The locus of the mid-points of the perpendiculars drawn from points on the line, $\mathrm{x}=2 \mathrm{y}$ to the line $\mathrm{x}=\mathrm{y}$ is 

  • [JEE MAIN 2020]
  • A

    $2 x-3 y=0$

  • B

    $7 x-5 y=0$

  • C

    $5 x-7 y=0$

  • D

    $3 x-2 y=0$

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