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If a plane intersects a right circular cone through both nappes what conic section is created?
Hyperbola
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 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.
What is it called when a plane intersects a right circular cone through both nappes?
The intersection forms a hyperbola.
What is the intersection of a plane passing through the apex of a right circular cone?
The intersection of a plane passing through the apex of a right circular cone is a conic section. Depending on the angle at which the plane intersects the cone, it can result in different shapes: if the plane is parallel to the base of the cone, it produces a circle; if it cuts through the cone at an angle, it can yield an ellipse, parabola, or hyperbola. The specific type of conic section formed is determined by the orientation and position of the plane relative to the cone.
If a plane intersects a right circular cone through both nappes what conic section is created?
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
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 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 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.
What is it called when a plane intersects a right circular cone through both nappes?
The intersection forms a hyperbola.
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 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 perpendicular to the cone's axis but does not pass through its vertex the resulting curve will be what?
circle
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 runs perpendicular to the cones axis but does not pass through its vertex the resulting curve will be a?
Hyperbola.
