Consider a region R = (x, y) R: x² ≤ y ≤ 2x. if a line y = α divides the area of region R into two equal parts, then which of the following is true?

(C) 3 α ² - 8 α ³/2 + 8 = 0

Integral Calculus: JEE Main 2020 Mathematics question

JEE Main 2020 · 2 Sep, Evening shift · Q2826

JEE Main 20202 Sep, Evening shiftMathematicsHardIntegral Calculus369× since 2002

Consider a region R = {(x, y)

\in

R : x²

\le

\le

2x}. if a line y =

\alpha

divides the area of region R into two equal parts, then which of the following is true?