# NCERT Solutions for Class 11 Maths Chapter 1 Sets

NCERT Are you preparing yourself for a new chapter i.e., Class 11? Yes. Class 11 will be a different ball game and get ready to face new challenges. Today we have come up with a chapter from the NCERT textbook and it has been explained with proper illustrations by the experts.

The blog has been structured for Class 11 Maths NCERT Solutions. You can easily prepare for your the upcoming class 11 maths exams with this. Read the complete blog for details.

## NCERT Solutions for Class 11 Maths Chapter 1 – Sets

NCERT Solutions for Class 12 Maths Chapter 1 focuses on Sets. In the NCERT textbook, the important aspects of Sets concerning the concepts of functions and relations have been presented in a way that will be beneficial for the students.

There are some basic definitions and operations which are connected with the sets and referring to the NCERT textbook helps to understand each section in a better way.You will be able to solve all kinds of tricky questions from the first chapter.

## Topics Covered in NCERT Class 11 Maths Chapter 1 Sets?

You will come across the questions from the following sub-topics in the NCERT solutions-

Here are the topics/ subtopics of the chapter:

• 1.1 Introduction
• 1.2 Sets and their Representations
• 1.3 The Empty Set
• 1.4 Finite and Infinite Sets
• 1.5 Equal Sets
• 1.6 Subsets
• 1.7 Power Set
• 1.8 Universal Set
• 1.9 Venn Diagrams
• 1.10 Operations on Sets
• 1.10.1 Union of sets 1.10.2 Intersection of sets
• 1.10.3 Difference of sets 1.11 Complement of a Set
• 1.12 Practical Problems on Union and Intersection of Two Sets

#### NCERT Solutions For Class 11 Maths Chapter 1 Exercise-wise listing

There are a total of six exercises along with miscellaneous exercises. Here is the number of

questions which you can expect from each exercise.

• Exercise 1.1 – 6 Questions
• Exercise 1.2 -6 Questions
• Exercise 1.3 – 9 Questions
• Exercise 1.4 – 12 Questions
• Exercise 1.5-7 Questions
• Exercise 1.6 -8 Questions
• Miscellaneous Exercise:16 Questions

### Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.1

The first exercise of Chapter 1 of NCERT Class 11 Maths throws light on the basic introduction to sets and their representation. The differences between roster form or builder form of sets have been pointed out. In this exercise, the students are asked to match identical sets in various forms which will boost their level of confidence and it will also help them to shape their methods of preparation.

### NCERT Solutions Class 11 Chapter 1 Exercise 1.2

The second exercise concentrates on the solutions which will help to know the concept of the null set. In addition to this, you will get to learn about the finite and infinite sets. For example, a set of months of the year is a finite set because such a set will have only 12 elements only. On the other hand, a set of natural numbers is an infinite set. A student will also get enough inputs regarding the equal sets and their properties.

### Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.3

Here questions on forms of sets are placed in NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.3. The symbols are explained in the NCERT Class 11 Maths textbook with the help of illustrations. You will get to know about a part of a set called a subset with the help of some problems mentioned in the exercise. For instance Set of vowels is a subset of a set consisting of the English alphabets

### Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.4

This exercise of Maths NCERT Class 11 Solutions will highlight the important parts of the set theory ie., the union of two or more sets. You will learn about the symbol of the union which is ‘U and various properties of the union set. For example, you will gain knowledge about the commutative property, associative property, identity properties, distributive and intersection properties of a union set.

### Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.5

NCERT Solutions For Class 11 Maths Chapter 1 Exercise 1.5 focuses on a lot of complex problems concerning the usage of the union set with the answers. For instance, the value of the union is provided and you are asked to work out the value of different sections of the set This requires a great understanding of the Venn diagram, complementary sets and universal sets.

### Class 11 Maths NCERT Solutions Chapter 1 Exercise 1.6

NCERT Class 11 Maths Chapter 1 Exercise 1.6 talks about the intersection between two or more sets. In this exercise, you will learn about the properties of an intersection set, such as commutative property, associative properties, identity property, distributive intersection properties along with their application. You will also know the complex problems that require the use of properties of a union and intersection.

### NCERT Solutions For Class 11 Maths Chapter 1 Miscellaneous Exercise

Class 11 Math Solutions Miscellaneous exercise is probably the best way to complete your preparation. It consists of all the complex questions and you will come across all possible answers and for this reason, you must get a copy of the NCERT textbook.

## Theorems and formulas used in CBSE Class 11 Maths Chapter 4

Here you can check the Theorems and formulas used in CBSE Class 11 Maths Chapter 4

Idempotent Laws: For any set A, we have

• A ∪ A = A
• A ∩ A = A

Identity Laws: For any set A, we have

• A ∪ Φ = A
• A ∩ U = A

Commutative Laws: For any two sets A and B, we have

• A ∪ B = B ∪ A
• A ∩ B = B ∩ A

Associative Laws: For any three sets A, B and C, we have

• A ∪ (B ∪ C) = (A ∪ B) ∪ C
• A ∩ (B ∩ C) = (A ∩ B) ∩ C

Distributive Laws: If A, B and Care three sets, then

• A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
• A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

De-Morgan’s Laws: If A and B are two sets, then

• (A ∪ B)’ = A’ ∩ B’
• (A ∩ B)’ = A’ ∪ B’

Formulae to Solve Practical Problems on Union and Intersection of Two Sets
Let A, B and C be any three finite sets, then

• n(A ∪ B) = n(A) + n (B) – n(A ∩ B)
• If (A ∩ B) = Φ, then n (A ∪ B) = n(A) + n(B)
• n(A – B) = n(A) – n(A ∩ B)
• n(A ∪ B ∪ C) = n(A) + n(B) + n(C) – n(A ∩ B) – n(B ∩ C) – n(A ∩ C) + n(A ∩ B ∩ C)

## Advantages of following for Class 11 Maths NCERT Solutions Chapter 1 Sets

There are different kinds of benefits for referring to the NCERT solutions and now we will talk about those solutions. You must collect it after you finish your syllabus.

• The students will be able to prepare themselves in a better way when they go through the contents of the solutions.
• The students will be able to cross all the hurdles in the connection concerning sets without any kind of fear.
• All the chapters have been explained with proper illustrations and if you examine the contents carefully you will be left with zero queries.
• You will come across new tricks to work on your methods of preparation and that is the beauty of the following Solution.
• Shaping study materials becomes easier for you when you are ready with solutions.
• You will be able to prepare yourself for competitive exams.

We have covered the complete guide on CBSE NCERT Solutions for Class 11 Maths Chapter 1 Sets. Feel free to ask us any questions in the comment section below.

## FAQs on NCERT Solutions for Class 11 Maths Chapter 1

### How many exercises are there in NCERT Solutions for Class 11 Maths Chapter 1?

In NCERT Solutions for Class 11 Maths Chapter 1, there are 7 exercises, including the miscellaneous exercise.