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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)

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re(3): Solution (spoiler) | Comment 12 of 16 |
(In reply to re(2): Solution (spoiler) by Praneeth)

If (xi,yi) are the coordinates of Xi, what are the coordinates of Yi?

What is meant by XiP also intersects C at point Yi?

  Posted by Charlie on 2007-12-14 00:47:20

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