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

Mathematics · JEE Advanced · NTA Exams — Integral Calculus

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(b ≤ x ≤ 1) such that \(R_{1}-R_{2}=\frac{1}{4}\) Then b equals
  1. 3/4
  2. 1/2
  3. 1/3
  4. 1/4

Answer

(A) 3/4

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