# NCERT Class 11-Math՚S Exemplar Chapter 1 Sets CBSE Board Problems (For CBSE, ICSE, IAS, NET, NRA 2022)

Glide to success with Doorsteptutor material for NSO : fully solved questions with step-by-step explanation- practice your way to success.

**Question 6**:

If A and B are subsets of the universal set U, then show that

(i)

(ii)

(iii)

**Answer**:

(i) Given: A and B are two subsets

To prove:

Let

Hence Proved

(ii) Given: A and B are two sets

To prove:

Let

We know,

From (1) and (2) :

Now,

Let

So,

Hence Proved

(iii) Given: A and B are two subsets

To prove:

Let

and

Hence Proved

**Question 7**:

Given that . Then write

(i) The subset of N whose elements are even numbers.

(ii) The subset of N whose element are perfect square numbers.

**Answer**:

(i)

(ii)

**Question 8**:

If , if *n* represents any member of X, write the following sets containing all numbers represented by

(i)

(ii)

(iii)

(iv)

**Answer**:

(i)

(ii)

(iii)

(iv)

**Question 9**:

If , and *a* represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

(i)

(ii)

(iii)

**Answer**:

(i)

(ii)

(iii)

**Question 10**:

A, B and C are subsets of Universal Set U. If

and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.

**Answer**: