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Geometric Parabola (Posted on 2013-02-02) Difficulty: 2 of 5
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    
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re(4): A note about the problem. Comment 6 of 6 |
(In reply to re(3): A note about the problem. by Bractals)

My mistake.  I so very rarely use the terms abscissa and ordinate that I am prone to mixing them up.  (Of course, I confuse left and right and I use them all the time.)

Anyhow.  You can disregard my note.

  Posted by Jer on 2013-02-04 16:25:40

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