(A) Find the Eccentricity and Directrix of the Conic $r = \frac { 1 } { 5 - 4 \cos \theta }$

question 6

Essay

(a) Find the eccentricity and directrix of the conic $r = \frac { 1 } { 5 - 4 \cos \theta }$ and graph the conic and its directrix.
(b) If this conic is rotated about the origin through and angle
, write the resulting equation and draw its graph.

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