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Standard XI
Mathematics
NCERT
Question
Express the given complex number in the form
a
+
i
b
:
i
−
39
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Solution
Verified by Toppr
i
−
39
=
i
4
×
(
−
9
)
−
3
=
(
i
4
)
−
9
.
i
−
3
=
(
1
)
−
9
.
i
−
3
,
[
∵
i
4
=
1
]
=
1
i
3
=
1
−
i
,
[
∵
i
3
=
−
i
]
=
−
1
i
×
i
i
=
−
i
i
2
=
−
i
−
1
=
i
,
[
∵
i
2
=
−
1
]
=
a
+
i
b
, where
a
=
0
,
b
=
1
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