JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

\left|\mathrm{z}_1\right|=\left|\mathrm{z}_2\right| \ldots=\left|\mathrm{z}_n\right|=1

, then

\left|\frac{z_1+\mathrm{z}_2+\ldots \ldots+\mathrm{z}_n}{\mathrm{z}_1^{-1}+\mathrm{z}_2^{-1}+\ldots \ldots+\mathrm{z}_n^{-1}}\right|

equals-

View answer and explanation

Correct option: C

Option C (1) is correct because the expression simplifies to 1 using the property that if

|z|=1

, then

\bar{z} = \frac{1}{z}

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