Class 11th Maths – RD Sharma Chapter 2 : Relation Multiple Choice Questions (MCQs) Solution

   MULTIPLE CHOICE QUESTIONS (MCQs)

  Mark the correct alternative in each of the following:

1. 1. If A = {1, 2, 4}, B = {2, 4, 5}, C = {2, 5}, then (A − B) × (B − C) is
      (a) {(1, 2), (1, 5), (2, 5)}
      (b) {(1, 4)}
      (c) (1, 4)
      (d) none of these. Watch Solution
   2. If R is a relation on the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9} given by x R y ⇔ y = 3x, then R =
      (a) {(3, 1), (6, 2), (8, 2), (9, 3)}
      (b) {(3, 1), (6, 2), (9, 3)}
      (c) {(3, 1), (2, 6), (3, 9)}
      (d) none of these. Watch Solution
   3. Let A = {1, 2, 3}, B = {1, 3, 5}. If relation R from A to B is given by R = {(1, 3), (2, 5), (3, 3)}. Then, R⁻¹ is
      (a) {(3, 1), (3, 1), (5, 2)}
      (b) {(1, 3), (2, 5), (3, 3)}
      (c) {(1, 3), (5, 2)}
      (d) none of these. Watch Solution
   4. If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by ‘x is greater than y’. The range of R is
      (a) {1, 4, 6, 9}
      (b) {4, 6, 9}
      (c) {1}
      (d) none of these. Watch Solution
   5. If R = {(x, y) : x, y ∈ Z, x² + y² ≤ 4} is a relation on Z, then domain of R is
      (a) {0, 1, 2}
      (b) {0, −1, −2}
      (c) {−2, −1, 0, 1, 2}
      (d) none of these. Watch Solution
   6. A relation R is defined from {2, 3, 4, 5} to {3, 6, 7, 10} by : x R y ⇔ x is relatively prime to y. Then, domain of R is
      (a) {2, 3, 5}
      (b) {3, 5}
      (c) {2, 3, 4}
      (d) {2, 3, 4, 5}. Watch Solution
   7. A relation ϕ from C to R is defined by x ϕ y ⇔ |x| = y. Which one is correct?
      (a) (2 + 3i) ϕ 13
      (b) 3 ϕ (−3)
      (c) (1 + i) ϕ 2
      (d) i ϕ 1.Watch Solution
   8. Let R be a relation on N defined by x + 2y = 8. The domain of R is
      (a) {2, 4, 8}
      (b) {2, 4, 6, 8}
      (c) {2, 4, 6}
      (d) {1, 2, 3, 4}. Watch Solution
   9. R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x − 3. Then, R⁻¹ is
      (a) {(8, 11), (10, 13)}
      (b) {(11, 8), (13, 10)}
      (c) {(10, 13), (8, 11), (12, 10)}
      (d) none of these. Watch Solution
   10. If the set A has p elements, B has q elements, then the number of elements in A × B is
       (a) p + q
       (b) p + q + 1
       (c) pq
       (d) p² Watch Solution
   11. Let R be a relation from a set A to a set B, then
       (a) R = A ∪ B
       (b) R = A ∩ B
       (c) R ⊆ A × B
       (d) R ⊆ B × A. Watch Solution
   12. If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is
       (a) 2mn
       (b) 2mn − 1
       (c) 2mn
       (d) mn Watch Solution
   13. If R is a relation on a finite set having n elements, then the number of relations on A is
       (a) 2ⁿ
       (b) 2ⁿ²
       (c) n²
       (d) nⁿ Watch Solution
   14. 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
       (a) mⁿ
       (b) nᵐ − 1
       (c) mn − 1
       (d) 2mn − 1 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