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# RD Sharma Class 11 Chapter 1 Solutions (Sets)

RD Sharma Class 11 Maths Solutions Chapter 1is prepared in a manner that learning and understanding the concepts of ‘Sets’ get easier. The concepts of Sets that have been studied in earlier classes are modified and made more complex for RD Sharma Solutions for Class 11. So, in-depth knowledge is much required. These solutions help you to learn easy ways to solve each complex problem of Sets, which adds to the confidence level.

The main concepts included in chapter 1 are what is Sets, Description of Set, Operations on sets, types of sets, the laws of the algebra of sets, roaster form or tabular form, set-builder form, subsets,  results on the number of elements in sets, universal set, power set and Venn diagrams. These topics are broadly covered in 8 exercises 1.1 to 1.8. In total solution to 48 questions (excluding subparts of all the questions) has been included in these 8 exercises.

InstaSolv like always has tried to provide solutions in the best and simplest way to all the problems. These solutions will help you with your further understanding of maths along with getting trigonometric functions correctly. It’s worth giving a shot to these exercises. So that you don’t have to face any complications in understanding this chapter and can concentrate on revisions and score good marks.

## Topics covered in RD Sharma Solutions for Class 11 Chapter 1 Sets

When precise objects or elements are collected and they do not change from person to person then they are represented as Sets. Mostly set is represented by a capital letter symbol. There are some sets that are commonly used, they are N: Set of all natural numbers, Q: Set of all rational numbers, Z: Set of all integers, Z+: Set of all positive integers and R: Set of all real numbers. These are also called Elements or members of a Set. Another topic covered in the RD Sharma Solutions for Chapter 1 Sets is Operations on Sets, which means when under certain circumstances/conditions two or more sets combined to form a single set then only operations of the sets can be carried. Some of the basic operations on the sets are A Union of sets, A complement of a set, Set difference, Intersection of sets and the Cartesian product of sets.

Using a Venn diagram (when common elements of a set are expressed by the intersections of the circles) mostly operations are carried out by using the intersection and union of sets. Then comes Complement of Sets, Sets Formulas, Representation of Sets, Types of Sets (Disjoint Sets, Equivalent set, Singleton Set, Proper set, Empty Set, Finite set, Infinite set, Equal sets and Subsets) and Properties of Sets (Commutative Property, Distributive Property, Idempotent Law And Law of the null and universal set, Associative Property, Demorgan’s Law and Complement Law).

Always remember that sets are always represented in three forms. They are:

Roster form: A = {12,14,16,18,20,22,24,26,28}

Set builder form: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 20}

Statement form: Its a set of even number which is less than 20

### Discussion Exercises of RD Sharma Solutions for Class 11 Chapter 1 Sets

Out of the eight exercises of this chapter, the first exercise mainly consists of questions related to the theory. Learning what is the difference between a collection and Sets and how to identify a collection and a Set.

Next exercise i.e. 1.2 is mostly about identifying the different forms and elements of Sets. Similarly, the other exercises cover different topics like properties of Sets, types of Sets, the complement of Sets, representation of Sets and sets formulas, etc.

These concepts are taught through 8 (48 head questions, sub-parts not included) exercises in R.D Sharma. There are short answer type questions also help in the formation of the base as this chapter is much about theory.

Understanding these concepts will not only help you in clearing standard 11 exams and other competitive exams with good marks, but it will also help in understanding the process of data collection which helps you in day to day life. The importance of this topic can be understood by one statement: All fields of mathematics utilize or refer to sets in some or the other way, as Sets teaches to collect data.

Understanding these concepts makes you believe that they are not just wasting their time-solving problems on paper and they will be of no use, but they will use them in daily life.

### Benefits of RD Sharma Solutions for Class 11 chapter 1 Sets by InstaSolv

InstaSolv provides exercise-wise solutions and simplification of chapter 1 Sets to help all students, it makes it uncomplicated to understand theories, methods, concepts and formulas. You can learn at your own pace, unlike regular classes which have a flock of students. The best part is all these RD Sharma solutions are available for free, everyone can retrieve and take benefits.

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