What Is Conic Sections

A curve generated by intersecting a right circular cone with a plane is termed as conic.

What is conic sections. It has distinguished properties in euclidean geometry. Conic sections are the curves which can be derived from taking slices of a double napped cone. The three types of conic sections are the hyperbola the parabola and the ellipse.

Circle ellipse parabola and hyperbola. By taking different slices through a cone we can get. In mathematics a conic section or simply conic is a curve obtained as the intersection of the surface of a cone with a plane.

The circle is a special case of the ellipse though historically it was sometimes called a fourth type. The three types of conic section are the hyperbola the parabola and the ellipse. The curves ellipse parabola and hyperbola are also obtained practically by cutting the curved surface of a cone in different ways.

There are four basic types. Our mission is to provide a free world class education to anyone anywhere. Conic sections are mathematically defined as the curves formed by the locus of a point which moves a plant such that its distance from a fixed point is always in a constant ratio to its perpendicular distance from the fixed line.

A conic section is the intersection of a plane and a double right circular cone. Did you know that by taking different slices through a cone you can create a circle an ellipse a parabola or a hyperbola. By changing the angle and location of the intersection we can produce different types of conics.

Depending on the angle of the plane relative to the cone the intersection is a circle an ellipse a hyperbola or a parabola. The vertex of the cone divides it into two nappes referred to as the upper nappe and the lower nappe. A circle plane perpendicular to the axis of the cone an ellipse plane slightly tilted a parabola plane parallel to the side the cone or a hyperbola plane cuts both top and bottom parts of cone.