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

Home > Shapes > Geometry
LOP (Posted on 2017-12-13) Difficulty: 4 of 5

Let B and C be two fixed points on a circle with a center O
such that the points B, C, and O are not collinear. Let A be
a variable point on the same circle (distinct from points B
and C and the perpendicular bisector of BC). Let E and F
be the midpoints of BC and AO respectively. Let ray AE
intersect the circle again at point D. Let lines DO and EF
intersect at point P.

What is the locus of point P as point A moves around the

No Solution Yet Submitted by Bractals    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts GSP exploration | Comment 1 of 7
From Geometers' Sketchpad it looks as if it's a hyperbola.

Edited on December 13, 2017, 12:13 pm
  Posted by Charlie on 2017-12-13 12:12:07

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

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