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NCERT Solutions for Class 11 Maths Chapter 1 Sets - PDF Download

JEE Mains & Advanced

NCERT solutions for class 11 mathematics chapter 1 Sets will introduce the fundamental definitions and various operations associated with sets. A set is a defined collection of objects. In NCERT solutions of chapter 1, you will learn how functions and relations concepts work in sets. It is essential to acquire a basic understanding of Sets, as the study of sequence, geometry and probability necessitates it. NCERT solutions for class 11 maths chapter 1 have well-organized resources that provide an easy-to-understand learning method with interesting illustrations. These solutions allow for the strategic learning of each concept through the use of progressively placed examples.

NCERT solutions for class 11 maths chapter 1 Sets will help you develop your data analysis skills that will be beneficial in higher education. It is important for every student to learn about the components of sets and the operations performed on them. With the daily practice of class 11 maths NCERT solutions chapter 1, students will be able to easily learn the operations on sets. Check out the NCERT solutions free downloadable pdf developed by the mathematics expert team at eSaral. Here, you'll find all the NCERT solutions you need for class 11. These solutions of Chapter 1 set will help you understand the fundamentals of sets, which will be beneficial for your further maths classes. 

Important Topics covered in Chapter 1 - Sets

Here, eSaral offers a comprehensive set of concepts and solutions in an innovative and logical manner for chapter 1 Sets. This chapter covers some of the most important topics and related sub-topics.

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

1.6.1 Subsets of set of real numbers

1.6.2 Intervals as subsets of R

1.7 Universal Set

1.8 Venn Diagrams

1.9 Operation on sets

1.9.1 Union of sets

1.9.2 Intersection of sets

1.9.3 Difference of sets

1.10 Complement of a set

1.1 Introduction - In this section, you’ll find the definition of sets, their origins, basic definitions, and their uses.

1.2 Sets and their Representations - Students gain an in-depth understanding of the definition of a set, and how it may be represented in a roster, set-builder format and represented using English alphabetical notation.

1.3 The Empty set - This section provides an explanation of the concept of an empty set.

1.4 Finite and Infinite sets - Students can gain an understanding of finite sets and infinite sets and their examples.

1.5 Equal Sets - Students learn about sets that are equal and unequal, along with problem-solving examples.

1.6 Subsets 

             1.6.1 Subsets of set of real numbers

             1.6.2 Intervals as subsets of R

In this section, you will learn about subsets of sets of real numbers and intervals as subsets of R.

1.7 Universal Set - This section is really helpful because it uses real-world examples like population studies to show how to define a set and how to represent it with a letter.

1.8 Venn Diagrams - This section provides an overview of the Venn diagram, including its origins and definition, as well as its use of the above-mentioned topics and subtopics.

1.9 Operation on sets

             1.9.1 Union of sets

             1.9.2 Intersection of sets

             1.9.3 Difference of sets

This introduces abstract operations on sets, such as the union of sets, the intersection of sets and the difference of sets.

1.10 Complement of a set - Once students have completed this section, they are able to comprehend the definition and characteristics of a complement of a set, as well as the examples and practice problems associated with it.

NCERT Solutions for Class 11 Maths Chapter 1 Exercises

NCERT solutions for class 11 math chapter 1 exercises are a must for students to strengthen their knowledge of basic concepts. Let’s take a closer look at the exercises mentioned in this chapter and their NCERT solutions.

Exercise 1.1

6 Questions & Solutions

Exercise 1.2

6 Questions & Solutions

Exercise 1.3

8 Questions & Solutions

Exercise 1.4

12 Questions & Solutions

Exercise 1.5

7 Questions & Solutions

Miscellaneous Exercise

10 Questions & Solutions

Benefits of Downloading The NCERT Solutions for Class 11 Maths Chapter 1- Sets

NCERT solutions for class 11 maths chapter 1 Sets are very important and provide several advantages to students. Here, we will discuss the advantages of downloading and implementing chapter 1 solutions of NCERT for class 11.

  1. NCERT solutions for class 11 maths chapter 1 provides Questions with detailed solutions that are easy to understand and apply.

  2. With NCERT solutions of chapter 1 sets, you’ll be able to reinforce your core set concepts, which are essential for understanding relations and functions. 

  3. Students can trust that the answers they get from NCERT Solutions are correct and verified by subject matter experts.

  4. NCERT Solutions give you quick and easy ways to solve questions, so you don't waste time during exams.

  5. Students can take advantage of downloadable NCERT Solutions to learn at their own speed and also they can revisit topics which they find difficult and progress quickly through established concepts.

Frequently Asked Questions

Question 1. What topics are included in NCERT solutions class 11 maths chapter 1?

Answer 1. The NCERT solutions for class 11 Maths Chapter 1 includes the following topics:

  1. Introduction

  2. Sets and their Representations

  3. The Empty set  

  4. Finite and Infinite sets

  5. Equal Sets

  6. Subsets - 

                 6.1 Subsets of set of real numbers     

                 6.2  Intervals as subsets of R

  1. Universal Set

  2. Venn Diagrams

  3. Operation on sets

                9.1 Union of sets

                9.2 Intersection of sets

                9.3 Difference of sets

  1. Complement of a set

Question 2. What are the applications of Sets in chapter 1?

Answer 2. Chapter 1 sets in Class 11 have a wide range of applications, not only in Mathematics, but also in practical situations. They are used in many different fields of Mathematics, including topology and calculus, algebras, and geometrics. In addition to this, sets are also used in a number of other areas such as physics, chemistry, computer science, electrical engineering, and biology.