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The condition that the circle x^(2) +y^(...

The condition that the circle `x^(2) +y^(2) + 2gx+ 2fy + c = 0` to bisect the circumference of the circle `x^(2) + y^(2) + 2g^(1)x + 2f^(1)y + c^(1) = 0` is

A

`g(g-g^(1)) + f(f-f^(1)) = c-c^(1)`

B

`g^(1)(g -g^(1)) + f^(1)(f-f^(1)) = c-c^(1)`

C

`2g^(1)(g - g^(1)) + 2f^(1)(f-f^(1)) = c-c ^(1)`

D

`2 g(g-g^(1)) + 2f(f-f^(1)) = c-c^(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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