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Solution of the differential equation
P \( \frac{d y}{d x}+\frac{1+y^{2}}{\sqrt{1-x^{2}}}=0 \) is

W
(a) \( \tan ^{-1} \mathrm{y}+\sin ^{-1} \mathrm{x}=\mathrm{c} \)
(b) \( \tan ^{-1} \mathrm{x}+\sin ^{-1} \mathrm{y}=\mathrm{c} \)
(c) \( \tan ^{-1} y \cdot \sin ^{-1} \mathrm{x}=\mathrm{c} \)
(d) \( \cot ^{-1} \frac{1}{y}+\cos ^{-1} \sqrt{1-x^{2}}=\mathrm{c} \)
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