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

AThe focus is half the distance from the parabola as the directrix
BThe focus is twice the distance from the parabola as the directrix
CThey are Equidistant from the parabola
DThey both lie on the graph of the parabola

Verified Answer :

apologiabiology

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

C is answer

Answer:

C)They are Equidistant from the parabola

Step-by-step 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.

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