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Area Under the Curves question

2020 · 2 Sep · Shift 2 · Q37
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  5. /2020 · 2 Sep · Shift 2 · Q37

Area Under the Curves question

2020 · 2 Sep · Shift 2 · Q37

JEE MainMathematicsArea Under the CurvesMCQ+4 / −1
Consider a region R = {(x, y) ∈\in∈ R : x2 ≤\le≤ y ≤\le≤ 2x}. if a line y = α\alphaα divides the area of region R into two equal parts, then which of the following is true?
  1. A
    3 α\alphaα 2 - 8 α\alphaα + 8 = 0
  2. B
    α\alphaα 3 - 6 α\alphaα 3/2 - 16 = 0
  3. C
    3 α\alphaα 2 - 8 α\alphaα 3/2 + 8 = 0
  4. D
    α\alphaα 3 - 6 α\alphaα 2 + 16 = 0
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