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The number of values of θ in the interval [0,2π] for which the following homogeneous system of equations has a non-trivial solution is:x+(\sinθ)y+(\cosθ)z=0x+(\cosθ)y+(\sinθ)z=0x-(\sinθ)y-(\cosθ)z=0 | Watch the step-by-step video solution for this NIMCET PYQ.