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If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A, B are roots of y² + 2py − q² = 0, then find the equation of a circle for which AB is a diameter

If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A, B are roots of y² + 2py − q² = 0, then find the equation of a circle for which AB is a diameter

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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If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A, B are roots of y² + 2py - q² = 0, then find the equation of a circle for which AB is a diameter
Transcribed Image Text:If the abscissae of points A, B are the roots of the equation x² + 2ax − b² = 0 and ordinates of A, B are roots of y² + 2py - q² = 0, then find the equation of a circle for which AB is a diameter
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