If $\bar{z}$ is the conjugate of the complex number $z$,then which of the following relations is false?
- A$|z| = |\bar{z}|$
- B$z \cdot \bar{z} = |\bar{z}|^2$
- C$\overline{z_1 + z_2} = \overline{z_1} + \overline{z_2}$
- D$\arg(z) = \arg(\bar{z})$
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