NCERT Exemplar Solutions
Class 11 - Mathematics - Chapter 1: Sets
Fill in the Blanks

Question. 44

The set \( \{ x \in \mathbb{R} : 1 \le x < 2 \} \) can be written as ____.

Answer:

[1,2)

Question. 45

When \(A = \varnothing\), then number of elements in \(P(A)\) is ____.

Answer:

1

Question. 46

If \(A\) and \(B\) are finite sets such that \(A \subset B\), then \(n(A \cup B) = ____\).

Answer:

n(B)

Question. 47

If \(A\) and \(B\) are any two sets, then \(A - B\) is equal to ____.

Answer:

A \cap B'

Question. 48

Power set of the set \(A = \{1,2\}\) is ____.

Answer:

{∅, {1}, {2}, {1,2}}

Question. 49

Given the sets \(A = \{1,3,5\}\), \(B = \{2,4,6\}\) and \(C = \{0,2,4,6,8\}\), the universal set of all the three sets \(A,B,C\) can be ____.

Answer:

{0,1,2,3,4,5,6,8}

Question. 51

For all sets \(A\) and \(B\), \(A - (A \cap B)\) is equal to ____.

Answer:

A ∪ B'

Question. 50i

If \(U = \{1,2,3,4,5,6,7,8,9,10\}\), \(A = \{1,2,3,5\}\), \(B = \{2,4,6,7\}\) and \(C = \{2,3,4,8\}\), then \((B \cup C)'\) is ____.

Answer:

{1,5,9,10}

Question. 50ii

If \(U = \{1,2,3,4,5,6,7,8,9,10\}\), \(A = \{1,2,3,5\}\), \(B = \{2,4,6,7\}\) and \(C = \{2,3,4,8\}\), then \((C - A)'\) is ____.

Answer:

{1,2,3,5,6,7,9,10}

NCERT Exemplar Solutions Class 11 – Mathematics – Chapter 1: Sets – Fill in the Blanks | Detailed Answers