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Turkey EGMO TST 2019 P3

Source: Turkey EGMO TST 2019

March 15, 2019
geometry

Problem Statement

Let ω\omega be the circumcircle of ΔABC\Delta ABC, where ∣AB∣=∣AC∣|AB|=|AC|. Let DD be any point on the minor arc ACAC. Let EE be the reflection of point BB in line ADAD. Let FF be the intersection of ω\omega and line BEBE and Let KK be the intersection of line ACAC and the tangent at FF. If line ABAB intersects line FDFD at LL, Show that K,L,EK,L,E are collinear points
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