Let $\alpha \beta \gamma=45 ; \alpha, \beta, \gamma \in R$. If $x(\alpha, 1,2)+y(1, \beta, 2)$ $+z(2,3, \gamma)=(0,0,0)$ for some $x, y, z \in R, x y z \neq$ 0 , then $6 \alpha+4 \beta+\gamma$ is equal to..............

  • [JEE MAIN 2024]
  • A

    $55$

  • B

    $56$

  • C

    $54$

  • D

    $31$

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  • [JEE MAIN 2023]