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Q: What plane intersects the vertex of a cone?
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If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex?

If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.


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


If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a n?

If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.


If a right circular cone intersects a plane that runs parallel to the edge of the cone the resulting curve is?

The "conic section" that is produced when a right circular cone intersects a plane that runs parallel to the edge of the cone is a parabola. In the case where the plane also intersects the vertex of the cone, the parabola becomes two intersecting lines.


If a right circular intersects a plane that runs perpendicular to the cones axis but does not pass through its vertex the resulting curve will be an?

If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be a circle.


If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex the resulting curve will be an?

hyperbola


If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be an?

circle


If a Right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex the resulting curve will be what?

parabola


If a right circular cone intersects a plane that runs perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be what?

circle


Given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?

True


Is it true that given a right circular cone a plane that intersects the cone not at the vertex and is parallel to its edge will always result in a parabola regardless of the shape of the cone?

True.


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.