The radical axis of the circles `x^2+y^2+2gx+c=0 and 2x^2+2y^2+3x+2y+2c=0` touches the circle `x^2+y^2+y^2+2x+2y+1=0` if

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 , then :

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 .

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

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

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 , then (4g-3)(f-2)=

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

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