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

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

A

`ff'=gg'`

B

`fg'=f'g`

C

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

D

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

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