MCQMediumJEE Main 2026 · 24 January, Shift 2Applications of Integrals (Area)

Mathematics Question from JEE Main 2026 · 24 January, Shift 2

Let f(α)f(\alpha) denote the area of the region in the first quadrant bounded by x=0x=0, x=1x=1, y2=xy^2=x and y=αx51αx+αx2y=|\alpha x-5|-|1-\alpha x|+\alpha x^2. Then (f(0)+f(1))(f(0)+f(1)) is equal to

  • A

    1212

  • B

    99

  • C

    77

  • D

    1414

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