Let the plane P: 4x - y + z = 10 be rotated by an angle π/2 about… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 12 April, Shift 1Equation of Plane

Let the plane $P : 4x - y + z = 10$ be rotated by an angle $\frac{\pi}{2}$ about its line of intersection with the plane $x + y - z = 4$ . If $\alpha$ is the distance of the point $(2, 3, -4)$ from the new position of the plane $P$ , then $35\alpha$ is:

A
$90$
B
$85$
C
$105$
D
$126$

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