Q. If $(\frac{1 + i}{1 - i})^{x} = 1$ then

1888 168 KCETKCET 2021Complex Numbers and Quadratic Equations Report Error

A

$x = 4 n + 1; n \in N$

10%

B

$x = 2 n + 1; n \in N$

27%

C

$x = 2 n; n \in N$

28%

D

$x = 4 n; n \in N$

36%

Solution:

$(\frac{1 + i}{1 - i})^{x} = 1$
$\Rightarrow i^{x} = 1$