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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^(prime)=g g^(prime)`

B

`f g=f^(prime) g^(prime)`

C

`(f . g)^(2)=`(f^(prime) . g^(prime)`)^(2)`

D

`f g^(prime)=f^(prime) g`

Text Solution

Verified by Experts

The correct Answer is:
D
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