Let the lines l₁: (x + 5)/3 = (y + 4)/1 = (z - α)/(-2) and l₂: 3x… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 12 April, Shift 1Equation of Line in 3D

Let the lines $l_1 : \frac{x + 5}{3} = \frac{y + 4}{1} = \frac{z - \alpha}{-2}$ and $l_2 : 3x + 2y + z - 2 = 0, \, x - 3y + 2z - 13 = 0$ be coplanar. If the point P $(a, b, c)$ on $l_1$ is nearest to the point Q $(-4, -3, 2)$ , then $|a| + |b| + |c|$ is equal to:

A
$12$
B
$14$
C
$10$
D
$8$

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