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The plane is perpendicular to the axis but does not go through the vertex.

The plane intersects the double cone at only the vertex.

The plane is not intersecting the vertex, not parallel to the axis, not perpendicular to the axis, not parallel to the side of the cone, and it intersects only one cone.

The plane is tangent to both of the cones.

answers:
line
point
circle
elipse

match these