Conic Sections - The Point

On an (x, y) graph a point has the shape to the left.

If a plane intersects the cone when it is perpendicular to the axis and when it passes through the tip of the cone, the conic section is a point. Actually, in this discussion a point looks like a special case of a circle with a radius of zero. This point is shown to the left.

Click this link to hop to an interactive 3D virtual reality world that shows how a point can be considered to be a conic section.

Here is a picture that shows how to form a point by intersecting a cone and a plane.