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  4. If the system of linear equations ( cos θ) x+( sin θ) y+ cos θ=0 ( sin θ) x+( cos θ) y+ sin θ=0 ( cos θ) x+( sin θ) y- cos θ=0 is consistent, then the number of possible values of θ, θ ∈[0,2 π] is

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Q. If the system of linear equations
$(\cos \theta) x+(\sin \theta) y+\cos \theta=0 $
$(\sin \theta) x+(\cos \theta) y+\sin \theta=0 $
$(\cos \theta) x+(\sin \theta) y-\cos \theta=0$
is consistent, then the number of possible values of $\theta, \theta \in[0,2 \pi]$ is

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Solution:

Correct answer is '2'