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Let the straight line y=k divide the are...

Let the straight line `y=k` divide the area enclosed by `x=(1-y)^(2)` , `x=0` and `y=0` into two parts of areas, `A_(1)(0 <= y <= k)` and `A_(2)(k <= y <= 1)` such that `(A_(1))/(A_(2))=7.` Then `(1)/(k)` is equal to

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