The general solution of the equation $(\sqrt 3 - 1)\sin \theta + (\sqrt 3 + 1)\cos \theta = 2$ is

  • A

    $2n\pi \pm \frac{\pi }{4} + \frac{\pi }{{12}}$

  • B

    $n\pi + {( - 1)^n}\frac{\pi }{4} + \frac{\pi }{{12}}$

  • C

    $2n\pi \pm \frac{\pi }{4} - \frac{\pi }{{12}}$

  • D

    $n\pi + {( - 1)^n}\frac{\pi }{4} - \frac{\pi }{{12}}$

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  • [JEE MAIN 2013]