The equation of the hyperbola in the standard form (with transverse axis along the $x$ -  axis) having the length of the latus rectum = $9$ units and eccentricity = $5/4$ is

  • A

    $\frac{{{x^2}}}{{16}} - \frac{{{y^2}}}{{18}} = 1$

  • B

    $\frac{{{x^2}}}{{36}} - \frac{{{y^2}}}{{27}} = 1$

  • C

    $\frac{{{x^2}}}{{64}} - \frac{{{y^2}}}{{36}} = 1$

  • D

    $\frac{{{x^2}}}{{36}} - \frac{{{y^2}}}{{64}} = 1$

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