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Byju's Answer
Standard XII
Mathematics
Definition of Limit
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
+
i
a
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D
a
+
i
b
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Solution
The correct option is
B
b
+
i
a
Given
a
2
+
b
2
=
1
⇒
1
+
b
+
i
a
1
+
b
−
i
a
=
(
1
+
b
+
a
i
)
2
(
1
+
b
)
2
+
a
2
=
1
+
b
2
−
a
2
+
2
b
+
2
i
a
b
+
2
i
a
1
+
b
2
+
2
b
+
a
2
=
1
+
b
2
−
a
2
+
2
b
+
2
i
a
b
+
2
i
a
2
+
2
b
=
2
b
2
+
2
b
+
2
i
a
(
1
+
b
)
2
+
2
b
=
b
+
i
a
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