JEE Main 2024 Mathematics question

MathematicsDeterminantsJEE Main 2024

If the system of equations x + (√2 sin α)y + (√2 cos α)z = 0, x + (cos α)y + (sin α)z = 0, x + (sin α)y − (cos α)z = 0 has a non-trivial solution, then α ∈ is equal to-

Answer: (C)

Solution

The determinant equals ; setting it to zero

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Question ID VK-011464