Let P be the foot of the perpendicular from the point (1, 2, 2) o… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Equation of Line in 3D

Let P be the foot of the perpendicular from the point $(1, 2, 2)$ on the line $L : \frac{x-1}{1} = \frac{y + 1}{-1} = \frac{z - 2}{2}$ . Let the line $\mathbf{r} = (-\hat{i} + \hat{j} - 2\hat{k}) + \lambda (\hat{i} - \hat{j} + \hat{k})$ , $\lambda \in \mathbb{R}$ , intersect the line $L$ at $Q$ . Then $2(PQ)^2$ is equal to:

A
$27$
B
$25$
C
$29$
D
$19$

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