Question

If R₂ = {(x, y) | x and y are integers and x² + y² = 64} is a relation. Then find R_2.

Answer 1

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)}