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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 passes through one of its nappes but the plane is neither parallel to the edge of the cone nor perpendicular to the cones axis the resulting curve will?
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, the resulting curve will bea(n) _____ . ellipse
If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe as in the picture below what shape is produced?
When a right circular cone is intersected by a plane that passes through its vertex and touches the edge of each nappe, the resulting shape is a triangle. This triangle is formed by the intersection line extending from the vertex to the edges of the cone's surfaces, effectively creating a triangular cross-section of the cone.
What is the resulting curve if a circular cone intersects a plane that passes through one of its nappes but the plane iis neither parallel nor perpendicular to the cones axis?
If I understand your question correctly, it would be an ellipse.
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 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 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.
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 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 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 parallel to the cones axis but does not pass through its vertex the resulting curve will be a?
parabola
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 cones axis the resulting curve will?
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, the resulting curve will bea(n) _____ . ellipse
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 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 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?
CIRCLE!
