Those are known as conic section, and they are described by equations of degree 2.
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.
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
A circle is a plane figure consisting of a curve in which every point is equidistant from a fixed point called the center.
Conic section
It is the base of the cone
The phrase is a "conic section".
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.
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.