The equation of three circles are given x\power{2}+y\power{2}-1,x\power{2}-y\power{2}-8x+15=0,x\power{2}+y\power{2}+10x+24=0 Determine the coordinates of  the point P such that the tangents drawn from it to the circles are equal in length.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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The equation of three circles are given x\power{2}+y\power{2}-1,x\power{2}-y\power{2}-8x+15=0,x\power{2}+y\power{2}+10x+24=0

Determine the coordinates of  the point P such that the tangents drawn from it to the circles are equal in length.

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