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Standard XI
Mathematics
NCERT
Question
Express the given complex number in the form
a
+
i
b
:
(
1
5
+
i
2
5
)
−
(
4
+
i
5
2
)
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Solution
Verified by Toppr
(
1
5
+
i
2
5
)
−
(
4
+
i
5
2
)
=
1
5
+
2
5
i
−
4
−
5
2
i
=
(
1
5
−
4
)
+
i
(
2
5
−
5
2
)
=
−
19
5
+
i
(
−
21
10
)
=
−
19
5
−
21
10
i
=
a
+
i
b
,
where
a
=
−
19
5
,
b
=
−
21
10
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2
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