Wednesday, February 22, 2012

IMO 2011 Question 6

Let ABC be an acute triangle with circumcircle Γ. Let ℓ be a tangent line to Γ, and let ℓa, ℓb andℓc be the lines obtained by reflecting ℓ in the lines BC, CA and AB, respectively

Show that the circumcircle of the triangle determined by the lines ℓa, ℓb and ℓc is tangent to the circle Γ.

Can anyone help me to solve this question?

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2 comments:

  1. † Mэღn Shай 乄February 22, 2012 at 11:28 PM

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    ReplyDelete
  2. Cinta MenoraOctober 9, 2013 at 2:11 AM

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