Two blocks of masses $10 \; kg$ and $30 \; kg$ are placed on the same straight line with coordinates $(0,0) \; cm$ and $(x, 0) \; cm$ respectively. The block of $10 \; kg$ is moved on the same line through a distance of $6 \; cm$ towards the other block. The distance through which the block of $30 \; kg$ must be moved to keep the position of the centre of mass of the system unchanged is

  • A
    $4 \; cm$ towards the $10 \; kg$ block
  • B
    $2 \; cm$ away from the $10 \; kg$ block
  • C
    $2 \; cm$ towards the $10 \; kg$ block
  • D
    $4 \; cm$ away from the $10 \; kg$ block

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