If R2 = {(x, y) | x and y are integers and x2 + y2 = 64} is a relat – InterviewSolution

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}

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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