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UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next three (03) items that follow :

Consider equation-I :

z^3+2z^2+2z+1=0

and equation-II :

z^{1985}+z^{100}+1=0

.

[NDA II 2023]

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Question : 34 of 120

Marks: +1, -0

Which one of the following is a root of equation-II ?

-1
$-\omega$
$-\omega^2$
$\omega$

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