JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

For a positive integer

n

, the expression

(1-i)^n\left(1-\frac{1}{i}\right)^n

equals

View answer and explanation

Correct option: C

2^n

Option C (

2^n

) is correct because after simplification, the expression equals

2^n

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\left|\sum\limits_{r=1}^n z_r\right|

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\alpha, \beta

\gamma

|\alpha-\beta|

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