If $0 < x < \pi $ and $\cos x + \sin x = \frac{1}{2}$,then $tan \,x$ is  

  • [AIEEE 2006]
  • A

    $\frac{{1 - \sqrt 7 }}{4}$

  • B

    $\;\frac{{4 - \sqrt 7 }}{3}$

  • C

    $ - \frac{{4 + \sqrt 7 }}{3}$

  • D

    $\;\frac{{1 + \sqrt 7 }}{4}$

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