A) \[\frac{2x+y}{x+2y}\]
B) \[\frac{2y+x}{2x-y}\]
C) \[\frac{2x-y}{2y+x}\]
D) None of these
Correct Answer: C
Solution :
\[{{y}^{2}}+xy-{{x}^{2}}=5\] On differentiating w.r.t.\[(x),\]we get \[2y=\frac{dy}{dx}+x\frac{dy}{dx}+y-2x=0\] \[\Rightarrow \] \[\frac{dy}{dx}(2y+x)=2x-y\] \[\Rightarrow \] \[\frac{dy}{dx}=\frac{2x-y}{2y+x}\]
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