RD Sharma Solutions Class 11 Sets

RD Sharma Solutions Class 11 Chapter 1

A set is a collection of distinct objects. It is represented in curly brackets (or braces). A set can be written in two forms namely Roster form and Set-builder form.

Different types of set are as follows: Empty set, Singleton set, Finite set, Cardinal set of a finite set, Infinite set, Equivalent set, Equal set, Universal set, Power set etc.

Now let’s have a look on relation of two sets. A set ‘P’ is a subset of set ‘Q’ if all the elements of set P are present in set Q.

In the year 1880, John Venn introduced a diagram to represent all possible collection of different sets. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set. Venn diagram can be used to represent different operation of sets, some of which are as follows:

  1. Union of set (\(A \cup B\)): Union of two set A and B represent all the elements of either A or B.
  2. Intersection of Set (\(A \cap B\)): Intersection of two set A and B is a set that belongs to both A and B.
  3. Complement of set (\({A}'\))): Let U be universal set. Complement of set A  means all those elements of U which are not in A.

Learn more on Sets through solved RD Sharma Solutions that is provided in this section.

Practise This Question

The ratio of total surface area to lateral surface area of a cylinder whose radius is 20 cm and height 60 cm, is:

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