If \(\rm \sqrt{1-x^2} + \sqrt{1-y^2} =a , \) then what is \(\rm \frac{dy}{dx}\) equal to ?

1
\(\rm \sqrt{(1-x^2)(1 - y^2)}\)
2
\(\rm \sqrt{\frac{1-y^2}{1-x^2}}\)
3
\(\rm \sqrt{\frac{1-x^2}{1-y^2}}\)
4
None of these

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