The smallest positive values of $x$ and $y$ which satisfy $\tan (x - y) = 1,\,$ $\sec (x + y) = \frac{2}{{\sqrt 3 }}$ are

  • A

    $x = \frac{{25\pi }}{{24}},\,y = \frac{{19\pi }}{{24}}$

  • B

    $x = \frac{{37\pi }}{{24}},\,y = \frac{{7\pi }}{{24}}$

  • C

    $x = \frac{\pi }{4},\,y = \frac{\pi }{2}$

  • D

    $a$ or $b$ both

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