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 (0, \frac{\pi}{2}) is equal to : [4 Apr 2024 Shift 1]

JEE Main 4 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 7 of 90

Marks: +1, -0

If the system of equations
‌x+(√2sin‌α)y+(√2‌cos‌α)z=0
‌x+(cos‌α)y+(sin‌α)z=0
‌x+(sin‌α)y−(cos‌α)z=0
has a non-trivial solution, then α∈(0,‌

) is equal to :

[4 Apr 2024 Shift 1]

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