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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