Question:
The smallest positive integer n for which [(1 - i) / (1 + i)]n2 = 1, where i = √-1, is
The smallest positive integer n for which [(1 - i) / (1 + i)]n2 = 1, where i = √-1, is
Options:
- 2
- 6
- 4
- 8
- 2
- 6
- 4
- 8
Correct Answer: a)
Explanation:
I Weha√e (=) =1.0) “
» \1+i
‘ Now, 49 = £9 x =
_ (-ip?
Tn
e
i From Eq.(i), (—i)”” =1 ‘
Suppose we take n = 2, therefore
EGU
i = (-D)f x (9) =1
= 1x 1=1, which is true.
HR “
i (¢) The real part of z is zero
1
I Weha√e (=) =1.0) “
» \1+i
‘ Now, 49 = £9 x =
_ (-ip?
Tn
e
i From Eq.(i), (—i)”” =1 ‘
Suppose we take n = 2, therefore
EGU
i = (-D)f x (9) =1
= 1x 1=1, which is true.
HR “
i (¢) The real part of z is zero
1