9) An ellipse has a focal point at (4, 3). This focal point is 2 units away from one of the major axis vertices of the ellipse and 8 units away from the other major axis vertex. The ellipse has a vertical major axis. Find the equation of the ellipse. 10) The distance of a point on an ellipse to one of the foci of that ellipse is 10. The distance from that same point to the other focal point of the ellipse is 8. If the center of the ellipse is at (-4,5) and there is a minor axis vertex at (0, 5), find the equation of the ellipse.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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9) An ellipse has a focal point at (4, 3). This focal point is 2 units away from one of the major axis vertices of
the ellipse and 8 units away from the other major axis vertex. The ellipse has a vertical major axis. Find the
equation of the ellipse.
10) The distance of a point on an ellipse to one of the foci of that ellipse is 10. The distance from that same point
to the other focal point of the ellipse is 8. If the center of the ellipse is at (-4,5) and there is a minor axis
vertex at (0, 5), find the equation of the ellipse.
Jeff Burke
Transcribed Image Text:9) An ellipse has a focal point at (4, 3). This focal point is 2 units away from one of the major axis vertices of the ellipse and 8 units away from the other major axis vertex. The ellipse has a vertical major axis. Find the equation of the ellipse. 10) The distance of a point on an ellipse to one of the foci of that ellipse is 10. The distance from that same point to the other focal point of the ellipse is 8. If the center of the ellipse is at (-4,5) and there is a minor axis vertex at (0, 5), find the equation of the ellipse. Jeff Burke
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