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[" 65) Let "C(1),C(2)" are circles defin...

[" 65) Let "C_(1),C_(2)" are circles defined by "x^(2)+y^(2)-20x+64=0" and "x^(2)+y^(2)+30x+144=0" .The ler "],[" of the shortest line segment "bar(PQ)" that is tangent to "C_(1)" at "P" and to "C_(2)" at "Q=],[[" 1) "15," 2) "18," 3) "20," 4) "24]]

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Let C_(1) and C_(2) are circles defined by x^(2)+y^(2)-20x+64=0 and x^(2)+y^(2)+30x+144=0. The length of the shortest line segment PQ that is tangent to C_(1) at P and to C_(2) at Q is

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