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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 48E
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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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