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Byju's Answer
Standard XI
Mathematics
Properties of Cube Root of a Complex Number
If z = i i i ...
Question
If
z
=
(
i
)
(
i
)
(
i
)
, where i =
√
−
1
, then |z| is equal to:
A
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B
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C
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D
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Solution
The correct option is
A
i
=
e
i
π
2
Then
i
i
=
⟮
e
i
π
2
⟯
i
=
e
−
π
2
So |z| = 1