Let R be a relation on integers Z defined by R = {(x, y) : x² + y² = 25}. The domain of R is:

Let R be a relation on integers Z defined by R = {(x, y) : x² + y² = 25}. The domain of R is:

• A. {0, 3, 4, 5}
• B. {−5, −4, −3, 0, 3, 4, 5}
• C. {1, 2, 3, 4, 5}
• D. Z

Answer: B) {−5, −4, −3, 0, 3, 4, 5}

Explanation: For x, y to be integers and satisfy x² + y² = 25, the possible values for x are ±5 (y=0), ±4 (y=±3), ±3 (y=±4), and 0 (y=±5). Hence domain is {−5, −4, −3, 0, 3, 4, 5}.