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Chapter 1 - Sets

In this chapter, you will study what Sets are, their importance in mathematics and day to day lives and various types of sets. A Set is a collection of well-defined distinct objects such as a set of even numbers, set of vowels, set of fruits, set of playlist and more. There are various types of sets and each of them is denoted in its own unique way.

Why it is necessary to study Sets? Sets are the basis for various mathematical concepts such as probability, sequences, geometry, trigonometry and more. Therefore, in-depth knowledge of sets helps understand various other mathematical concepts easily.

Let’s take a look at topics and sub-topics of Class 11 Maths Chapter 1, Sets

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 Set

1.11 Complement of a Set

1.12 Practical Problems on Union and Intersection of Two Sets

In Class 11 Maths Chapter 1, you will learn –

Section 1.2 – In this section, you’ll learn what sets are and various other terms related to sets such as objects and elements. You’ll also study two methods of representing a set.

Section 1.3 – In this section, you’ll learn what empty sets (null or void sets) are and how they are symbolised.

Section 1.4 – In this section, you’ll get a clear understanding of finite sets and infinite sets and how they are symbolised.

Section 1.5 – In this section, you’ll study when two sets are said to be equal and how they are denoted.

Section 1.6 – In this section, you’ll learn what subsets are and concepts like subsets of a set of real numbers and intervals as subsets of R.

Section 1.7 – In this section, you’ll learn about power sets and how they are denoted.

Section 1.8 –In this section, you’ll acquire knowledge about universal sets and how they are symbolised.

Section 1.9 – In this section you’ll learn what Venn Diagrams are, how to draw them, understand them and infer useful information from them.

Section 1.10 – In this section, you’ll perform certain operations on sets such as addition, subtraction, multiplication and division and examine their properties. Also study about the union of sets, the intersection of sets, the difference of sets and more.

Section 1.11 – In this section, learn what the complement of sets is and how it is denoted. Also, learn some properties of the complement of sets.

Section 1.12 – In this section, we will go through some practical problems related to our daily life.

In this chapter, you are provided with several examples along with their solutions for a clear understanding of Sets. To know more about Class 11 Maths Chapter 1 Sets, you should explore the exercises below. You can also download the Sets Class 11 NCERT Solutions PDF, solved by expert Maths trainers.

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