(a) Let R = { (, ) ∶ x and y are integers and x
2+ y
2 = 64} Write domain and range.
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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
R2 = {(0, 8), (0, -8), (8,0), (-8,0)}
Step-by-step explanation:
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