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The number of values of θ \in (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 - | Watch the step-by-step video solution for this NIMCET PYQ.