A conic section is the intersection of a plane and a cone.

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Definition: a plane curve formed by the intersection of a right circular cone with a plane parallel to a generator of the cone; the set of points in a plane that are equidistant from a fixed line and a fixed point in the same plane or in a parallel plane. Standard Form: y^2=4px, y^2=-4px, x^2=4py, x^2=-4py

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Definition: a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the cone. Standard Form: (x^2/a^2)+(y^2/b^2)+1 or (x^2/b^2)+(y^2/a^2)=1

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Definition: a closed plane curve consisting of all points at a given distance from a point within it called the center. Standard Form: x^2 + y^2=r^2

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Definition: the set of points in a plane whose distances to two fixed points in the plane have a constant difference; a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone. Standard Form: (y^2/a^2) - (x^2/b^2)= 1 or (X^2/a^2) - (y^2/b^2)= 1

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