Conic Sections Exercises

Example 1

Which type of conic section is this?

y² – 3x + 3 = 0

Hint

(something)x = (something)y²

Example 2

Which type of conic section is this?

x² + y² – 5x + 5y – 75 = 0

Hint

A = C

Example 3

Which type of conic section has an eccentricity of 1?

Hint

It only has one directrix.

Example 4

Which conic section has an eccentricity of 0?

Hint

The distance to the focus must be 0.

Example 5

What is the eccentricity of ?

Hint

f² = a² – b²