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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: ( Back to comment list | You must be logged in to post comments.)
Question re: Solution | Comment 14 of 16 |
(In reply to Solution by Praneeth)

Where does

"|PYi|*|XiP|= k(constant)"

come from?

  Posted by Charlie on 2007-12-14 10:09:42
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