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Question at position 3
If a right circular cone is intersected by a plane only at its vertex, as in the picture, which shape is produced?

Answer 1

If a right circular cone is intersected by a plane only at its vertex, the shape produced is a triangular point or more specifically, a vertex. The plane doesn't create a cross-section along any other part of the cone, so the intersection results simply in the point at the apex of the cone.