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

Obtain the differential equation of the family of circles x^(2)+y^(2)+2gx+2fy+c=0 where g,f&c are arbitrary constants.

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.

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

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

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

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

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

The equation of the circumcircle of an equilateral triangle is x^(2)+y^(2)+2gx+2fy+c=0 and one vertex of the triangle in (1,1). The equation of the incircle of the triangle is 4(x^(2)+y^(2))=g^(2)+f^(2)4(x^(2)+y^(2))=8gx+8fy=(1-g)(1+3g)+(1-f)(1+3f)4(x^(2)+y^(2))=8gx+8fy=g^(2)+f^(2) none of these