The system of linear equations  $3 x-2 y-k z=10$; $2 x-4 y-2 z=6$ ; $x+2 y-z=5\, m$ is inconsistent if

  • [JEE MAIN 2021]
  • A

    $k =3, m =\frac{4}{5}$

  • B

    $k \neq 3, m \in R$

  • C

    $k \neq 3, m \neq \frac{4}{5}$

  • D

    $k =3, m \neq \frac{4}{5}$

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