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Moldova JTST 2019 P3

Source: Moldova JTST 2019

April 19, 2019
circumcirclegeometry

Problem Statement

Let OO be the center of circumscribed circle Ω\Omega of acute triangle ΔABC\Delta ABC. The line ACAC intersects the circumscribed circle of triangle ΔABO\Delta ABO for the second time in XX. Prove that BCBC and XOXO are perpendicular.
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