Solutions to this question by accurate drawing will not be accepted.
A circle \(C_1\) has centre \((3,5)\).
The point \(P(1,4)\) lies on circle \(C_1\).
A circle \(C_2\) has centre \((12,8)\).
The line with equation \(y=19-3x\) is the common chord of circles \(C_1\) and \(C_2\).
Find the radius of circle \(C_2\).[9]
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