Question

If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex, what shape is produced?

Answer 1

The answer is a hyperbola. I just took the test have a nice day.

Answer 2

If a right circular cone is intersected by a plane that goes through both napes of the cone but not through the vertex then the shape that is formed by this intersection is:

Hyperbola.

Explanation:

We know when a plane cuts just one nape of the cone then either a ellipse or a parabola or circle is formed depending on the angle that plane forms.

And when it passes through both the nape then a hyperbola is obtained.

Hence, the answer is Hyperbola.