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AZE JBMO TST

Source: AZE JBMO TST

May 2, 2015
geometrycircumcircle

Problem Statement

Acute-angled ABC\triangle{ABC} triangle with condition AB<AC<BCAB<AC<BC has cimcumcircle C,C^, with center OO and radius RR.And BDBD and CECE diametrs drawn.Circle with center OO and radius RR intersects ACAC at KK.And circle with center AA and radius ADAD intersects BABA at LL.Prove that EKEK and DLDL lines intersects at circle C,C^,.