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Let \( y=y(x) \) be a solution of the differential equation,
P \( \sqrt{1-x^{2}} \frac{d y}{d x}+\sqrt{1-y^{2}}=0,|x|1 \). If \( y\left(\frac{1}{2}\right)=\frac{\sqrt{3}}{2} \), then

W
\( y\left(\frac{-1}{\sqrt{2}}\right) \) is equal to
[JEE Main-2020 (January)]
(a) \( \frac{-\sqrt{3}}{2} \)
(b) \( \frac{1}{\sqrt{2}} \)
(c) \( \frac{\sqrt{3}}{2} \)
(d) \( \frac{-1}{\sqrt{2}} \)
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