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Let f be a differentiable function satis...

Let f be a differentiable function satisfying the condition `f ((x)/(y)) = (fx))/(f (y)) (y ne 0, f (y) ne 0) AA x, y in R and f '(1) =2.` If the smaller area enclosed by `y = f(x) , x ^(2)+y^(2) =2` is A, then findal [A], where [.] represents the greatest integer function.

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