If the line \( 2 x+\sqrt{6} y=2 \) touches the hyperbola \( x^{2}-2 y^{2}=4 \), then the point o....

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If the line \( 2 x+\sqrt{6} y=2 \) touches the hyperbola
\( \mathrm{P} \)
\( x^{2}-2 y^{2}=4 \), then the point of contact is
(1) \( (-2, \sqrt{6}) \)
(2) \( (-5,2 \sqrt{6}) \)
(3) \( \left(\frac{1}{2}, \frac{1}{\sqrt{6}}\right) \)
(4) \( (4,-\sqrt{6}) \)


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