Mathematics · 2023
JEE Main · 6 April 2023, Shift 1 · Q26
If the area of the region S={(x, y): 2 y-y^2 ≤ x^2 ≤ 2 y, x ≥ y} is equal to (n+2)/(n+1)-(π)/(n-1), then the natural number n is equal to ____
If the area of the region $\displaystyle S=\left\{(x, y): 2 y-y^2 \leq x^2 \leq 2 y, x \geq y\right\}$ is equal to $\displaystyle \frac{n+2}{n+1}-\frac{\pi}{n-1}$, then the natural number $\displaystyle n$ is equal to $\displaystyle \_\_\_\_$
Official answer
From NTA’s final answer key for this paper.
5
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.