[" The circle "ax^(2)+ay^(2)+2gx+2fy+c=0],[" meets the "x" -axis in two points on opposite "],[" sides of the origin if "]

Under which one of the following conditions does the circle x^(2) + y^(2) + 2gx + 2fy +c = 0 meet the x-axis in two points on opposite sides of the origin?

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

circle ax^(2)+ay^(2)+2gx+2fy+c=0 touches X -axis,if

If the circle x^(2)+y^(2)+2gx+2fy+c=0 touches y -axis then the condition is

The equation x^(2) + y^(2) + 2gx + 2fy + c=0 reprsents the circle if

Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the X - axis if g^(2) =c

Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the y - axis if f^(2) =c

If the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 does not intersects the X - axis then ……..