If R = {(x, y) |x, y Z, x 2 + y 2 4} is a relation in Z, …

Maths Set Theory and Relations NTA Abhyas Questions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

If R = {(x, y) |x, y Z, x 2 + y 2 4} is a relation in Z, then domain of R is

{0, 1, 2}

{0, - 1, - 2}

{-2, - 1,0, 1, 2}

None of these

Text Solution

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The correct answer is:

{-2, - 1, 0, 1, 2}

R = {(x, y) |x, y Z, x 2 +y 2 4}

R = {(-2, 0),(-1, 0),(0, -1),(-1, 1),(1, - 1), (0,- 1) (0, 1), (0, 2), (0,-2), (1, 0), (0, 1), (1, 1), (-1,- 1), (2, 0), (0, 0)}

Hence, Domain of R = {-2, - 1, 0, 1, 2}

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