1.

If R2 = {(x, y) | x and y are integers and x2 + y2 = 64} is a relation. Then find R2.

Answer»

We have, R2 = {(x, y) | x and y are integers and x2 + y2 = 64}

Clearly, x2 = 0 and y2 = 64 or x2 = 64 and y2 = 0

x = 0 and y = ±8

or, x = ±8 and y = 0

R = {(0, 8), (0, -8), (8,0), (-8,0)}


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