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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.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): A note about the problem. | Comment 4 of 6 |
(In reply to re: A note about the problem. by Bractals)

Your E,F G do not form a geometric sequence.

F/E = -sqrt(k)
G/F = +sqrt(k)

  Posted by Jer on 2013-02-03 19:40:35

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