A plane P contains the line of intersection of the plane r.(i+j+k… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 6 April, Shift 2Equation of Plane

A plane $P$ contains the line of intersection of the plane $\vec{r}.(\hat{i}+\hat{j}+\hat{k}) = 6$ and $\vec{r}.(2\hat{i}+3\hat{j}+4\hat{k}) = -5$ . If $P$ passes through the point $(0, 2, -2)$ , then the square of distance of the point $(12, 12, 18)$ from the plane $P$ is:

A
$620$
B
$1240$
C
$310$
D
$155$

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