Find a point on the curve \( x^{2}+2 y^{2}=6 \) whose distance from...

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Find a point on the curve \( x^{2}+2 y^{2}=6 \) whose distance from the line \( x+y=7 \), is minimum.
(2003, 2M)
\( \mathrm{P} \)
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