Ricky please solve
The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2=4ax is another parabola with directrix?
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5 Answers
thumbsdown007
·2011-04-01 06:37:23
any moving point on parabola y2=4ax is (at2, 2at)
focus = (a,0)
mid point = ((at2+a)/2 , at)
= (h,k)
t = k/a
2h= a(k2/a2 +1)
directrix x=0