The various shapes are: point, straight line, circle, ellipse, parabola and hyperbola.
When a cone is sliced by a slanted plane, the cross section formed is typically an ellipse. The exact shape can vary depending on the angle and position of the plane relative to the cone. If the plane is parallel to the cone's base, the cross section will be a circle; if it intersects the cone at a steeper angle, the resulting shape will be an ellipse.
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.
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 Parabola.
Parabola