If the system of equations x + (√2 sin α) y + (√2 cos α) z = 0, x… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 4 April, Shift 1Solving Linear Equations (Matrix Method)

If the system of equations $x + (\sqrt{2} \sin \alpha) y + (\sqrt{2} \cos \alpha) z = 0,$ x + (\cos \alpha) y + (\sin \alpha) z = 0, x + (\sin \alpha) y − (\cos \alpha) z = 0 has a non-trivial solution, then $\alpha$ in the interval $(0, \pi/2)$ is equal to:

A
$3\pi/4$
B
$7\pi/24$
C
$5\pi/24$
D
$11\pi/24$

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