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Q: If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone is?
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What shape is produced if a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex?

An Ellipse


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?

It will be a hyperbola.


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?

hyperbola


If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?

hyperbola


If a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex as in the picture below what shape is produced?

A line is produced


If a right circular cone intersects a plane that goes through both nappes of the cone but not through the vertex the resulting curve will be what?

if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola


Two nappes of a right circular cone meet at a point called the?

Two nappes of a right circular cone meet at a point called the vertex.


If a right circular cone is intersected by a plane only at its vertex what figure it is?

A point.


If a circular cone is intersected by a plane so that the intersection goes through its vertex as well as the edge of the nappe what shape is produced?

If I understand your description correctly, a line.


What is the name of the point where the two nappes of a right circular cone meet as shown below?

It is the vertex. It can also be called the apex but that has a connotation of being the top-most point and so is not appropriate when both nappes are concerned.


If a right circular cone is intersected by a plane only at its vertex what shape is produced?

The intersection will consist of only one point.


What are the vertex or point where 2 lines have intersected?

Acute angles.