IR-TST 2016 Problem 14

Let $ABC$ be an arbitrary triangle and $O$ is the circumcenter of $\triangle {ABC}$ .Points $X,Y$ lie on $AB,AC$ ,respectively such that the reflection of $BC$ WRT $XY$ is tangent to circumcircle of $\triangle {AXY}$ .Prove that the circumcircle of triangle $AXY$ is tangent to circumcircle of triangle $BOC$ .