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If a point $R(4, y, z)$ lies on the line segment joining the points $P(2, -3, 4)$ and $Q(8, 0, 10)$, then distance of $R$ from the origin is:
(1) $2\sqrt{14}$
(2) $2\sqrt{21}$
(3) $6$
(4) $\sqrt{53}$
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