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AIEEE 2011

JEE Main 2011 Mathematics question on Definite Integrals and Areas

If the straight line x=bx = b divide the area enclosed by y=(1−x)2y = (1-x)^2, y=0y = 0 and x=0x = 0 into two parts R1(0≤x≤b)R_1(0 \leq x \leq b) and R2(b≤x≤1)R_2(b \leq x \leq 1) such that R1−R2=14R_1 - R_2 = \frac{1}{4}. Then, bb equals
  1. A.
    34\dfrac{3}{4}
  2. B.
    12\dfrac{1}{2}
  3. C.
    13\dfrac{1}{3}
  4. D.
    14\dfrac{1}{4}
Show answer

Correct option: B

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