jee-main 2019 Q89

jee-main · India · session2_08apr_shift2 Vectors 3D & Lines Section Division and Coordinate Computation
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 the distance of $R$ from the origin is
(1) $2 \sqrt { 21 }$
(2) $\sqrt { 53 }$
(3) 6
(4) $2 \sqrt { 14 }$
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 the distance of $R$ from the origin is\\
(1) $2 \sqrt { 21 }$\\
(2) $\sqrt { 53 }$\\
(3) 6\\
(4) $2 \sqrt { 14 }$