jee-main 2025 Q78

jee-main · India · session2_03apr_shift1 Vectors 3D & Lines MCQ: Relationship Between Two Lines
Q78. If the line $\frac { 2 - x } { 3 } = \frac { 3 y - 2 } { 4 \lambda + 1 } = 4 - z$ makes a right angle with the line $\frac { x + 3 } { 3 \mu } = \frac { 1 - 2 y } { 6 } = \frac { 5 - z } { 7 }$, then $4 \lambda + 9 \mu$ is equal to :
(1) 4
(2) 13
(3) 5
(4) 6
Q78. If the line $\frac { 2 - x } { 3 } = \frac { 3 y - 2 } { 4 \lambda + 1 } = 4 - z$ makes a right angle with the line $\frac { x + 3 } { 3 \mu } = \frac { 1 - 2 y } { 6 } = \frac { 5 - z } { 7 }$, then $4 \lambda + 9 \mu$ is equal to :\\
(1) 4\\
(2) 13\\
(3) 5\\
(4) 6