If \( \sqrt{x^{2}+y^{2}}=e^{\prime} \) where \( t=\sin ^{-1}\left(\frac{y}{\sqrt{x^{2}+y^{2}}}\r...
If \( \sqrt{x^{2}+y^{2}}=e^{\prime} \) where \( t=\sin ^{-1}\left(\frac{y}{\sqrt{x^{2}+y^{2}}}\right) \)
then \( \frac{d y}{d x} \) is equal to
P
(A) \( \frac{x-y}{x+y} \)
(B) \( \frac{x+y}{x-y} \)
(C) \( \frac{y-x}{y+x} \)
(D) \( \frac{x-y}{2 x+y} \)
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