The number of values of θ ∈ (0, π) for which the system of linear equations x + 3y + 7z = 0, -x + 4y + 7z = 0, (sin 3θ)x + (cos 2θ)y + 2z = 0 has a non-trivial solution, is

The number of values of θ ∈ (0, π) for which the system of… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 Jan · Shift II

The number of values of

\theta \in (0, \pi)

for which the system of linear equations

x + 3y + 7z = 0,

-x + 4y + 7z = 0,

(\sin 3\theta)x + (\cos 2\theta)y + 2z = 0

has a non-trivial solution, is

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Correct option: A

[JEE Main 2019 · 10 Jan · Shift II]

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