Find the polar equation of the conic with focus at the pole

Find the polar equation of the conic with focus at the pole, having the given properties. Identify the conic. 5) Directrix x = -8, eccentricity 3 A) r = 24/1 - 8 cos theta, hyperbola B) r = 8/8 + cos theta, ellipse C) r = 24/1 - 3 cos theta\' hyperbola D) r = 3/8 - 8 cos theta \' parabola

Solution

5) directrix = -8

eccentricity = 3

if eccentricity is greater than 1 its a hyperbola

polar equation is given by

r = ed / 1 - e cos theta

r = 24 / 1 - 3cos theta

option c is correct