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JEE Main 2023 · 29 Jan · Shift 1

JEE Main 2023 Mathematics question on Definite Integrals and Areas

Let Δ\Delta be the area of the region {(x,y)∈R2:x2+y2≤21, y2≤4x, x≥1}\left\{(x,y) \in \mathbb{R}^2 : x^2 + y^2 \leq 21,\ y^2 \leq 4x,\ x \geq 1\right\}. Then 12(Δ−21sin⁡−127)\frac{1}{2}\left(\Delta - 21\sin^{-1}\frac{2}{\sqrt{7}}\right) is equal to
  1. A.
    3−43\sqrt{3} - \dfrac{4}{3}
  2. B.
    5−23\sqrt{5} - \dfrac{2}{3}
  3. C.
    23−132\sqrt{3} - \dfrac{1}{3}
  4. D.
    25−232\sqrt{5} - \dfrac{2}{3}
Show answer

Correct option: A

[JEE Main 2023 · 29 Jan · Shift 1]

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