Let P be the point of intersection of the line (x+3)/3 = (y+2)/1… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 10 April, Shift 1Equation of Plane

Let P be the point of intersection of the line $\frac{x+3}{3} = \frac{y+2}{1} = \frac{1-z}{2}$ and the plane $x + y + z = 2$ . If the distance of the point P from the plane $3x - 4y + 12z = 32$ is $q$ , then $q$ and $2q$ are the roots of the equation:

A
$x^2 + 18x - 72 = 0$
B
$x^2 + 18x + 72 = 0$
C
$x^2 - 18x - 72 = 0$
D
$x^2 - 18x + 72 = 0$

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