olymmath

CN-TST 2017 Problem 28

  • Test 5

Given a circle with radius 1 and 2 points C, D given on it. Given a constant l with 0<l≤20<l\le 2 . Moving chord of the circle AB=l and ABCD is a non-degenerated convex quadrilateral. AC and BD intersects at P. Find the loci of the circumcenters of triangles ABP and BCP.

Dataset text AI-MO AoPS. Quoted with source.

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