If the circle x² + y² + 2gx + 2f y+c=0 bisects the circumference of the circlex² + y² + 2g¹x + 2fy+c=0 then prove that 2 g'(g-g') + 2 f^(f − f^) = c - d

It is given that the circle x2+y2+2gx+2fy+c=0 bisects the circumference of the circle…

Answered: If the circle x² + y² +2gx+2fy+c= 0…

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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If the circle x² + y² +2gx+2fy+c= 0 bisects the circumference of the cir x² + y² +2g²x+2 fy+d=0 then prove that 2g'(g− g') +2f^'(f − f^) = c - d