Question

Which of the following best describes the relationship between the focus and directrix of a parabola

A. The focus is half the distance from the parabola as the directrix
B. The focus is twice the distance from the parabola as the directrix
C. They are Equidistant from the parabola
D. They both lie on the graph of the parabola

Answer 1

they are equidistant from the parabola
that is how a parabola is constructed

C is answer

Answer 2

C)They are Equidistant from the parabola

Explanation:

Focus of parabola : The focus of a parabola is a fixed point on the interior of a parabola

Directrix of parabola : A parabola is set of all points in a plane which are at equal distance away from a given point and given line. The given line is called the directrix. The given point is Focus

So, The vertex of the parabola is at equidistant between focus and the directrix.

So, They are Equidistant from the parabola

Hence Option C is correct.