Question

A parabola is the set of all points that ?

Answer 1

In a plane such that the distance from these points to a fixed point

Answer 2

A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.

A parabola is the set of all points in the plane equidistant from directrix and focus.

Explanation:

A parabola is the set of all points in the plane equidistant from a given line and a given point not on the line.

The line is called directrix and the point is called focus.

So a parabola is the set of all points in the plane equidistant from directrix and focus.