Class 11

4-1.Complex numbers question bank (Maths)

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Q1.

If $n$ is a positive integer,then $\left( \frac{1 + i}{1 - i} \right)^{4n + 1} =$

(A)
$1$
(B)
$-1$
(C)
$i$
(D)
$-i$
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Q2.

If ${\left( {\frac{{1 + i}}{{1 - i}}} \right)^m} = 1$,then the least integral value of $m$ is:

(A)
$2$
(B)
$4$
(C)
$8$
(D)
None of these
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