[+2)+(y-1)(y+1)=0],[" he shortest chond of the circles "x^(2)+y^(2)+2gx+2fy+c=0" which passes through "],[" is "]

The length of the shortest chord of the circles x^(2)+y^(2)+2gx+2fy+c=0 which passes through the point (a,b) inside the circle is

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

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , then

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

locus of the middle point of the chords of the circle x^(2)+y^(2)+2gx+2fy+c=0 which passed through a fixed point (a,b)

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

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

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

Write the condition for the circle x^2+y^2+2gx+2fy+c=0 to touch both the axes.