Let P(x, y) lies in the region satisfying sin−1(x29+y24)≤π2 and – InterviewSolution

1.	Let P(x, y) lies in the region satisfying sin−1(x29+y24)≤π2 and cot−1(x2−y2)>π2 such that area bounded by locus of P is a sin−1b√c, where b and c are co-primes, then a + b + c is equal to
Answer» Let P(x, y) lies in the region satisfying $s i n^{- 1} (\frac{x^{2}}{9} + \frac{y^{2}}{4}) \leq \frac{π}{2}$ and $c o t^{- 1} (x^{2} - y^{2}) > \frac{π}{2}$ such that area bounded by locus of P is a $s i n^{- 1} \frac{b}{\sqrt{c}}$ , where b and c are co-primes, then a + b + c is equal to

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