NVAMediumJEE Main 2023 · 6 April, Shift 1Applications of Integrals (Area)

Mathematics Question from JEE Main 2023 · 6 April, Shift 1

If the area of the region S={(x,y):2yy2x22y,  xy}S = \left\{(x,y): 2y - y^2 \le x^2 \le 2y,\; x \ge y\right\} is equal to n+2n+1πn1\frac{n+2}{n+1} - \frac{\pi}{n-1}, then the natural number nn is equal to:

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