In this worksheet, we will practice writing polar equations of conics given the eccentricity and some other characteristic, such as the equation of the directrix.

**Q1: **

A conic with focus at the pole has eccentricity and vertices at and . Write the equation of the conic in polar form.

- A
- B
- C
- D
- E

**Q2: **

A conic with focus at the pole has eccentricity and directrix .

Identify the type of the conic.

- AParabola
- BCircle
- CHyperbola
- DEllipse

Write the equation of the conic in polar form.

- A
- B
- C
- D

**Q3: **

A conic with its focus at the pole has eccentricity and vertices at and .

Identify the type of the conic.

- AEllipse
- BParabola
- CCircle
- DHyperbola

By deciding whether the directrix is in the form , , , or , where , select the form of the polar equation of the conic.

- A
- B
- C
- D

By writing one of the vertices in polar form, find the equation of the directrix.

- A
- B
- C0
- D

Hence, write the equation of the conic.

- A
- B
- C
- D