Question:
If R2 = {(x, y) | x and y are integers and x2 + y2 = 64} is a relation. Then find R2.
Solution:
We have,
R2 = {(x, y) | x and y are integers and x2 + y2 – 64}
So, we get,
x2 = 0 and y2 = 64 or x2 = 64 and y2 = 0
x = 0 and y = ±8 or x = ±8 and y = 0
Therefore, R2 = {(0, 8), (0, –8), (8,0), (–8,0)}
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