jee-main 2017 Q86

jee-main · India · 09apr Vectors: Lines & Planes Perpendicular/Orthogonal Projection onto a Plane

If the image of the point $P ( 1 , - 2 , 3 )$ in the plane $2 x + 3 y - 4 z + 22 = 0$ measured parallel to the line $\frac { x } { 1 } = \frac { y } { 4 } = \frac { z } { 5 }$ is $Q$, then $P Q$ is equal to:
(1) $3 \sqrt { 5 }$
(2) $2 \sqrt { 42 }$
(3) $\sqrt { 42 }$
(4) $6 \sqrt { 5 }$

If the image of the point $P ( 1 , - 2 , 3 )$ in the plane $2 x + 3 y - 4 z + 22 = 0$ measured parallel to the line $\frac { x } { 1 } = \frac { y } { 4 } = \frac { z } { 5 }$ is $Q$, then $P Q$ is equal to:\\
(1) $3 \sqrt { 5 }$\\
(2) $2 \sqrt { 42 }$\\
(3) $\sqrt { 42 }$\\
(4) $6 \sqrt { 5 }$

Paper Questions

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