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Question

Let P(x, y) lies in the region satisfying sin1(x29+y24)π2 and  cot1(x2y2)>π2 such that area bounded by locus of P is a sin1bc, where b and c are co-primes, then a + b + c is equal to
 


  1. 21

  2. 15

  3. 18

  4. 27


Solution

The correct option is D

27


sin1(x29+y24)π2

x2y+y291 and x2y2<0
Required area =46130(239x2x)dx=12sin1213

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