The curve satisfying $y=2 x \frac{d y}{d x}$ is a :
Answer & explanation
Correct answer: option 1
$\frac{d x}{d y}=\frac{2 d y}{y} \Rightarrow \ln y=\ln y^2+\ln c \Rightarrow y^2=kx$
it represents a family of parabola
Hence (1) is the correct answer.