If \( \sqrt{1-x^{2}}+\sqrt{1-y^{2}}=a(x-y) \), then \( \frac{d y}{d...

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If \( \sqrt{1-x^{2}}+\sqrt{1-y^{2}}=a(x-y) \), then \( \frac{d y}{d x} \) equals
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W
(A) \( \sqrt{\left(1-x^{2}\right)\left(1-y^{2}\right)} \)
(B) \( \sqrt{\frac{1-y^{2}}{1-x^{2}}} \)
(C) \( \sqrt{\frac{1-x^{2}}{1-x^{2}}} \)
(D) None of these
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