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If z is a complex numer then the equatio...

If z is a complex numer then the equation `z^2+z|z|+|z^2|=0` is satisfied by (`omega` and `omega^2` are imaginary cube roots of unity) (A) `z=komega` where `k in R` (B) `z=k omega^2` where k is non negative (C) `z=k omega` where k is positive real (D) `z= k omega^2` where `k in R`

A

`z=komega" where " k in R`

B

`z=komega^2` where k is non negative real

C

`z=komega` where k is positive real

D

`z=komega^2` where `kinR`

Text Solution

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The correct Answer is:
B,C
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