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Let omega be the complex number cos((2...

Let `omega` be the complex number `cos((2pi)/3)+isin((2pi)/3)`. Then the number of distinct complex numbers z satisfying `Delta=|(z+1,omega,omega^2),(omega,z+omega^2,1),(omega^2,1,z+omega)|=0` is

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
B
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