MCQMediumJEE Main 2023 · 29 January, Shift 1Applications of Integrals (Area)

Mathematics Question from JEE Main 2023 · 29 January, Shift 1

Let Δ\Delta be the area of the region

{(x,y)∈R2:x2+y2≤21,  y2≤4x,  x≥1}.\{(x, y) \in \mathbb{R}^2 : x^2 + y^2 \leq 21,\; y^2 \leq 4x,\; x \geq 1\}.

Then 12(Δ−21sin⁡−1(27))\frac{1}{2}\left(\Delta - 21\sin^{-1}\left(\frac{2}{\sqrt{7}}\right)\right) is equal to:

  • A

    23−132\sqrt{3} - \frac{1}{3}

  • B

    3−23\sqrt{3} - \frac{2}{3}

  • C

    23−232\sqrt{3} - \frac{2}{3}

  • D

    3−43\sqrt{3} - \frac{4}{3}

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