NCERT Solutions For Class 11 Maths Chapter 1 Sets are prepared by our expert faculty at BYJU’S. These NCERT Solutions of Maths help the students in solving the problems adroitly and efficiently. Also, BYJU’S focuses on building step by step solutions for all NCERT problems in such a way that it is easy for the students to understand.
Sets are used to define the concepts of functions and relations, some of which are covered in Chapter 1 of the NCERT textbook. The Class 11 Maths Chapter 1of NCERT also has some basic definitions and operations involving the sets. It is necessary to get fundamental knowledge on Sets since the study of sequences, geometry, and probability requires it. However, this is an easy chapter among all the chapters of NCERT to score maximum marks in the board examination. These NCERT Solutions of BYJU’S help the students who are looking for a quick and easy way of solving.
Access Answers of Maths NCERT Class 11 Chapter 1- Sets
NCERT Solutions for Class 11 Maths Chapter 1- Sets
BYJU’S provides all the concepts and solutions for Chapter 1 of Class 11 Maths in a creative and logical way. The PDF of Maths NCERT Solutions for Class 11 Chapter 1 includes the following topics and sub-topics.
This section contains the origin, basic definition and applications of sets.
1.2 Sets and their Representations
Here, students are able to know what a set is exactly and how it can be represented in roster/ set-builder and denoted using the English alphabets.
1.3 The Empty Set
This topic explains when a set is called an empty set.
1.4 Finite and Infinite Sets
Students can learn the definitions and examples of finite and infinite sets.
1.5 Equal Sets
This section gives an idea about equal and unequal sets along with solved examples.
The main concepts covered under this section are:
1.6.1 Subsets of set of real numbers
1.6.2 Intervals as subsets of R
1.7 Power Set
In this section, students are able to know the definition of power set, which has been derived from the concept of subsets.
1.8 Universal Set
This section is well explained with real-life examples such as population studies to define the universal set and representation using a letter.
1.9 Venn Diagrams
This section has the origin and definition of a Venn diagram. Also, it is explained using all the above topics and sub-topics.
1.10 Operations on Sets
We can perform some basic operations on sets similar to the addition or subtraction of numbers. These can be defined as below:
1.10.1 Union of sets
1.10.2 Intersection of sets
1.10.3 Difference of sets
1.11 Complement of a Set
After reading this section, students are able to understand the definition and properties of the complement of a set along with the examples as well as practice problems.
1.12 Practical Problems on Union and Intersection of Two Sets
Enough practice problems are provided under this section to help the students in order to understand in a better way about the union and intersection of two sets. These will help in their further studies to get thorough with the related concepts.
Exercise 1.1 Solutions 6 Questions
Exercise 1.2 Solutions 6 Questions
Exercise 1.3 Solutions 9 Questions
Exercise 1.4 Solutions 12 Questions
Exercise 1.5 Solutions 7 Questions
Exercise 1.6 Solutions 8 Questions
Miscellaneous Exercise On Chapter 1 Solutions 16 Questions
Key Features of NCERT Solutions for Class 11 Maths Chapter 1- Sets
There are 6 exercises and a miscellaneous exercise in this chapter to help students understand the concepts related to Sets in detail. The summary of the topics explained in Chapter 1 of NCERT Solutions for Class 11 Maths is listed below:
- A well-defined collection of objects is called a set.
- If a set does not contain any element, then it is called an empty set.
- Finite set: A set which consists of a definite number of elements
Infinite set: A set which consists of an infinite number of elements
- Two sets A and B are said to be equal if they have the same elements.
- A set A is said to be a subset of a set B if every element of A is also an element of B. Intervals are subsets of R.
- A power set of a set A is a collection of all subsets of A. It is denoted by P(A).
- The union of two sets A and B is the set of all those elements which are either in A or B.
- The intersection of two sets A and B is the set of all elements which are common. The difference of two sets A and B in this order is the set of elements which belong to A but not to B.
- The complement of a subset A of universal set U is the set of all elements of U which are not the elements of A.
- For any two sets A and B, (A ∪ B)’ = A′ ∩ B′ and ( A ∩ B )′ = A′ ∪ B′.