If \((ax+by)^2=(bx+ay)^2,\) what is the value of \(a-b ?\)

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If \((ax+by)^2=(bx+ay)^2,\) what is the value of \(a-b ?\)

(1) \(x^2>y^2\)

(2) \(a\) and \(b\) are positive integers.

Answer: C

Source: Manhattan GMAT