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Byju's Answer
Standard XII
Mathematics
Complex Numbers
If a2 + b2 ...
Question
If
a
2
+
b
2
=
1
, then
1
+
b
+
i
a
1
+
b
−
i
a
=
A
1
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B
2
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C
b + ia
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D
a + ib
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Solution
The correct option is
C
b + ia
Given that
a
2
+
b
2
=
1
∴
1
+
b
+
i
a
1
+
b
−
i
a
=
(
1
+
b
+
i
a
)
(
1
+
b
+
i
a
)
(
1
+
b
−
i
a
)
(
1
+
b
+
i
a
)
=
(
1
+
b
)
2
−
a
2
+
2
i
a
(
1
+
b
)
1
+
b
2
+
2
b
+
a
2
=
(
1
−
a
2
)
+
2
b
+
b
2
+
2
i
a
(
1
+
b
)
2
(
1
+
b
)
=
2
b
2
+
2
b
+
2
i
a
(
1
+
b
)
2
(
1
+
b
)
=
b
+
i
a
Suggest Corrections
2
Similar questions
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a
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b
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)
=
1
1
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i
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If
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→
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