jee-main 2025 Q90

jee-main · India · session2_07apr_shift2 Vectors: Lines & Planes Perpendicular/Orthogonal Projection onto a Plane
Q90. Let $\mathrm { P } ( \alpha , \beta , \gamma )$ be the image of the point $\mathrm { Q } ( 1,6,4 )$ in the line $\frac { x } { 1 } = \frac { y - 1 } { 2 } = \frac { z - 2 } { 3 }$. Then $2 \alpha + \beta + \gamma$ is equal to $\_\_\_\_$
ANSWER KEYS

\begin{tabular}{|l|l|l|l|} \hline 1. (4) & 2. (1) & 3. (3) & 4. (3) \hline 9. (3) & 10. (1) & 11. (4) & 12. (1) \hline 17. (2) & 18. (2) & 19. (3) & 20. (3) \hline 25. (5) & 26. (5) & 27. (10) & 28. (22) \hline 33. (2) & 34. (2) & 35. (3) & 36. (3) \hline 41. (3) & 42. (2) & 43. (3) & 44. (4) \hline
Q90. Let $\mathrm { P } ( \alpha , \beta , \gamma )$ be the image of the point $\mathrm { Q } ( 1,6,4 )$ in the line $\frac { x } { 1 } = \frac { y - 1 } { 2 } = \frac { z - 2 } { 3 }$. Then $2 \alpha + \beta + \gamma$ is equal to $\_\_\_\_$

\section*{ANSWER KEYS}
\begin{center}
\begin{tabular}{|l|l|l|l|}
\hline
1. (4) & 2. (1) & 3. (3) & 4. (3) \\
\hline
9. (3) & 10. (1) & 11. (4) & 12. (1) \\
\hline
17. (2) & 18. (2) & 19. (3) & 20. (3) \\
\hline
25. (5) & 26. (5) & 27. (10) & 28. (22) \\
\hline
33. (2) & 34. (2) & 35. (3) & 36. (3) \\
\hline
41. (3) & 42. (2) & 43. (3) & 44. (4) \\
\hline