If the radical axis of the circles `x^2+y^2+2gx+2fy+c=0`
and `2x^2+2y^2+3x+8y+2c=0`
touches the circle `x^2+y^2+2x+1=0`
, show that either `g=3/4`
or `f=2`
A. `g=(4)/(3)` and f=2
B. `g=(4)/(3)` and `f=(1)/(2)`
C. `g=-(3)/(4)` and `f=2`
D. `g=(3)/(4)` and `f=(1)/(2)`