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 x b) and R_2 (b x 1) such that R_1 - R_2 = 1 4 . Then b equals

JEE Advanced 2011 Mathematics question

Let the straight line divide the area enclosed by , , and into two parts and such that . Then b equals

Answer: (B)

Total area . With : .

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Question ID VK-025925