If \( \mathrm{L}_{1} \) is the line of intersection of the planes \...

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If \( \mathrm{L}_{1} \) is the line of intersection of the planes \( 2 \mathrm{x}-2 \mathrm{y}+3 \mathrm{z}-2=0, \mathrm{x}-\mathrm{y}+\mathrm{z}+1=0 \) and \( \mathrm{L}_{2} \) is the line of iltersection of the planes \( x+2 y-z-3=0,3 x-y+2 z-1=0 \), then the distance of the origin
\( \mathrm{P} \) from the plane, containing the lines \( \mathrm{L}_{1} \) and \( \mathrm{L}_{2} \) is :

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(1) \( \frac{1}{3 \sqrt{2}} \)
(2) \( \frac{1}{2 \sqrt{2}} \)
(3) \( \frac{1}{\sqrt{2}} \)
(4) \( \frac{1}{4 \sqrt{2}} \)
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