a form of complete induction known as mathematical induction.

**Illustration: **you will learn about how to prove a formula and how an equation is derived. Also, you will know how to verify a statement by applying the right logic.

**Principle of mathematical induction: **this topic will focus on telling you about the principles of mathematical induction, how to derive it and how to use a formula.

**Total number of questions in Chapter 3: **This chapter has 5 exercises with approximately 120 questions.

## RS Aggarwal Class 11 Solutions Chapter 5 – Complex Numbers And Quadratic Equation

In this chapter you will learn about complex numbers and their properties. Moreover you will know different complex concepts like addition of complex numbers, different complex numbers, multiplication of complex numbers and their division. Complex numbers have their own set of properties which will make this chapter lengthy for you.

**Total Number Of Questions in Chapter 5: **The chapter 5 complex number and the quadratic equation has around 7 exercises in total with an approximate of more than 145 questions.

## RS Aggarwal Class 11 Solutions Chapter 6,7- Linear Inequalities in One and Two Variables

RS Aggarwal chapters 6 and 7 are Linear inequalities in one variable and linear inequality in two variables. Different topics are 2covered in both the chapters and contain questions from basic to advance levels. The topics in chapters include:

- How to solve a linear inequality
- Solving linear inequality in the number line
- How to make linear inequality from statements, and solving
- How to solve a pair of linear inequalities
- Solving a pair of linear inequalities in the number line
- How to make a pair of linear inequalities from statements, and solving
- How to find a graphical solution of linear inequality (x + y = >5)
- Solving the graphical solution of linear inequalities (x + y = >5 and x + 2y = <3)

**Total number of Questions in Chapter 6,7: **Chapter 6 has around 2 exercises that are 6A and 6B with 58 questions in total. On the other hand, Chapter 7 has only one exercise with a total 12 questions. The questions are based on graphs and you have to solve each and every question in detail.

## RS Aggarwal Class 11 Solutions Chapter 8 – Permutations

Topics in the chapter includes

- You will know about factorial notation?
- Fundamental principle of counting (or the multiplication principle)
- What do you mean by permutation?
- How to solve questions using permutation formula, npr
- Solving permutation questions when objects are repeating

**Total number of Questions in Chapter 8: **This chapter has around 7 exercises with approximately 60 questions.

## RS Aggarwal Class 11 Solutions Chapter 9 – Combinations

The topics in the chapter include

- Definition of combinations
- What is the difference between permutation and combination
- How to solve questions using combinations property
- Solving questions using combinations formula
- How to solve questions with both permutation and combinations

**Total number of Questions in Chapter 9: **This chapter has only 4 exercises covering around 70 questions.

## RS Aggarwal Class 11 Solutions Chapter 10 – Binomial theorem

In this chapter, you will learn different topics like

- What is the Binomial Theorem?
- Total number of terms in Binomial Theorem
- How to solve expansions
- How to find larger numbers making use of Binomial Theorems
- How to solve proofs using Binomial Theorems
- What is the general term of a Binomial theorem
- How to find coefficient of a term
- Middle term of a binomial theorem

**Total number of Questions in Chapter 10: **This chapter has only two exercises with around 60 questions that cover all the topics of the chapter.

## RS Aggarwal Class 11 Solutions Chapter 11- Arithmetic Progression

The topics covered in this chapter are

- Arithmetic progression
- Properties of arithmetic progression
- Problems based on AP
- Sum of n terms of an AP

**Total number of Questions in Chapter 11: **This chapter has around 6 exercises, 11A, 11B, 11C, 11D, 11E, 11F. There are around 80 questions in the six exercises.

## RS Aggarwal Class 11 Solutions Chapter 12 – Geometrical Progression

The topics this chapter include

- What is Geometrical progression?
- nth term from the end of a GP
- Different Problems on geometrical progression
- Different Word problems on GP
- Meaning of geometric
- Infinite geometric series

**Total number of Questions in Chapter 12: **This chapter has 8 exercises with more than 100 questions. These questions range from basic to advance level.

## RS Aggarwal Class 11 Solutions Chapter 13- Some Special Series

The topics this chapter include

- Sum of first natural n numbers
- You will know how to find the Sum of the squares of first n natural numbers
- Find the Sum of the cubes of first n natural numbers
- Sum of the cubes of first n odd natural numbers

**Total number of Questions in Chapter 13: **This chapter consists of 2 exercises with around 50 questions in total that cover all the topics of the chapter in different questions.

## RS Aggarwal Class 11 Solutions Chapter 14- Measurement of Angles

The topics this chapter include

- What are Positive and negative angles?
- How to Measure angles?
- What is the Relationship between degree and radian?

**Total number of questions in Chapter 14: **This chapter has only one exercise with 6 questions.

## RS Aggarwal Class 11 Solutions Chapter 15- Trignometric or circular Functions

The topics this chapter include

- What are Trigonometric functions?
- All about Periodic functions
- Trigonometric functions of sum and difference of numbers
- Some more trigonometric functions
- Trigonometric functions of multiples of angles

**Total number of Questions in Chapter 15: **This chapter has around 5 exercises that cover more than 50 questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 16- Conditional Identities involving the Angles of a Triangle

The topics this chapter include

- Identities involving sines and cosines
- Identities involving squares of sines and cosines
- Identities involving tangent

**Total number of Questions in Chapter 16: **This chapter has only one exercise with 12 questions in total. The chapter is a bit short.

## RS Aggarwal Class 11 Maths Solutions Chapter 17- Trigonometric Equations

The topics this chapter include

- Trigonometric equations
- Solution of trigonometric equation
- Principle solution
- General solution
- General solution of trigonometric equation

**Total number of Questions in Chapter 17: **This chapter has only one exercise with around 21 questions in total that are based on the trigonometric equations.

## RS Aggarwal Class 11 Maths Solutions Chapter 18- Solution of Triangles

The topics this chapter include

- Introduction
- Oblique triangle
- Sine formula
- Cosine rule
- Napier’s analogies
- Problems based on sine and cosine formula

**Total number of Questions in Chapter 18: **This chapter has only two exercises with around 25 questions in total. These questions are entirely based on triangles and its different rules.

## RS Aggarwal Class 11 Maths Solutions Chapter 19- Graphs of Trigonometric Functions

The topics this chapter include

- Graph of y= sin x
- Graph of y= cos x
- Graph of y= a sin bx
- Graph of y= a cos bx

**Total number of Questions in Chapter 19: **This chapter has only one exercise that contains 7 questions. You will have to draw graphs based on the situation given to you.

## RS Aggarwal Class 11 Maths Solutions Chapter 20- Straight Lines

The topics this chapter include

- Introduction to straight line
- Slope of a line
- Various forms of equations of a line
- Equations of a line in slope intercept form as well as in intercept form
- General equation of a line
- Distance of a point from a line
- Distance between parallel line
- Shifting of origin

**Total number of Questions in Chapter 20: **This chapter has around 11 exercises with more than 100 questions. All the questions are based on the latest CBSE exam pattern and contain some previous years important questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 21- Circles

The topics this chapter include

- Circle introduction
- Equation of a circle in standard form
- Equation of a circle, the end points of whose diameter are given
- General equation of a circle

**Total number of Questions in Chapter 21: **This chapter has around two exercises with around 25 questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 22- Parabola

The topics this chapter include

- Parabola introduction
- Intersection of nappes of a cone and a plane
- Right-handed parabola
- Length of latus rectum
- Left-handed parabola
- Upward parabola
- Downward parabola

**Total number of Questions in Chapter 22: **This chapter has only 10 questions based on the topic parabola.

## RS Aggarwal Class 11 Maths Solutions Chapter 23- Ellipse

The topics this chapter include

- Ellipse introduction
- Standard equation of an ellipse
- Horizontal ellipse
- Vertical ellipse

**Total number of Questions in Chapter 23: **This chapter has only 15 questions that are quite important.

## RS Aggarwal Class 11 Maths Solutions Chapter 24- Hyperbola

The topics this chapter include

- Introduction of Hyperbola
- Standard equation of a hyperbola
- Latus rectum of a hyperbola
- Horizontal hyperbola
- Vertical hyperbola

**Total number of Questions in Chapter 24: **This chapter has only one exercise with 24 questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 25- application of conic section

This chapter include topics like

**Parabola- equation of parabola, its directrix, eccentricity and focus**

**Circle- find equation of circle, center of circle**

- Ellipse- equation of ellipse, its directrix, eccentricity, focus and vertices

- Hyperbola- equation of hyperbola, its directrix, focus and vertices

- Other questions like mirror problem, triangle in parabola problems, beam problem, locus, path trade problems

**Total numbers of Questions in Chapter 25: **This chapter has only one exercise with 4 questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 26- introduction to three Dimensional Geometry

The topics this chapter include

- you will learn about x,y,z axis,
- The 8 octant
- What are the coordinates of points in a three dimensional space
- You will see that

- Point on x- axis is of the form(x,0,0)
- Point on y- axis is of the form(0,y,0)
- Point on z- axis is of the form(0,0,z)

- You will also learn the distance formula for 3D points, and do some questions
- Then, you will see section formula for points of the types (x, y, z) both internal and external division

**Total number of Questions in Chapter 26: **This chapter has 3 exercises with 25 questions only.

## RS Aggarwal Class 11 Maths Solutions Chapter 27- Limits

This chapter include topics like

- Limit introduction
- Concepts of limit
- Rule of finding limit
- Fundamental theorems of limit
- Limit of a function

**Total number of questions in Chapter 27: **This chapter has only 3 exercises with 20 Questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 28- Differentiation

The topics this chapter include

- Differentiation introduction
- Derivative if a function
- Differentiation from first principle
- Derivative of the product of function
- Derivative of the quotient of two functions

**Total number of Questions in Chapter 28: **This chapter has only 5 exercises with 60 Questions.

## RS Aggarwal Class 11 Maths Solutions Chapter 29- Mathematical Reasoning

The topics this chapter include

- Mathematical reasoning introduction
- Sentences classification
- Statements
- Logic connectives
- Compounding of sentences
- Quantifiers and quantified statements
- Conditional and biconditional statements
- Validating statements

**Total numbers of Questions in Chapter 29: **This chapter has only 4 exercises with 50 Questions

## RS Aggarwal Class 11 Maths Solutions Chapter 30- statistics

This chapter include chapters like

- Statistics introduction
- Mean deviation
- Mean deviation for discrete frequency distribution
- Variance and standard deviation
- Coefficient of variance

**Total number of Questions in Chapter 30: **This chapter has only 4 exercises with 50 Questions

## RS Aggarwal Class 11 Maths Solutions Chapter 31- probability

The topics this chapter include

- Probability introduction
- Sample space
- Events
- Mutually exclusive events
- Probability of an event
- Theorems for two and three events

**Total number of Questions in Chapter 31: **This chapter has only 2 exercises with 20 Questions

### RS Aggarwal Solutions for Class 11 Maths by Instasolv

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