If the variable line \( y=k x+2 h \) is tangent to an ellipse \( 2 ...

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If the variable line \( y=k x+2 h \) is tangent to an ellipse \( 2 x^{2}+3 y^{2}=6 \), then the locus of \( P(h, k) \) is a conic \( C \) whose
P eccentricity is \( e \). Then the value of \( 3 e^{2} \) is

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