What type of conic is represented by the polar equation?

r= 1 / 4-6cos theta

Ellipse
Hyperbola
Parabola
Circle

Help! Homework help needed

1 answer

since the general form of a conic is

r = ep/(1-e cosθ), you have

r= 1/(4-6cosθ)
r = 1/(4(1-3/2 cosθ))
r = (1/4)/(1-3/2 cosθ)
so e = 3/2
which conic has e>1?