# Worksheet: Equation of an Ellipse

In this worksheet, we will practice finding the equation of an ellipse using different givens and using it to solve problems that involve ellipse-shaped constructions.

**Q2: **

An ellipse has a vertex at and a covertex at . The major axis of the ellipse is parallel to the . What is the equation of the ellipse?

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**Q3: **

Derive the equation of an ellipse centered at the origin with foci at the points and , which has a major axis of length 10.

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**Q4: **

Derive the equation of an ellipse centered at the origin with foci at the points and , which has its vertices at the points and .

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