Question

If a right circular cone is intersected by a plane that goes through both napped of the cone but not through the vertex, as in the picture below, what shape is produced?

Answer 1

Answer:

F. Hyperbola

Step-by-step explanation:

In each napped, you'll have a parabola, combined they form an hyperbola.

It's one of the various shapes that can be produced by a plane intercepting a right circular cone, as you can see in the attached picture.

Each plane intersection is different, based on the angle and the position it passes through.

I hope that helps.