Relations RD Sharma Chapter 2 : Fill in the Blanks Type Questions (FBQs) Solution

FILL IN THE BLANKS TYPE QUESTIONS (FBQs)

1. Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is …………………… Watch Solution
2. The smallest reflexive relation on a set A is the ………………………. Watch Solution
3. If A and B are two sets such that n(A) = 5 and n(B) = 7, then the total number of relations on A × B is ………………………. Watch Solution
4. A relation R on a set A is a symmetric relation iff ………………………. Watch Solution
5. If R and S are two equivalence relations on a set A, then R ∩ S is ………………………. Watch Solution
6. If (1, 3), (2, 5) and (3, 3) are three elements of A × B and n(A × B) = 6, then the remaining three elements of are ……………………….  Watch Solution
7. The total number of reflexive relations on a finite set having n elements is ………………………. Watch Solution
8. If R = {(x, y) : x, y ∈ Z, x² + y² = 25}, then Domain (R) = ……………. and Range (R) = ………… Watch Solution
9. The relation R = {(x, y) : x, y ∈ Z, x² + y² = 64} is ………………………. Watch Solution
10. If A = {x : x ∈ W, x < 2}, B = {x : x ∈ N, 1 < x < 5} and C = 3, 5, then A × (B ∩ C) = ………………………. Watch Solution
11. If R = {(x, y) : where x ∈ R and −5 ≤ x ≤ 5} is a relation, then range (R) = ………………………. Watch Solution
12. If n(A ∩ B′) = 9, n(A′ ∩ B) = 10 and n(A ∪ B) = 24, then n(A × B) = ………………………. Watch Solution
13. If A = {3, 5, 6, 9} and R is a relation in A defined as R = {(x, y) : x + y < 18}, then R in roster form is ………………………. Watch Solution
14. If n(A × B) = 200 and n(A) = 50, then the number of elements in P(B) is ………………………. Watch Solution
15. If A = {1, 2, 3, 4, 5, 6}, then the number of subsets of A containing elements 2, 3 and 5 is ………………………. Watch Solution