Question

if a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone, as in the picture below, what shape is produced? a. an ellipse b. a hyperbola c. a line d. a point e. a parabola

Explanation:

When a right - circular cone is intersected by a plane that passes through only one nappe of the cone and is not parallel to an edge of the cone, the resulting conic section is an ellipse. If the plane was parallel to an edge of the cone, it would be a parabola. If it intersected both nappes, it would be a hyperbola. A single point or a line are formed under different special - case intersections.

Answer:

A. An ellipse