A geometry problem by Ilham Saiful Fauzi

Geometry Level 3

Circles \(C_{1}\) and \(C_{2}\) have the same center.
Radius of \(C_{1}\) is \(4\) and radius of \(C_{2}\) is 6.

A chord \(AB\) of \(C_{1}\) with length \(1\) is extended until it intersects \(C_{2}\) at points \(P\) and \(Q\).
Find the length of chord \(PQ\).

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