If the equation of the plane containing the line x + 2y + 3z - 4… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 8 April, Shift 1Equation of Plane

If the equation of the plane containing the line $x + 2y + 3z - 4 = 0$ , $2x + y - z + 5 = 0$ , and perpendicular to the plane $\vec{r} = (\hat{i} - \hat{j}) + \lambda (\hat{i} + \hat{j} + \hat{k}) + \mu (\hat{i} - 2\hat{j} + 3\hat{k})$ is $ax + by + cz = 4$ , then $a - b + c$ is equal to:

A
$22$
B
$24$
C
$20$
D
$18$

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