Question

Explain why the focus of a parabola is never on the parabola itself

Answer 1

This is because the focus of the parabola is the point which the parabola wraps itself around, for lack of a better word.

Answer 2

The only point we need to be really concerned about that is on the parabola is the vertex, right at the center.

Answer 3

thank you 😊

Answer 4

You're very welcome!

Answer 5

One description of a parabola involves a point (the focus) and a line (the directrix). The focus does not lie on the directrix. The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus.

note if The focus lie on the directrix , then by the defn , the parabola contains the fous ,and the locus becomes a straight line

Answer 6

@epoweritheta thanks for explaining that 😊

Answer 7

note if The focus lie on the directrix , then by the HYPOTHESIS(not by defn) , the parabola contains the fous ,and the locus becomes a straight line

Answer 8

: )

Answer 9

it is good that you ask such questions