Subject specialists have created NCERT Solutions for Class 11 Maths Chapter 1:Sets, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Solutions for Class 11 provide useful solutions for improving conceptual knowledge.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Solutions for Class 11. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 11 pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
NCERT Solutions for Class 11 Maths Chapter 1 – Sets
It contains all the concepts and solutions for Chapter 1 of Class 11 Maths in an innovative and logical way. The topics and sub-topics included in Maths NCERT Solutions for Class 11 Chapter 1 are as follows.
1.1 Introduction
In this section, the origin, basic definition, and applications of sets are given.
1.2 Sets and their Representations
In this section, students come to know exactly about sets and their representation in roster/ set-builder and also its representation in the English alphabets.
1.3 The Empty Set
This section explains what is an empty set.
1.4 Finite and Infinite Sets
The finite and infinite sets with help of definitions and examples are explained here.
1.5 Equal Sets
The equal and unequal sets along with solved examples are explained here.
1.6 Subsets
The concepts covered under this section are as follows:
1.6.1 Subsets of a set of real numbers
1.6.2 Intervals as subsets of R
1.7 Power Set
Students come to learn about power sets, which are explained using the concept of subsets in this section.
1.8 Universal Set
In this section, students learn about the definition of a universal set with real-life examples such as population studies and representation of a universal set using a letter.
1.9 Venn Diagrams
Here, the origin and definition of a Venn diagram are explained. It is explained by using all the above topics and sub-topics.
1.10 Operations on Sets
Basic operations on sets are performed which are similar to the addition or subtraction of numbers. The operation on sets includes the following topics:
1.10.1 Union of sets
1.10.2 Intersection of sets
1.10.3 Difference of sets
1.11 Complement of a Set
In this section, students learn about the definition and properties of the complement of a set with examples and practice problems.
1.12 Practical Problems on Union and Intersection of Two Sets
In this section, students learn about the union and intersection of two sets more clearly with the help of enough practice problems. It helps the students in their further studies to get through 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
This chapter contains 6 exercises and a miscellaneous exercise with the help of which students get detailed knowledge about the concepts of Sets of the first term Class 11 Maths CBSE Syllabus (2021-22).
The summary of the topics which are explained in NCERT Solutions for Class 11 Chapter 1 Maths are as follows:
- A set is defined as a well-defined collection of objects.
- Any set which does not contain any element is known as an empty set.
- Finite set: A set that contains a definite number of elements is known as a finite set.
Infinite set: A set that contains an infinite number of elements is known as an infinite set.
- If sets A and B have the same number of elements then sets A is equal to sets B.
- If every element of set A is also an element of set B then set A is a subset of set B. So, Intervals are said to be subsets of R.
- The collection of all subsets of A is a power set of a set A. The power set is denoted by P(A).
- The set of all those elements which are either in set A or set B is the union of two sets A and B.
- The set of all those elements which are common in set A and set B are the intersection of two sets A and B. And the set of all those elements that belong to A but not B is the difference between the two sets A and B.
- The set of all elements of U which are not the elements of A is the complement of a subset A of universal set U.
- For the set A and set B, (A ∪ B)’ = A′ ∩ B′ and ( A ∩ B )′ = A′ ∪ B′.
Frequently Asked Questions on NCERT Solutions for Class 11 Maths Chapter 1
- What are the topics covered in Chapter 1 of NCERT Solutions for Class 11 Maths?
- How many problems are there in each exercise of NCERT Solutions for Class 11 Maths Chapter 1?
- What applications of Sets are discussed in Chapter 1 of NCERT Solutions for Class 11 Maths?
1. What are the topics covered in Chapter 1 of NCERT Solutions for Class 11 Maths?
The topics which are covered in Chapter 1 of NCERT Solutions for Class 11 Maths are as follows:
- Introduction
- Sets and their representations
- The Empty Set
- Finite and Infinite Sets
- Equal Sets
- Subsets
- Power Set
- Universal Set
- Venn Diagrams
- Operations on Sets
- Complement of a Set
- Practical problems on Union and Intersection of Two Sets.
2. How many problems are there in each exercise of NCERT Solutions for Class 11 Maths Chapter 1?
Continuous practice of the problems given in the exercise helps students to improve the concepts in a better way. The number of questions available in the exercises of Chapter 1 is listed below:
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
3. What applications of Sets are discussed in Chapter 1 of NCERT Solutions for Class 11 Maths?
The Sets are used in daily real-life and Mathematics. Sets play a vital role in the formulae used in calculus, topology, geometry, and also in the algebra around fields, rings, and groups. It has applications in other fields also like Physics, Chemistry, Electrical Engineering, Computer Science, and Biology.
