csat-suneung 2008 Q7

csat-suneung · South-Korea · csat__math-science 3 marks

In coordinate space, let $l$ be the line of intersection of the plane $x = 3$ and the plane $z = 1$. When point P moves on line $l$, what is the minimum value of the length of segment OP? (Here, O is the origin.) [3 points]
(1) $2 \sqrt { 2 }$
(2) $\sqrt { 10 }$
(3) $2 \sqrt { 3 }$
(4) $\sqrt { 14 }$
(5) $3 \sqrt { 2 }$

In coordinate space, let $l$ be the line of intersection of the plane $x = 3$ and the plane $z = 1$. When point P moves on line $l$, what is the minimum value of the length of segment OP? (Here, O is the origin.) [3 points]\\
(1) $2 \sqrt { 2 }$\\
(2) $\sqrt { 10 }$\\
(3) $2 \sqrt { 3 }$\\
(4) $\sqrt { 14 }$\\
(5) $3 \sqrt { 2 }$

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