Question

Is there a general equation for all the conic sections? I assume there should be as if you get the equation for a cone and solve the simultaneous equation with it and the different types of plane, you'll get the conic sections of intersection.

Answer 1

yes there is:\[Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0\]
Described in more detail here: http://math2.org/math/algebra/conics.htm

Answer 2

Thanks

Answer 3

yw :)