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

Chapter 2: Relations – R. D. Sharma Class 11th Maths

1. Relations Exercise 2.1 Video Solution

2. Relations Exercise 2.2 Video Solution

3. Relations Exercise 2.3 Video Solution

4. Relations Multiple Choice Questions (MCQs) Video Solution Video Solution

5. Relations Fill in the Blanks (FBQs) Video Solution

6. Relations Very Short Answer Questions (VSAQs) Video Solution Video Solution