All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(4): A note about the problem.Jer2013-02-04 16:25:40
re(3): A note about the problem.Bractals2013-02-04 13:37:43
re(2): A note about the problem.Jer2013-02-03 19:40:35
Some Thoughtsre: A note about the problem.Bractals2013-02-03 15:50:03
A note about the problem.Jer2013-02-03 01:17:48
SolutionCalculus solutionJer2013-02-03 01:12:43
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information