SOLUTION: Prove that any given point on a parabola is the same distance from the focus and directrix. Fast help wold be great, I've been trying to figure this out for a week already. Tha

Question 1026295: Prove that any given point on a parabola is the same distance from the focus and directrix.
Fast help wold be great, I've been trying to figure this out for a week already.
Thanks in advance!
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Prove that any given point on a parabola is the same distance from the focus and directrix.
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That's the definition of a parabola:
The locus of points equidistant from a point and a line.
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It makes no sense to say "This is what it is." and then say "prove it."
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
Prove that any given point on a parabola is the same distance from the focus and directrix.
Fast help wold be great, I've been trying to figure this out for a week already.
Thanks in advance!
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For the proof, see the lesson Parabola focal property in this site.

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