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
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.1: The Circle And The Parabola
Problem 88E
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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.
![If the radical axis of the circles
x² + y² + 2gx + 2fy+c= 0 and 2x² + 2y² +3x+8y +2c=0
touches the circle
x² + y² + 2x +2y + 1 = 0, show that eit her g = 3/4 or f = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ddb66d5-795b-4515-a2ee-2cd9bf25a704%2F5e352a4d-8556-4449-9bfc-3966c58330fe%2Ffxudgr_processed.png&w=3840&q=75)
Transcribed Image Text:If the radical axis of the circles
x² + y² + 2gx + 2fy+c= 0 and 2x² + 2y² +3x+8y +2c=0
touches the circle
x² + y² + 2x +2y + 1 = 0, show that eit her g = 3/4 or f = 2.
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