SOLUTION: Find the locus of point P if P be midpoint of chord joining he vertex of the parabola {{{ y^2 = 8x}}} to another point on it?

SOLUTION: Find the locus of point P if P be midpoint of chord joining he vertex of the parabola {{{ y^2 = 8x}}} to another point on it?

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Question 1184206: Find the locus of point P if P be midpoint of chord joining he vertex of the parabola to another point on it?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let (x', y') be the midpoint of the chord joining (0,0) to (x, ) (or (x, )), which is a point on the parabola .

===> (x',y') = (x/2, )

===> y' = = 2√x'
===> (y')^2 = 4x'.

Therefore, the locus of the point P is the equation .
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