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If the lines a\index{1}x+b\index{1}y+c\index{1}=0 and a\index{2}x+b\index{2}y+c\index{2}=0 cut  the coordinate axes at concyclic points,then prove that ∣a\index{1}a\index{2}∣=∣b\index{1}b\index{2}∣.

If the lines a\index{1}x+b\index{1}y+c\index{1}=0 and a\index{2}x+b\index{2}y+c\index{2}=0 cut  the coordinate axes at concyclic points,then prove that ∣a\index{1}a\index{2}∣=∣b\index{1}b\index{2}∣.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
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If the lines a\index{1}x+b\index{1}y+c\index{1}=0 and a\index{2}x+b\index{2}y+c\index{2}=0 cut 
the coordinate axes at concyclic points,then prove that ∣a\index{1}a\index{2}∣=∣b\index{1}b\index{2}∣.

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