Let the plane P pass through the intersection of the planes 2x +… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 1 February, Shift 2Equation of Plane

Let the plane $P$ pass through the intersection of the planes $2x + 3y - z = 2$ and $x + 2y + 3z = 6$ , and be perpendicular to the plane $2x + y - z + 1 = 0$ . If $d$ is the distance of $P$ from the point $(-7, 1, 1)$ , then $d^2$ is equal to:

A
$\frac{250}{83}$
B
$\frac{15}{53}$
C
$\frac{25}{83}$
D
$\frac{250}{82}$

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