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

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

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The correct Answer is:
`= sqrt( ( 1-y^2)/( 1 -x^2) )`
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