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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 prove that `(dy)/(dx) = sqrt((1-y^(2))/(1-x^(2)))`.

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