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

If R_2 = \left \{(x, y) | \: \: x \: \: and \: \: y \: \: are \: \: integers \: \: and\: \: x^2 + y^2 = 64\right \} is a relation. Then find R_2.

Answers (1)

Given data:x^2 + y^ 2 = 64, where x & y \in Z

Thus, it is clear that 64 is the sum of the squares of 2 integers

Thus, for, x=0

Y will be = \pm8 & vice-versa.

Therefore, R_2 = \left \{(0,8),(0,-8),(8,0),(-8,0)\right \}

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infoexpert21

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