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If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), t...

If `sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y)`, then `(dy)/(dx)` equals

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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