jee-main 2023 Q78

jee-main · India · session2_15apr_shift1 Vectors: Lines & Planes Perpendicular/Orthogonal Projection onto a Plane

Let the foot of perpendicular of the point $P ( 3 , - 2 , - 9 )$ on the plane passing through the points $( - 1 , - 2 , - 3 ) , ( 9,3,4 ) , ( 9 , - 2,1 )$ be $Q ( \alpha , \beta , \gamma )$. Then the distance of $Q$ from the origin is
(1) $\sqrt { 42 }$
(2) $\sqrt { 38 }$
(3) $\sqrt { 35 }$
(4) $\sqrt { 29 }$

Let the foot of perpendicular of the point $P ( 3 , - 2 , - 9 )$ on the plane passing through the points $( - 1 , - 2 , - 3 ) , ( 9,3,4 ) , ( 9 , - 2,1 )$ be $Q ( \alpha , \beta , \gamma )$. Then the distance of $Q$ from the origin is\\
(1) $\sqrt { 42 }$\\
(2) $\sqrt { 38 }$\\
(3) $\sqrt { 35 }$\\
(4) $\sqrt { 29 }$

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