Let the equation of the plane P containing the line x + 10 = (8 -… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 29 January, Shift 1Equation of Plane

Let the equation of the plane P containing the line $x + 10 = \frac{8 - y}{2} = z$ be $ax + by + 3z = 2(a + b)$ , and the distance of the plane P from the point $(1, 27, 7)$ be $c$ . Then $a^2 + b^2 + c^2$ is equal to:

A
$355$
B
$200$
C
$150$
D
$400$

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