Let \( L \) be a common tangent line to the curves \( 4 x^{2}+9 y^{...

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Let \( L \) be a common tangent line to the curves \( 4 x^{2}+9 y^{2}=36 \) and \( (2 x)^{2}+(2 y)^{2}=31 \). Then the square of the slope of the line \( L \) is
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