$a,\,g,\,h$ are arithmetic mean, geometric mean and harmonic mean between two positive numbers $x$ and $y$ respectively. Then identify the correct statement among the following

  • A

    $h$ is the harmonic mean between $a$ and $g$

  • B

    No such relation exists between $a, g$ and $h$

  • C

    $g $ is the geometric mean between $a$ and $h$

  • D

    $A$ is the arithmetic mean between $g$ and $h$

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