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Let z(1) and z(2) be two non -zero com...

Let `z_(1)` and `z_(2)` be two non -zero complex number such that `|z_(1)+z_(2)| = |z_(1) | = |z_(2)|` . Then `(z_(1))/(z_(2))` can be equal to (`omega` is imaginary cube root of unity).

A

`1 + omega`

B

`1+ omega^(2)`

C

`omega`

D

`omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`|z_(1) + z_(2)|=|z_(1)|= |z_(2)|`
Thus angle between `z_(1)` and `z_(2)` is `120^(@)`
`therefore (z_(1))/(z_(2)) = omega or omega^(2)`
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