Find the centers and radius of those circles, whose equations are the following:`1. x^2+y^2+2gx+2fy+c=0`

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

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

The order of the differential equation whose solution is x^(2)+y^(2)+2gx+2fy+c=0 is

The order of the differential equation whose solution is x^(2)+y^(2)+2gx+2fy+c=0 is

If the centre of the hyperbola whose equation is ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 " be " (alpha, beta) , then find the equation of the asymptotes.

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 circle ax^(2) + ay^(2) + 2gx + 2fy + c = 0 where a ne 0 .

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