The ellipse with semi-major axis a, eccentricity e and foci F1 and F2 intersects the circle with diameter F1 F2 at the point P, which is one of the 4 points of intersection, as shown in the diagram. Let x be the length of PF1 and y the length of PF2. By considering P as a point on the ellipse, find another relationship between x and y

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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The ellipse with semi-major axis a, eccentricity e and foci F1 and F2 intersects the circle with diameter F1 Fat the point P, which is one of the 4 points of intersection, as shown in the diagram. Let x be the length of PF1 and y the length of PF2.

  1. By considering P as a point on the ellipse, find another relationship between x and y

P
F1
F2
Transcribed Image Text:P F1 F2
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