Ellipse

An ellipse is the set of all points in a plane such that the sum of distances from two fixed points (foci) is constant.

Definition

Standard Equations

Key Elements

Example: Finding Elements

Relationship Between , , and

Practice Problems

1. Find the foci and eccentricity of .
2. Write the equation of an ellipse with vertices and foci .
3. Find the length of the major and minor axes of .
4. If the eccentricity of an ellipse is and the distance between foci is 8, find the equation.