JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

If the number

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

is real and positive, then

n

View answer and explanation

Correct option: C

4 \lambda+1

Option C (

4 \lambda+1

) is correct because the expression

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

is real and positive only when

n

is of the form

4 \lambda+1

, where

\lambda

is an integer.

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