jee-main 2025 Q79

jee-main · India · session2_08apr_shift1 Vectors: Lines & Planes Find Parametric Representation of a Line
Q79. Let the line L intersect the lines $x - 2 = - y = z - 1,2 ( x + 1 ) = 2 ( y - 1 ) = z + 1$ and be parallel to the line $\frac { x - 2 } { 3 } = \frac { y - 1 } { 1 } = \frac { z - 2 } { 2 }$. Then which of the following points lies on L ?
(1) $\left( - \frac { 1 } { 3 } , 1 , - 1 \right)$
(2) $\left( - \frac { 1 } { 3 } , - 1,1 \right)$
(3) $\left( - \frac { 1 } { 3 } , 1,1 \right)$
(4) $\left( - \frac { 1 } { 3 } , - 1 , - 1 \right)$
Q79. Let the line L intersect the lines $x - 2 = - y = z - 1,2 ( x + 1 ) = 2 ( y - 1 ) = z + 1$ and be parallel to the line $\frac { x - 2 } { 3 } = \frac { y - 1 } { 1 } = \frac { z - 2 } { 2 }$. Then which of the following points lies on L ?\\
(1) $\left( - \frac { 1 } { 3 } , 1 , - 1 \right)$\\
(2) $\left( - \frac { 1 } { 3 } , - 1,1 \right)$\\
(3) $\left( - \frac { 1 } { 3 } , 1,1 \right)$\\
(4) $\left( - \frac { 1 } { 3 } , - 1 , - 1 \right)$