Modify Figure 10.57 to derive the polar equation of a conic section with a focus at the

Question:

Modify Figure 10.57 to derive the polar equation of a conic section with a focus at the origin
in the following three cases.
a. Vertical directrix at x = -d, where d > 0
b. Horizontal directrix at y = d, where d > 0
c. Horizontal directrix at y = -d, where d > 0

Figure 10.57

$УА Directrix |PF| = e\PL| P(r, 0) (d, 0) F(0, 0) х r cos 0 ed 1 + e cos 0$