Let $ y=y(x) $ be a solution of the differential equation, $ \sqrt{1-x^{2}} \frac{d y}{d x}+\sqrt{1-y^{2}}=0,|x|

Question

Let $ y=y(x) $ be a solution of the differential equation, $ \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 $ y\left(\frac{-1}{\sqrt{2}}\right) $ is equal to [JEE Main 2020, 8 Jan (Shift 1)]

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Let \( y=y(x) \) be a solution of the differential equation, \( \sqrt{1-x^{2}} \frac{d y}{d x}+\sqrt{1-y^{2}}=0,|x|<1…

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Let \( y=y(x) \) be a solution of the differential equation, \( \sqrt{1-x^{2}} \frac{d y}{d x}+\sqrt{1-y^{2}}=0,|x|&lt;1…

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Let \( y=y(x) \) be a solution of the differential equation, \( \sqrt{1-x^{2}} \frac{d y}{d x}+\sqrt{1-y^{2}}=0,|x|<1…