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 \(\sqrt{x^2-y^2}=x+y?\)

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

Answer: D

Source: GMAT Club Tests
Source: — Data Sufficiency |