1. A plane intersects one nappe of a double-napped cone such that the plane is not perpendicular to the axis and is not parallel to the generating line.
Which conic section is formed?
circle
hyperbola
ellipse
parabola

2. A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone and it does not contain the vertex of the cone.
Which conic section is formed?
hyperbola
parabola
ellipse
circle

3. Which intersection forms a hyperbola?
A plane intersects only one nappe of a double-napped cone, and the plane is perpendicular to the axis of the cone.
A plane intersects both nappes of a double-napped cone, and the plane does not intersect the vertex.
A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.
A plane intersects only one nappe of a double-napped cone, and the plane is parallel to the generating line of the cone.

4. Which conic section results from the intersection of the plane and the double-napped cone shown in the figure?
ellipse
parabola
circle
hyperbola

5. A plane intersects a double-napped cone such that the plane intersects both nappes through the cone's vertex.

Which terms describe the degenerate conic section that is formed?

Select each correct answer.

degenerate ellipse
degenerate hyperbola
point
line
pair of intersecting lines
degenerate parabola