# A geometry problem by Anish Roy

Geometry Level 3

In triangle $$ABC$$, $$AB=6, AC=10, BC=8$$. $$BD$$ is perpendicular to $$AC$$. A circle is constructed with centre $$B$$ and radius is $$BD$$ such that circle intersect $$AB$$ at $$P$$ and $$BC$$ at $$Q$$. Find $$AP:QC$$.

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