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Mathematics · 2022

JEE Main · 27 June 2022, Shift 2 · Q27

If the area of the region {(x, y): x^(2/3)+y^(2/3) ≤ 1, x+y ≥ 0, y ≥ 0} is A, then (256 A)/(π) is equal to \ \ \ \.

If the area of the region $\displaystyle \left\{(x, y): x^{\frac{2}{3}}+y^{\frac{2}{3}} \leq 1, x+y \geq 0, y \geq 0\right\}$ is $\displaystyle A$, then $\displaystyle \frac{256 A}{\pi}$ is equal to \_\_\_\_.
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