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

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Question

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

Sum
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Solution

We have,

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

So, we get,

x2 = 0 and y= 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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Chapter 2: Relations and Functions - Exercise [Page 28]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 2 Relations and Functions
Exercise | Q 8 | Page 28

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