The straight line through the origin which divides the area formed by the curves \(y=2 x-x^{2}, y=0\) and \(x=1\) into two equal halves is

The straight line through the origin which divides the area formed by the curves \(y=2 x-x^{2}, y=0\) and \(x=1\) into two equal halves is
(A) \(y=x\)
(B) \(y=2 x\)
(C) \(y=\frac{3}{2} x\)
(D) \(y=\frac{2}{3} x\)

Ans(D)

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The straight line through the origin which divides the area formed by the curves \(y=2 x-x^{2}, y=0\) and \(x=1\) into two equal halves is

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