jee-main 2019 Q89

jee-main · India · session2_09apr_shift1 Vectors: Lines & Planes Find Intersection of a Line and a Plane

If the line, $\frac { x - 1 } { 2 } = \frac { y + 1 } { 3 } = \frac { z - 2 } { 4 }$ meets the plane, $x + 2 y + 3 z = 15$ at a point $P$, then the distance of $P$ from the origin is,
(1) $2 \sqrt { 5 }$
(2) $\frac { 9 } { 2 }$
(3) $\frac { \sqrt { 5 } } { 2 }$
(4) $\frac { 7 } { 2 }$

If the line, $\frac { x - 1 } { 2 } = \frac { y + 1 } { 3 } = \frac { z - 2 } { 4 }$ meets the plane, $x + 2 y + 3 z = 15$ at a point $P$, then the distance of $P$ from the origin is,\\
(1) $2 \sqrt { 5 }$\\
(2) $\frac { 9 } { 2 }$\\
(3) $\frac { \sqrt { 5 } } { 2 }$\\
(4) $\frac { 7 } { 2 }$

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