Question

What is the distance between a given point on a parabola and the parabola's directrix if the distance between the same given point and the parabola's focus is 8 units?

A. 16 units
B. 8 units
C. 4 units
D. 1 unit

Answer 1

B. 8 units

Explanation:

We have been given that the distance between the given point and the parabola's focus is 8 units. We are asked to find the distance between the given point on a parabola and the parabola's directrix.

By definition a parabola is set of all points in a plane which are an equal distance away from a given point (focus) and given line (directrix).

Since our given point is 8 units away from focus, so the point will be 8 units away from directrix, therefore, option B is the correct choice.