Relations And Functions Practice Questions Ques14

Question: What is the domain of the relation R = {(1, 2), (3, 4), (5, 6)} defined on A × B, where A = {1, 3, 5} and B = {2, 4, 6}?

Options:

(A) {1, 3, 5}

(B) {2, 4, 6}

(C) {1, 2, 3, 4, 5, 6}

(D) {(1, 2), (3, 4), (5, 6)}

Show Answer

Answer: A

Explanation:

(A) Correct. The domain of a relation is the set of all first elements in the ordered pairs.

(B) Incorrect. This is the range of the relation, not the domain.

(c) Incorrect. This combines both domain and range, which is not the domain.

(D) Incorrect. This is the relation itself, not its domain.