JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

1, \omega, \ldots, \omega^{n-1}

are the

n

th roots of unity, then value of

\frac{1}{2-\omega}+\frac{1}{2-\omega^2}+\cdots+\frac{1}{2-\omega^{n-1}}

equals

View answer and explanation

Correct option: D

None of these

Option D (None of these) is correct because the correct formula leads to

\frac{{n(2^{n-1})}}{{2^n - 1}}

, which is not among the options.

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