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Locus of Points (Posted on 2007-12-12) Difficulty: 4 of 5
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)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: SolutionCharlie2007-12-15 18:13:44
Questionre: SolutionCharlie2007-12-14 12:52:55
Questionre: SolutionCharlie2007-12-14 10:09:42
SolutionSolutionPraneeth2007-12-14 08:25:37
re(3): Solution (spoiler)Charlie2007-12-14 00:47:20
re(2): Solution (spoiler)Praneeth2007-12-13 23:11:57
re: Solution (spoiler)Charlie2007-12-13 10:34:15
Solution (spoiler)Praneeth2007-12-13 01:44:59
and alsoCharlie2007-12-13 00:21:20
re: three points again -- that second one got cut offCharlie2007-12-13 00:19:33
three points againCharlie2007-12-13 00:18:04
Hints/TipsHintPraneeth2007-12-13 00:07:18
three regularly spaced pointsCharlie2007-12-12 22:06:32
third pointCharlie2007-12-12 22:04:34
re: exploration with computer -- 2 non-opposing pointsCharlie2007-12-12 19:52:15
Solutionexploration with computerCharlie2007-12-12 19:48:10
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