If the system of linear equations ( cost...

If the system of linear equations `( costheta)x+ (sintheta)y + cos theta=0`,`(sintheta)x+(costheta) y+ sin theta = 0`, `(costheta)x + (sintheta) y - costheta =0` is consistent, then the number of possible values of `theta in [0,2pi]` is (A) 0 (B) 1 (C) 2 (D) 3

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