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If the circles x^(2)+y^(2)+2gx+2fy=0 and...

If the circles `x^(2)+y^(2)+2gx+2fy=0` and `x^(2)+y^(2)+2g'x+2f'y=0` touch each other, then

A

`f f'=g g'`

B

`fg=f'g'`

C

`(fg)^(2)=(f'g')^(2)`

D

`fg'=f'g`

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The correct Answer is:
D
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