[" The centre of the general cowr "],[qquad ax^(2)+2h^(2)xy+by^(2)+2gx+2yy+c=0]

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.

ax^2+2hxy+by^2+2gx+2fy+c=0

The principal axes of the hyperbola ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 are parallel to the lines

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.

The condition that the equation ax^(2) + 2hxy + by^(2) + 2gx + 2fy +c=0 can take the form ax^(2) - 2hxy + by^(2)=0 , when shifting the origi is

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 .