Find the centre and radius of the circle `ax^(2) + ay^(2) + 2gx + 2fy + c = 0` where `a ne 0`.

Find the centre and radius of the following circles : ax^2 + ay^2 + 2gx + 2fy + K = 0

Find the area of the equilateral triangle inscribed in the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 .

The length of the tangent drawn from any point on the circle x^(2) + y^(2) + 2gx + 2fy + a =0 to the circle x^(2) + y^(2) + 2gx + 2fy + b = 0 is

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

If ax^(2) +2hxy + by^(2) + 2gx + 2fy + c = 0, find dy/dx.

Find the condition that the equation ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 to take the form aX^(2) + 2hXY + bY^(2) = 0 when the axes are translated.

If the radius of the circel x ^(2) + y ^(2) + 2gx+ 2fy +c=0 be r, then it will touch both the axes, if

If the radius of the circel x ^(2) + y ^(2) + 2gx+ 2fy +c=0 be r, then it will touch both the axes, if

Find the parametric representation of the following circle x^2 + y^2+2gx +2fy+c =0 .