If the foot of the perpendicular drawn from (1, 9, 7) to the line… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 24 January, Shift 2Basics of Vectors

If the foot of the perpendicular drawn from $(1, 9, 7)$ to the line passing through the point $(3, 2, 1)$ and parallel to the planes $x + 2y + z = 0$ and $3y - z = 3$ is $(\alpha, \beta, \gamma)$ , then $\alpha + \beta + \gamma$ is equal to:

A
$-1$
B
$3$
C
$1$
D
$5$

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