Chapter 11.6, Problem 21E

(a)

To determine

To show: The polar equation of conic $r=\frac{4}{2-\cos \theta }$ is an ellipse and to sketch graph and to find the vertices as well as directrix.

(b)

To determine

To find: The vertex and directrix of the given equation $r=\frac{4}{2-\cos \theta }$ and to indicate the obtained solution on the graph.

(c)

To determine

To find: The center of the ellipse and the lengths of major and minor axis.