Those are known as conic section, and they are described by equations of degree 2.
The term that best describes the curve formed by the intersection of a cone and a plane is a "conic section." Depending on the angle and position of the plane relative to the cone, the conic section can be classified as a circle, ellipse, parabola, or hyperbola. Each of these shapes represents a different type of intersection based on the geometric relationship between the cone and the plane.
Which of the following best describes a plane?A. A curve in a roadB. The point of intersection of two wallsC. The surface of a flat tableD. The edge of a desk
The hyperbola is the curve at the boundary of the intersection of the conewith a cutting plane parallel to the cone's axis.
If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be a parabola, unless the intersection includes the vertex of the cone, in which case the intersection is a straight line. This is a conic section. Depending on the angle of the plane, the section will be a circle, an ellipse, a parabola, or two hyperboles.
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
Conic section
It is the base of the cone
The phrase is a "conic section".
The term that best describes the curve formed by the intersection of a cone and a plane is a "conic section." Depending on the angle and position of the plane relative to the cone, the conic section can be classified as a circle, ellipse, parabola, or hyperbola. Each of these shapes represents a different type of intersection based on the geometric relationship between the cone and the plane.
Which of the following best describes a plane?A. A curve in a roadB. The point of intersection of two wallsC. The surface of a flat tableD. The edge of a desk
Those are known as conic section, and they are described by equations of degree 2.
the figure defined by intersection of a cone and a plane.
the figure defined by intersection of a cone and a plane.
the figure defined by intersection of a cone and a plane.
the figure defined by intersection of a cone and a plane.
The hyperbola is the curve at the boundary of the intersection of the conewith a cutting plane parallel to the cone's axis.
A parabola refers to a symmetrical open plane curve that is formed by the intersection of the cone with a plane that is parallel to its side. The curve on the other hand refers to a line that gradually deviates from being straight for some or all of its length.