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Let the straight line x=b divide the are...

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 le x le b)` and `R_2 (b le x le 1)` such that `R_1-R_2=1/4`. Then `b` equals (A) `3/4` (B) `1/2` (C) `1/3` (D) `1/4`

A

`3/4`

B

`1/2`

C

`1/3`

D

`1/4`

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