Let the line passing through the point P(2, -1, 2) and Q(5, 3, 4)… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 11 April, Shift 2Equation of Plane

Let the line passing through the point $P(2, -1, 2)$ and $Q(5, 3, 4)$ meet the plane $x - y + z = 4$ at the point $T$ . Then the distance of the point $T$ from the plane $x + 2y + 3z + 2 = 0$ , measured parallel to the line $\frac{x - 7}{2} = \frac{y + 3}{2} = \frac{z - 2}{1}$ , is equal to:

A
$3$
B
$\sqrt{61}$
C
$\sqrt{31}$
D
$\sqrt{189}$

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