If $a\,\cos 2\theta + b\,\sin 2\theta = c$  has $\alpha$ and $\beta$ as its solution, then the value of $\tan \alpha + \tan \beta $ is

  • A

    $\frac{{c + a}}{{2b}}$

  • B

    $\frac{{2b}}{{c + a}}$

  • C

    $\frac{{c - a}}{{2b}}$

  • D

    $\frac{b}{{c + a}}$

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