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e=6; directrix is parallel to the polar axis 2 units below the

pole.

Short Answer

Expert verified

The polar equation is

r=121-6sin(θ)

Step by step solution

01

Step 1. Given information 

e=6; the directrix is parallel to the polar axis 2units below the

pole.

02

Step 2. Identify e and p

It is given that

e=6

The directrix is parallel to the polar axis 2units below the

pole.

So,p=2

03

Step 3. Set up the polar equation

It is given that focus is at the pole.

The directrix is parallel to the polar axis 2 units below the pole.

So, we can apply standard polar equation formula

r=ep1-esin(θ)

Plug values e=6,p=2

r=2×61-6sin(θ)r=121-6sin(θ)

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