The diagram shows a conic with focus F, directrix d and a point, T, on the directrix. From the point T tangents to the conic are found that touch the conic at P and Q. Show that P, F and Q are collinear

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The diagram shows a conic with focus F, directrix d and a point, T, on the directrix. From the point T tangents to the conic are found that touch the conic at P and Q.
Show that P, F and Q are collinear.

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Transcribed Image Text:mear.
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