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A diameter of a circle has endpoints P(a, b) and Q(c, d). Let Z(x, y) be any other point on the circle. a Write down the size of the angle PZQ. b Hence prove that the equation of the circle can be written as: (x - a)(x – c) + (y - b)(y - d) = 0.

A diameter of a circle has endpoints P(a, b) and Q(c, d). Let Z(x, y) be any other point on the circle. a Write down the size of the angle PZQ. b Hence prove that the equation of the circle can be written as: (x - a)(x – c) + (y - b)(y - d) = 0.

Elementary Geometry For College Students, 7e
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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A diameter of a circle has endpoints P(a, b) and Q(c, d). Let Z(x, y) be any other point on the circle. a Write down the size of the angle PZQ. b Hence prove that the equation of the circle can be written as: (x - a)(x – c) + (y - b)(y – d) = 0.
Transcribed Image Text:A diameter of a circle has endpoints P(a, b) and Q(c, d). Let Z(x, y) be any other point on the circle. a Write down the size of the angle PZQ. b Hence prove that the equation of the circle can be written as: (x - a)(x – c) + (y - b)(y – d) = 0.
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