The radical axis of the circles x2+y2+2gx+2fy+c=0 and 2x2+y2+3x+2y+2c=0touches the circle  x2+y2+2x+2y+1=0, if

The equation of radical axis is  2g−32x+(2f−1)y=0             (i)It touches the circle x2+y2+2x+2y+1=0∴−2g−32−(2f−1)2g−322+(2f−1)2=1⇒2g+2f−522=2g−322+(2f−1)2 Clearly , g=43 and  f=12