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Where's the Center (Posted on 2018-05-20) Difficulty: 4 of 5

  
Circles Γ1 and Γ2 ( with centers O1 and O2 respectively ) intersect
at points A and B such that neither center lies on or inside the other circle.
Lines mA and mB are tangent to circle Γ1 at points A and B respectively.

Distinct points C and D lie on Γ2 ∩ H(A,mB) ∩ H(B,mA), where H(X,mY)
denotes the open half-plane determined by the line mY and does not contain point X.

Rays CA, CB, DA, and DB intersect Γ1 at points CA, CB, DA, and DB
respectively.

   I = CADA ∩ CBDB
                and
   J = CACB ∩ DADB

Prove that points I, J, and O1 are collinear.
  

See The Solution Submitted by Bractals    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: SolutionBractals2018-05-27 14:22:27
SolutionSolutionJer2018-05-27 13:28:40
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