If the line x = α divides the area of region R = ( x , y ) ∈ R 2 : x 3 ≤ y ≤ x , 0 ≤ x ≤…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If the line x = α divides the area of region R = {(x, y) ∈ R2 : x3 ≤ y ≤ x, 0 ≤ x ≤ 1} into two equal parts, then
- a4 + 4a2 – 1 = 0
- 2a4 – 4a2 + 1 = 0
Answer
(D) 2 a 4 – 4 a 2 + 1 = 0
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