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If a right circular cone intersects a plane that runs parallel to the edge of the cone is what?
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
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 what shape is produced?
An ellipse is produced.
A right circular double-napped cone is intersected by a plane that is parallel to the generator of the cone two conice sections that could be form are?
i suppose it is an hyperbola
What is produced when you slice a cone at different angles?
When a cone is sliced parallel to the base then the shape produced is a circle. If the cone is sliced at an angle so that the cut goes completely through the cone then an ellipse is produced. If the cut is made perpendicular to the cone's base then the shape produced is a parabola.
Right circular cone is intersected by a plane that is parallel to one edge of the cone?
I'm assuming you are looking for the name of the conic section produced by this type of intersection? If a right circular cone is intersected by a plane parallel to one edge of the cone, the resulting curve of intersection would be a parabola. If the intersecting plane was parallel to the base, it would be a circle. If the intersecting plane was at any angle between being parallel to the base and being parallel to an edge, it would produce an ellipse or part of an ellipse (depending on whether the intersection was completely within the cone).
