Question

Which conic section has the polar equation `r=1/(1-cosq)`?

Answer 1

parabola

Explanation:

if you meant theta instead of q:

`r=1/(1-cos(theta)`

`r-rcos(theta)=1`

`r=1+rcos(theta)`

`sqrt(x^2+y^2)=1+x`

`x^2+y^2=1+2x+x^2`

`y^2=1+2x`

`y^2/2-1/2=x`

^ a parabola opening to the right