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Chapter 10: Q 39. (page 684)

e=45; directrix is perpendicular to the polar axis 3units to

the left of the pole.

Short Answer

Expert verified

The polar equation is

r=125-4cos(胃)

Step by step solution

01

Step 1. Given information 

e=45

The directrix is perpendicular to the polar axis 3units to

the left of the pole.

02

Step 2. Identify e and p

It is given that

e=45

directrix is perpendicular to the polar axis 3units to

the left of the pole.

So,p=3

03

Step 3. Set up the polar equation

It is given that focus is at the pole.

directrix is perpendicular to the polar axis 3units to the left of the pole.

So, we can apply standard polar equation formula

r=ep1-ecos(胃)

Plug values e=45,p=3

r=45脳31-45cos(胃)r=4脳35(1-45cos(胃))r=125-4cos(胃)

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