In this worksheet, we will practice determining the type of a conic section (ellipse, parabola, or hyperbola) and finding the equation of its directrix using polar equations of conics.
Consider the polar equation of a conic with its focus at the pole and eccentricity , where and .
State the equation of the directrix.
Consider the following polar equation of a conic: .
Determine the value of the eccentricity.
State the type of conic that is described by the equation.
Which of the following is a directrix of the conic?