Conic section

Conic section is a term used to describe the shape produced when a plane and a cone intersect. This produces either a circle, ellipse, parabola or hyperbola, or in the special case when the plane touches the vertex, a point, line or two intersecting lines. The general formula for a conic section is as follows:

$$Ax2 + Bxy + Cy2 + Dx + Ey + F = 0$$

Conic sections are one of the most basic forms of shape in maths.