NCERT Class 11-Math's Exemplar Chapter 1 Sets CBSE Board Problems
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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:

Venn Diagram