Did you recieve the honourable mention for this year's IMO?
Let be a point inside the triangle . The lines and intersect the circumcircle of triangle agian at the points and respectively . The tagent to at intersects the line at . Suppose that . Prove that .
If you could answer this problem , you are able to receive the Honourable Mention of this year IMO .
Moderator edit: Approved Challenge question.
I don't know , only the contestants getting full mark of at least one problem (of 6 ) would receive the honourable mention in IMO . I am not powerful enough to take a seat in IMO ( hope it's just now but not in the furture ) . My solution looks fine to me but i am not confident to get full mark !
Your question is complete confusion to me...but in case this helps:
Circle radius 65 is circumcircle of triangle ABC: BC=78, AC=120, AB = 126.
Point P is inside triangle ABC: PA=104, PB=50, PC=32.
In other words: a completely integer case.
This finding of mine not enough for an IMO; can I get just the IM ?