The point, which is at the shortest distance from the P line \( x+y...

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The point, which is at the shortest distance from the
P line \( x+y=7 \) and lying on an ellipse \( x^{2}+2 y^{2}=6 \),

W has coordinates \( (a, b) \) then the value of \( \frac{a}{b} \) is
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