Find a polar equation of the conic with its focus at the pole.
Conics
Vertex or vertices
Parabola $$( 1 , - \pi / 2 )$$
A) $\frac { 2 } { 1 - \cos \theta }$
B) $\frac { 2 } { 1 + \cos \theta }$
C) $$\frac { - 2 } { 1 - \sin \theta }$$
D) $\frac { 2 } { 1 - \sin \theta }$
E) $\frac { 2 } { 1 + \sin \theta }$

Question

Find a polar equation of the conic with its focus at the pole. ​
Conics
Vertex or vertices
Parabola $$( 1 , - \pi / 2 )$$ ​
A) $\frac { 2 } { 1 - \cos \theta }$
B) $\frac { 2 } { 1 + \cos \theta }$
C) $$\frac { - 2 } { 1 - \sin \theta }$$
D) $\frac { 2 } { 1 - \sin \theta }$
E) $\frac { 2 } { 1 + \sin \theta }$

Quizplus · Accepted Answer

The vertex of the parabola is at $(1, -\pi/2)$, which corresponds to the negative y-axis. The polar equation for a parabola with a focus at the pole and directrix perpendicular to the polar axis is $\frac{r}{1 - \sin \theta}$.

Find a Polar Equation of the Conic with Its Focus (1,−π/2)( 1 , - \pi / 2 )(1,−π/2)

Find a Polar Equation of the Conic with Its Focus $( 1 , - \pi / 2 )$