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If x -y = Sin ^(-1) x - Sin ^(-1) y then...

If `x -y = Sin ^(-1) x - Sin ^(-1) y` then `(dy)/(dx) =`

A

` (sqrty(4x sqrtx-sqrty))/(sqrtx (2 sqrty + sqrtx))`

B

`(sqrty (1- 2 sqrtxy-y))/(sqrtx (1+ 2 sqrtxy +x))`

C

`(2x +3)/(2y + 5)`

D

`( sqrt( 1- y ^(2))-sqrt((1- x ^(2))( 1- y ^(2))))/(sqrt( 1- x ^(2)) - sqrt((1-x ^(2)) ( 1- y^(2))))`

Text Solution

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The correct Answer is:
D
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