Which intersection forms a circle?

A plane intersects only one nappe of a double-napped cone, and the plane is perpendicular 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.

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.

Question

Zachery Fitzgerald

Mathematics

17 June, 16:45

Which intersection forms a circle?

A plane intersects only one nappe of a double-napped cone, and the plane is perpendicular 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.

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.

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Answers (1)

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Cullen Clay · Answer 1

A plane intersects only one nappe of a double-napped cone, and the plane is perpendicular to the axis of the cone.

In the first choice, you will have an ellipse. In the second choice, you will have a parabola. In the fourth choice, you will have a hyperbola.