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.

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.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 43E: By definition, an ellipse is the locus of points whose sum of distances from two fixed points F1 and...

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