37 Maths -- Geometry: Circle

Let ABC be a acute angled triangle. Let X and Y bé two points on sides AB and Ac respectively such that BXYC is cyclic and AX:BX=1:8. Let XY intersect circumcircle of triangle ABC in P such that Y lies between X,P. Find the ratio XP:BP

Let ABC be a acute angled triangle. Let X and Y bé two points on sides AB and Ac respectively such that BXYC is cyclic and AX:BX=1:8. Let XY intersect circumcircle of triangle ABC in P such that Y lies between X,P.

Find the ratio XP:BP

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