Let P = (−25,0), Q = (25,0), and R = (−24,7). (a) Find an equation for the circle that goes through P, Q, and R. (b) Find at least two ways of showing that angle PRQ is right. (c) Find coordinates for three other points R that would have made angle PRQ right.

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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Let P = (−25,0), Q = (25,0), and R = (−24,7).

(a) Find an equation for the circle that goes through P, Q, and R.

(b) Find at least two ways of showing that angle PRQ is right.

(c) Find coordinates for three other points R that would have made angle PRQ right.

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