Relations RD Sharma Chapter 2 : Very Short Answer Questions (VSAQs) Solution

VERY SHORT ANSWER QUESTIONS (VSAQs)

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

1. If A = {1, 2, 4}, B = {2, 4, 5} and C = {2, 5}, write (A − C) × (B − C). Watch Solution
2. If n(A) = 3, n(B) = 4, then write n(A × A × B). Watch Solution
3. If R is a relation defined on the set Z of integers by the rule (x, y) ∈ R ⇔ x² + y² = 9, then write domain of R. Watch Solution
4. If R = {(x, y) : x, y ∈ Z, x² + y² ≤ 4} is a relation defined on the set Z of integers, then write domain of R. Watch Solution
5. If R is a relation from set A = {11, 12, 13} to set B = {8, 10, 12} defined by y = x − 3, then write R⁻¹. Watch Solution
6. Let A = {1, 2, 3} and R = {(a, b) : |a² − b²| ≤ 5, a, b ∈ A}. Then write R as set of ordered pairs. Watch Solution
7. Let R = {(x, y) : x, y ∈ Z, y = 2x − 4}. If (a, −2) and (4, b²) ∈ R, then write the values of a and b. Watch Solution
8. If R = {(2, 1), (4, 7), (1, −2), …}, then write the linear relation between the components of the ordered pairs of the relation R. Watch Solution
9. If A = {1, 3, 5} and B = {2, 4}, list the elements of R, if R = {(x, y) : x, y ∈ A × B and x > y}. Watch Solution
10. If R = {(x, y) : x, y ∈ W, 2x + y = 8}, then write the domain and range of R. Watch Solution
11. Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y, 2), (z, 1) are in A × B, write A and B. Watch Solution
12. Let A = {1, 2, 3, 5}, B = {4, 6, 9} and R be a relation from A to B defined by R = {(x, y) : x − y is odd}. Write R in roster form. Watch Solution