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 Geometric Parabola (Posted on 2013-02-02)
Three points E, F and G are taken on the parabola y2= 4ax, so that their ordinates (in order) are in geometric sequence. The ordinates of each of the three points have the same sign.

Do the tangents at E and G intersect on the line through F perpendicular to the axis of the parabola?

If this is always so, prove it. Otherwise, provide a counter example.

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(3): A note about the problem. | Comment 5 of 6 |
(In reply to re(2): A note about the problem. by Jer)

You are looking at the x coordinates, not the y coordinates.

x-coordinates: -sqrt(b), sqrt(k*b), k*sqrt(b)

y-coordinates: b, k*b, k^2*b

 Posted by Bractals on 2013-02-04 13:37:43
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