In this lesson, we will learn how to find the equation of an ellipse using different givens and use it to solve problems that involve ellipse-shaped constructions.

Q1:

Derive the equation of an ellipse with foci at the points (1,3) and (6,3), which has a major axis of length 15.

Q2:

An ellipse has a vertex at (11,5) and a covertex at (6,8). The major axis of the ellipse is parallel to the š„-axis. What is the equation of the ellipse?

Q3:

Derive the equation of an ellipse centered at the origin with foci at the points (4,0) and (ā4,0), which has a major axis of length 10.

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