jee-main 2023 Q87

jee-main · India · session1_25jan_shift2 Vectors: Lines & Planes Perpendicular/Orthogonal Projection onto a Plane

The foot of perpendicular of the point $( 2,0,5 )$ on the line $\frac { x + 1 } { 2 } = \frac { y - 1 } { 5 } = \frac { z + 1 } { - 1 }$ is $( \alpha , \beta , \gamma )$. Then, which of the following is NOT correct?
(1) $\frac { \alpha \beta } { \gamma } = \frac { 4 } { 15 }$
(2) $\frac { \alpha } { \beta } = - 8$
(3) $\frac { \beta } { \gamma } = - 5$
(4) $\frac { \gamma } { \alpha } = \frac { 5 } { 8 }$

The foot of perpendicular of the point $( 2,0,5 )$ on the line $\frac { x + 1 } { 2 } = \frac { y - 1 } { 5 } = \frac { z + 1 } { - 1 }$ is $( \alpha , \beta , \gamma )$. Then, which of the following is NOT correct?\\
(1) $\frac { \alpha \beta } { \gamma } = \frac { 4 } { 15 }$\\
(2) $\frac { \alpha } { \beta } = - 8$\\
(3) $\frac { \beta } { \gamma } = - 5$\\
(4) $\frac { \gamma } { \alpha } = \frac { 5 } { 8 }$

Paper Questions

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