collinearity wanted, tangents to circumcircle related
Source: 2010 Moldova JBMO TST 1.3
July 12, 2020
geometrycircumcircleTangentscollinear
Problem Statement
The tangent to the circle circumscribed to the triangle , taken through the vertex , intersects the line at the point , and the tangents to the same circle, taken through and , intersect the lines and , respectively at the points and . Prove that the points ¸ and are collinear.