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# NCERT Solutions for Class 11 Maths Chapter 1 – Sets

NCERT Solutions for Class 11 Maths Chapter 1 contain the solutions for all the exercises of the chapter. In Chapter 1, you will study how things can be defined into Sets. This chapter forms the foundation for advanced concepts such as relations and functions. So you must solve all the NCERT exercises of the chapter to understand all the topics thoroughly.

CBSE Class 11 NCERT Maths Chapter 1 has 7 exercises with 86 questions in total. The chapter comprises various types of questions such as identifying sets, to define whether a particular item comes under a defined set or not (through Epsilon), identifying items through Roster Form in a set, writing sets in the set-builder form. Some other kinds of questions asked in the chapter are to find out the elements given in a set, selecting equal sets from different kinds of given sets, finding subsets of a given set, etc.

The NCERT Solutions for Class 11 Maths Chapter 1 that we provide contain stepwise solutions. We have added proper explanations with each solution so that you can understand what formulae were used to find the answer. All the solutions that we prepare are checked at multiple levels to ensure that they are 100% accurate.

## Important Topics for NCERT Solution for Class 11 Mathematics Chapter 1 – Sets

To understand the NCERT Solutions for Class 11 Maths Chapter 1, you first need to learn what Sets actually are? Sets are a collection of well-defined elements or objects. By well-defined, it means that any cluster which can be easily and perfectly defined, e.g.- total students of class 11, list of first prime-ministers of countries around the world, the total number of fingers, etc.

Sets are usually depicted through the two curly brackets: {…} and, we write the well-defined elements inside these two curly brackets. One of the most significant points to be noted is that one item in a set is written only once, or we can include two similar items by making some distinction between the two.

Further, the chapter describes the representation of sets and also includes the exercises relating to the conversion of the Roster/Tabular Form to the Set-Builder Form and vice-versa.

The sets are represented by either – (i) Roster Method / Tabular Form

(ii) Set Builder Form

The method of writing all the elements of a set within the bracket is called the Roster/Tabular Form. On the other hand, writing the characteristics of a particular set is called the Set Builder Form.

Chapter 1 of Class 11 Maths also deals with the types of Sets. There are four types of Sets, namely (i) Empty Sets (ii) Finite and Infinite Sets (iii) Equal Sets (iv) Singleton Set.

The next topic in this chapter is Sub-Set. Let us understand subsets with an example. Let’s take a Set, x= {1,2, 3 …., 10}, and another set y= {2,4,6,8,10}.

So, we can clearly see that the elements of set y come under the first set that is x. Hence, it can be concluded that y is a subset of x.

Other topics included in this chapter are Power Sets, Interval as Subset of Real Line, Types of Interval, Assumption of Universal Sets, Operation of Sets, Union of Two Sets and its Properties, Venn Diagram (establishes the relation between Sets, be it between Sub-sets or Supersets) and Symbols used in Universal Sets.

At the last, this chapter contains questions relating to the intersection of the two sets and their properties, properties of Union and Intersection, the difference of two Sets and the Properties, Complement of A Set and its Properties, Disjoint Sets, etc.

### Exercise-Wise Discussion on NCERT Solutions for Class 11 Maths Chapter 1

1. Exercise 1.1 has seven questions that will test your knowledge regarding the concepts of Sets.
2. Exercise 1.2 further has six questions that are based on different types of Sets.
3. Exercise 1.3 contains nine questions which will examine your understanding about the concept of Subsets, power sets, intervals and universal sets.
4. Exercise 1.4 has 12 questions which are based on the union of two sets, the intersection of two sets as well as its properties.
5. Exercise 1.5 comprises seven questions regarding Venn diagrams as well as symbols used in universal sets.
6. Exercise 1.6 has eight questions that will analyse your knowledge regarding components of Sets, its properties, symbols as well as Disjoint Sets.
7. The last exercise is the miscellaneous exercise that contains the questions related to every topic described in the chapter.

### Benefits of NCERT Solution for Class 11 Mathematics Chapter 1 by Instasolv

Maths experts at Instasolv make sure that you understand the concepts related to the sets well so that you can use it in your daily life. For instance, with the help of Venn Diagrams, we can easily compare things in a visual manner and quickly identify overlaps. Refer to our NCERT Solutions for Class 11 Maths Chapter 1 and you will be able to understand all the topics easily. You can use our solutions anytime to solve your homework queries or to prepare for your CBSE exams. All our solutions are step-wise and provide clear explanations for your better understanding.

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