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If z1 and z2, are two non-zero complex n...

If `z_1 and z_2,` are two non-zero complex numbers such that `|z_1+z_2|=|z_1|+|z_2|` then `arg(z_1)-arg(z_2)` is equal to (1) `0` (2) `-pi/2` (3) `pi/2` (4) `-pi`

A

`-pi`

B

`-pi//2`

C

`pi//2`

D

0

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If z_1 and z_2 are two non- zero comlex numbers such that |z_1+z_2|=|z_1|+|z_2| then arg (z_1)- arg (z_2) is equal to

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  • If z_(1) and z_(2) are to complex numbers such that two |z_(1)|=|z_(2)|+|z_(1)-z_(2)| , then arg (z_(1))-"arg"(z_(2))

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    0
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