circle

Question: The circle ${{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0$ bisects the circumference of the circle ${{x}^{2}}+{{y}^{2}}+2g'x+2f'y+c'=0$ , if

1) $2g'(g-g')+2f'(f-f')=c-c'$

2) $g'(g-g')+f'(f-f')=c-c'$

3) $f(g-g')+g(f-f')=c-c'$

4) None of these

Solution:

Explanation: No Explanation

System of circles

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