The curve for which slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point is a/an
Answer & explanation
Correct answer: option 2
$\frac{d y}{d x}=\frac{x}{y} \Rightarrow ydy=xdx$
$\Rightarrow \frac{y^2}{2}-\frac{x^2}{2}=c \Rightarrow y^2-x^2=2 c$
which is a rectangular hyperbola
Hence (2) is the correct answer.