Table of Contents
Subject specialists have created NCERT Exemplar Solutions for Class 11 Maths Chapter 1: Sets, which includes thorough solutions for reference. All of the unsolved questions from the textbook’s exercises are answered here. The NCERT Exemplar Solutions for Class 11 provide useful solutions for improving conceptual knowledge and help in entrance examinations like JEE Mains and Advanced.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar 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.
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 Exemplar Solutions for Class 11 Maths Chapter 1 – Sets 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 elements of set A is also an element of set B then set A is 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. 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 belongs 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 the universal set U.
- For the set A and set B, (A ∪ B)’ = A′ ∩ B′ and ( A ∩ B )′ = A′ ∪ B′.
Frequently Asked Questions
What applications of Sets are discussed in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?
The Sets are used in the daily real life and the Mathematics. Sets plays a vital role in the formulae used in calculus, topology, geometry and also in the algebra around fields, rings, and groups. It has application in other fields also like Physics, Chemistry, Electrical Engineering, Computer Science, and Maths.
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In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.
Question: What are the topics covered in Chapter 1 of NCERT Exemplar Solutions for Class 11 Maths?
Answer: The topics which are covered in Chapter 1 of NCERT Exemplar 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.
Question: How many problems are there in each exercise of NCERT Exemplar Solutions for Class 11 Maths Chapter 1?
Answer: 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
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