## IMO 2014 Problem 3

Convex quadrilateral has . Point is the foot of the perpendicular from to . Points and lie on sides and , respectively, such that lies inside triangle and

Prove that the line is tangent to the circumcircle of triangle .

**IMO 2014 Problem 3 (Day 1)**

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Categories: Geometry, IMO, Problem Solving
Geometry, IMO

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