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