JEE Advance - Mathematics (1987 - No. 10)

If $${{{z_1}}}$$ and $${{{z_2}}}$$ are two nonzero complex numbers such that $$\left| {{z_1}\, + {z_2}} \right| = \left| {{z_1}} \right|\, + \left| {{z_2}} \right|\,$$, then Arg $${z_1}$$ - Arg $${z_2}$$ is equal to
$$ - \pi $$
$$ - {\pi \over 2}$$
0
$${\pi \over 2}$$

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