IMO 1985-5
- Phlembac Adib Hasan
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A circle with center $O$ passes through points $A$ and $C$ and intersects side $AB$ and $BC$ of $\triangle ABC$ at point $K,N$,respectively.The circumcircles of $\triangle ABC$ and $\triangle KBN$ at $B$ and $M$.Prove that $\angle OMB=90^0$.
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Re: IMO 1985-5
I think this is one of the most beautiful problems having so many solutions.....
You spin my head right round right round,
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )
When you go down, when you go down down......(-$from$ "$THE$ $UGLY$ $TRUTH$" )