If feet of perpendiculars from point \( P(1,2,3) \) on \( x, y \) a...

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If feet of perpendiculars from point \( P(1,2,3) \) on \( x, y \) and \( z \)-axis are \( A, B \) and \( C \) respectively, then distance of centroid of triangle \( A B C \) from origin is
\( \mathrm{P} \)
(1) \( \frac{\sqrt{14}}{3} \)
(2) \( \frac{\sqrt{14}}{2} \)
(3) \( \sqrt{14} \)
(4) \( 3 \sqrt{14} \)
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