# Two Triangles Centers At Play

Geometry Level 2

In triangle $$ABC$$, $$O$$ is the circumcenter and $$I$$ is the incenter. $$P$$ is a point on the exterior angle bisector of $$\Delta BAC$$ such that $$PI \perp OI$$. Extend $$PI$$ to intersect $$BC$$ at $$Q$$.

Find $$\dfrac{PI}{QI}$$.

Note: Figure not drawn to scale.

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