Relations And Functions Practice Questions Ques3
Question: What is the domain of the relation R = {(x, y) | x² + y² = 25, x and y are real numbers}?
Options:
(A) [-5, 5]
(B) [-5, 5) ∪ (5, -5]
(C) [-5, 5] ∪ [-5, 5]
(D) (-5, 5)
Show Answer
Answer: A
Explanation:
(A) Correct. The domain is [-5, 5] because x² can be at most 25 when y = 0, so x can be any value from -5 to 5 inclusive.
(B) Incorrect. This option excludes 5 and -5, which are valid x-values in the relation.
(C) Incorrect. This option includes redundant intervals and is not a proper representation of the domain.
(D) Incorrect. This option excludes the endpoints -5 and 5, which are valid x-values in the relation.
BETA
