A set of all points such that its distances from the focus and directrix are equal.

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Answer:

A parabola is "the set of all points in a plane equidistant from a fixed point (focus) and a fixed line (directrix)". The distances to any point (x,y) on the parabola from the focus (0,p) and the directrix y=-p, are equal to each other.

Step-by-step explanation:

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