Let X₁, X₂, ... , X_n 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

   ∑ⁿ_i=1 |X_iP|/|PY_i| = n

,where the line X_iP also intersects C at point Y_i.

Remember that PXi*PYi=constant.
Try to use that in this.:) 

Edited on December 13, 2007, 12:07 am

Posted by Praneeth on 2007-12-13 00:07:18