Q. $i^{57} + \frac{1}{_{i} 125}$ , is equal to

2181 243 Complex Numbers and Quadratic Equations Report Error

A

$2 i$

19%

B

$- 2 i$

21%

C

$0$

51%

D

$2$

9%

Solution:

$i^{4 n} = 1$ and $i^{4 n + 1}$
$= i (n \in N)$
$∴ i^{57} + \frac{1}{i ^{125}} = i + \frac{1}{i}$
$= i - i$
$= 0$