Mathematics · 2023
JEE Main · 29 January 2023, Shift 1 · Q70
Let Δ be the area of the region {(x, y) ∈ R^2: x^2+y^2 ≤ 21, y^2 ≤ 4 x, x ≥ 1}. Then 1/2(Δ-21 sin^-1 2/(√ 7)) is equal to
Let $\displaystyle \Delta$ be the area of the region $\displaystyle \left\{(x, y) \in \mathbb{R}^2: x^2+y^2 \leq 21, y^2 \leq 4 x, x \geq 1\right\}$. Then $\displaystyle \frac{1}{2}\left(\Delta-21 \sin ^{-1} \frac{2}{\sqrt{7}}\right)$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle \sqrt{3}-\frac{4}{3}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.