If this is a homework question, please consider trying to answer it yourself first, otherwise the value the reinforcement of the lesson by doing the homework will be lost to you.If plane intersects a right circular cone perpendicular to the axis of the cone then the shape of the 2 dimensional figure formed from the intersection of the plane with the cone is a circle. At the vertex of the cone, the circle becomes a point. In the general case of any plane intersecting any cone, the intersection is known as a conic section.
The intersection of the cone and that particular plane is a 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 is a pair of hyperboles.
Then the intersection is 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 circle.
A. Circle just did it on apex!
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 this is a homework question, please consider trying to answer it yourself first, otherwise the value the reinforcement of the lesson by doing the homework will be lost to you.If plane intersects a right circular cone perpendicular to the axis of the cone then the shape of the 2 dimensional figure formed from the intersection of the plane with the cone is a circle. At the vertex of the cone, the circle becomes a point. In the general case of any plane intersecting any cone, the intersection is known as a conic section.
The intersection of the cone and that particular plane is a 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 is a pair of hyperboles.
Helix
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
Then the intersection is 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 circle.
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
a circle
A Parabola.