If the area of the region (x, y) : x^ 2/3 + y^ 2/3 1, x + y 0, y 0 is A, then 256A/ is equal to _____.

JEE Main 2022 Mathematics question

If the area of the region {(x, y) : + , , 0} is A, then is equal to .

Answer: 36

The region is bounded by the astroid + = 1 in the upper half plane, to the right of the line y = −x (which cuts the astroid at x = −(1/. So −

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Question ID VK-034532