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If \(x\) and \(y\) are integers and \(-x\le y\le x,\) does \(\sqrt{x^2-y^2}=x+y?\)

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If \(x\) and \(y\) are integers and \(-x\le y\le x,\) does \(\sqrt{x^2-y^2}=x+y?\)

by Vincen » Thu Apr 15, 2021 10:35 am

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If \(x\) and \(y\) are integers and \(-x\le y\le x,\) does \(\sqrt{x^2-y^2}=x+y?\)

(1) \(xy\) is NOT a square of an integer.
(2) Point \((x, y)\) is NOT on \(x\)-axis.

Answer: E

Source: GMAT Club Tests
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