The line \( 3 x+6 y=k \) intersects the the curve \( 2 x^{2}+2 x y+...

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The line \( 3 x+6 y=k \) intersects the the curve \( 2 x^{2}+2 x y+3 y^{2}=1 \)
P at points \( A \) and \( B \). The circle on \( A B \) as diameter passes

W. through the origin. Then the value of \( k^{2} \) is
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