A) \[x+y\frac{dy}{dx}=0\]
B) \[y\frac{dy}{dx}=x\]
C) \[y\frac{{{d}^{2}}y}{d{{x}^{2}}}+{{\left( \frac{dy}{dx} \right)}^{2}}=0\]
D) None of these
Correct Answer: A
Solution :
Given equation \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]. Differentiate it w.r.t. x, we get \[2x+2y\frac{dy}{dx}=0\] Þ \[x+y\frac{dy}{dx}=0\].You need to login to perform this action.
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