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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?
Updated: 4/28/2022
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An Ellipse
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Earn +20 ptsQ: 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?
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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
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.
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 intersects a plane that passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cone's axis the resulting curve w?
ellipse
Related questions
What conic section is produced when both nappes of a right circular cone are intersected?
A 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 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 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.
Which conic section is created if a plane intersects a right circular cone through both nappes?
A hyperbola.
If a plane intersects a right circular cone through both nappes what conic section is created?
Hyperbola
What is it called when a plane intersects a right circular cone through both nappes?
The intersection forms a hyperbola.
What if a right circular cone intersects a plane that passes through one of its nappes but the plane is not parallel to an edge of the cone?
Then the intersection is a hyperbola.
What is produced when you slice a cone with a plane that passes through only one nappes of the cone?
An ellipse or circle.
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