Let the straight line x=b divide the area enclosed by y=(1−x)2, y=0 – InterviewSolution

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1.	Let the straight line x=b divide the area enclosed by y=(1−x)2, y=0 and x=0 into two parts R1(0≤x≤b) and R2(0≤x≤1) such that R1−R2=14 then b equals
Answer» Let the straight line $x = b$ divide the area enclosed by $y = (1 - x)^{2}$ , $y = 0$ and $x = 0$ into two parts $R_{1} (0 \leq x \leq b)$ and $R_{2} (0 \leq x \leq 1)$ such that $R_{1} - R_{2} = \frac{1}{4}$ then $b$ equals

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