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Chapter 10: Q 37. (page 683)

e=1 directrix is parallel to the polar axis 1 unit above the pole.

Short Answer

Expert verified

The polar equation is

r=11+sin(胃)

Step by step solution

01

Step 1. Given information 

e=1

The directrix is parallel to the polar axis 1unit above the pole.

02

Step 2. Identify e and p

It is given that

e=1

And the directrix is parallel to the polar axis 1unit above the pole.

So,p=1

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 1unit above the pole.

So, we can apply standard polar equation formula

r=ep1+esin(胃)

Plug e=1,p=1

So, the polar equation is

r=1脳11+1sin(胃)r=11+sin(胃)

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