Single line that is the same distance from the parabola as the focus is from the parabola is Axis.
What is parabola?
A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.
As, A locus is a set of points satisfying a given condition.
and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.
Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.
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