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

 Locus of Points (Posted on 2007-12-12)
Let X1, X2, ... , Xn be n≥2 distinct points on a circle C with center O and radius r. What is the locus of points P inside C such that

∑ni=1 |XiP|/|PYi| = n

,where the line XiP also intersects C at point Yi.

 See The Solution Submitted by Bractals Rating: 3.0000 (2 votes)

 Subject Author Date re: Solution Charlie 2007-12-15 18:13:44 re: Solution Charlie 2007-12-14 12:52:55 re: Solution Charlie 2007-12-14 10:09:42 Solution Praneeth 2007-12-14 08:25:37 re(3): Solution (spoiler) Charlie 2007-12-14 00:47:20 re(2): Solution (spoiler) Praneeth 2007-12-13 23:11:57 re: Solution (spoiler) Charlie 2007-12-13 10:34:15 Solution (spoiler) Praneeth 2007-12-13 01:44:59 and also Charlie 2007-12-13 00:21:20 re: three points again -- that second one got cut off Charlie 2007-12-13 00:19:33 three points again Charlie 2007-12-13 00:18:04 Hint Praneeth 2007-12-13 00:07:18 three regularly spaced points Charlie 2007-12-12 22:06:32 third point Charlie 2007-12-12 22:04:34 re: exploration with computer -- 2 non-opposing points Charlie 2007-12-12 19:52:15 exploration with computer Charlie 2007-12-12 19:48:10

 Search: Search body:
Forums (0)