When a cone is sliced by a plane, the shape of the resulting cross-section depends on the angle at which the plane intersects the cone. If the plane is horizontal, it produces a circle; if it is angled but does not intersect the base, it creates an ellipse; if the plane is vertical and intersects both halves, it forms a parabola; and if the plane is vertical and intersects the apex, it results in a hyperbola. Thus, the type of conic section produced varies with the orientation of the slicing plane.
An ellipse or circle.
This is called an ellipse.
The general answer is an ellipse.
Ellipse. (sources) internet class.
Ellipse. (sources) internet class.
The "conic section" that is produced when you slice a cone with a plane that passes through only one nappe of the cone but that is not parallel to an edge of the cone is known as an ellipse. In the case where the plane is perpendicular to the axis of the cone, the ellipse becomes a circle.
An ellipse or circle.
This is called an ellipse.
The general answer is an ellipse.
Ellipse. (sources) internet class.
Ellipse. (sources) internet class.
Ellipse. (sources) internet class.
Ellipse. (sources) internet class.
A hyperbola is produced when you slice a cone with a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone. In this case, the plane intersects the cone in such a way that it creates two separate curves, which are the branches of the hyperbola. This occurs because the angle of the plane relative to the cone's axis is greater than the angle of the cone's side but less than that of the edge.
A circle.
The points where the cone and plane intersect will form a circle.
The interception of a plane with a cone parallel to the base of the cone is a circle.