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Byju's Answer
Standard XII
Mathematics
Properties of Iota
If 'n' Odd ...
Question
If
′
n
′
Odd integer, then
(
1
+
i
)
6
n
+
(
1
−
i
)
6
n
is equal to :
A
0
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B
2
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C
−
2
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D
2
i
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Solution
The correct option is
A
0
N
o
w
,
(
1
+
i
)
6
n
+
(
1
−
i
)
6
n
=
(
(
1
+
i
)
2
)
3
n
+
(
(
1
−
i
)
2
)
3
n
=
(
2
i
)
3
n
+
(
−
2
i
)
3
n
i
f
n
i
s
o
d
d
i
i
n
t
e
r
g
e
r
a
b
o
v
e
r
e
s
s
i
o
n
i
s
Z
e
r
o
.
O
p
t
i
o
n
A
i
s
c
o
r
r
e
c
t
a
n
s
w
e
r
.
Suggest Corrections
1
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