Mathematics

Problem

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 = \frac{1}{4}

. Then

b

equals [JEE(Advanced) 2011] (A)

\frac{3}{4}

(B)

\frac{1}{2}

(C)

\frac{1}{3}

(D)

\frac{1}{4}