What is the set of all points in the plane that are equidistant from a fixed point of a conic section?

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• The focus is a fixed point that is equidistant from each point on a Parabola. The focus lies on the axis of symmetry and is located at a fixed distance from the vertex.
• Directrix is a straight line equidistant from each point on a parabola. The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola. If the axis of symmetry of a parabola is vertical, the directrix is a horizontal line, and vice versa.