Let \( C_{1} \) and \( C_{2} \) are circles defined by \( x^{2}+y^{...

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Let \( C_{1} \) and \( C_{2} \) are circles defined by \( x^{2}+y^{2}-20 x+64=0 \) and \( x^{2}+y^{2}+30 x+144=0 \). The length of the shortest line segment \( \mathrm{PQ} \) that is tangent to \( \mathrm{C}_{1} \) at \( \mathrm{P} \) and to \( \mathrm{C}_{2} \) at \( \mathrm{Q} \) is
\( \mathrm{P} \)
(A) 15
(B) 18
(C) 20
(D) 24
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