If the radical axis of the circles x² + y² + 2 gx + 2 fy+c= 0 and 2x² + 2y² +3x+8y +2c=0 touches the circle
If the radical axis of the circles x² + y² + 2 gx + 2 fy+c= 0 and 2x² + 2y² +3x+8y +2c=0 touches the circle
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
If the radical axis of the circles
x\power{2}+y\power{2}+2gx+2fy+c=0 and 2x\power{2}+2y\power{2}+3x+8y+2c=0
touches the circle
x\power{2}+y\power{2}+2x+2y+1=0, show that either g=3/4 or f=2.
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