Answer to Question #114177 in Analytic Geometry for NikHil

Question

The Polar equation r = theta represent a conic

Answer 1

There are three conical sections:

ellipse with eccentricity $e:0\le e\le 1$

parabola with eccentricity $e:e=1$

hyperbola with eccentricity$e:e=1$

Grarh $r=\theta$ in polar coordinates

$r=\theta$ forms a spiral

$r=\theta$ is not a conical section.