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Byju's Answer
Standard XII
Mathematics
Complex Numbers
Values of -...
Question
Value(s) of
(
−
i
)
1
/
3
is/are
A
√
3
−
i
2
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B
√
3
+
i
2
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C
−
√
3
−
i
2
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D
−
√
3
+
i
2
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Solution
The correct options are
A
−
√
3
−
i
2
B
√
3
−
i
2
Let
x
3
=
−
i
or
⇒
(
x
3
+
i
)
=
0
⇒
(
x
3
+
(
−
i
)
3
)
=
0
⇒
(
x
3
−
(
i
)
3
)
=
0
⇒
(
x
−
i
)
(
x
2
−
1
+
i
x
)
=
0
∴
x
=
i
and
⇒
x
2
+
i
x
−
1
=
0
⇒
x
=
−
i
±
√
−
1
+
4
2
=
−
i
±
√
3
2
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The value of
(
−
i
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1
3
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