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

1989 190 KCETKCET 2021Complex Numbers and Quadratic Equations Report Error

A

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

9%

B

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

23%

C

$x = 2 n; n \in N$

26%

D

$x = 4 n; n \in N$

42%

Solution:

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