If $\bar z$ be the conjugate of the complex number $z$, then which of the following relations is false

  • A

    $|z|\, = \,|\bar z|$

  • B

    $z.\,\bar z = |\bar z{|^2}$

  • C

    $\overline {{z_1} + {z_2}} = \overline {{z_1}} + \overline {{z_2}} $

  • D

    $arg\,z = arg\,\bar z$

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