If $\left(\frac{3^{6}}{4^{4}}\right) \mathrm{k}$ is the term, independent of $\mathrm{x}$, in the binomial expansion of $\left(\frac{\mathrm{x}}{4}-\frac{12}{\mathrm{x}^{2}}\right)^{12}$, then $\mathrm{k}$ is equal to ...... .

  • [JEE MAIN 2021]
  • A

    $22$

  • B

    $11$

  • C

    $55$

  • D

    $99$

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  • [JEE MAIN 2024]