If the circle x² + y² + 2gx+2fy + c = 0 bisects the circumference of the circ x² + y² + 2g′x + 2ƒ'y + c′ = 0 then prove that 2g′(g − g′) +2ƒ'(ƒ − ƒ') = c − c
If the circle x² + y² + 2gx+2fy + c = 0 bisects the circumference of the circ x² + y² + 2g′x + 2ƒ'y + c′ = 0 then prove that 2g′(g − g′) +2ƒ'(ƒ − ƒ') = c − c
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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Transcribed Image Text:If
the circle x² + y² + 2gx + 2fy + c = O bisects the circumference of the circle
x² + y² + 2g'x+2f'y + c' = 0 then prove that 2g′(g − g′) + 2ƒ′(ƒ − ƒ') = c − c'
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