If the radical axis of the circles x^2+y...

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-2y+1=0` , show that either `g=3/4` or `f=2`

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