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Byju's Answer
Standard XII
Mathematics
Properties of Conjugate of a Complex Number
If a - 1/a ...
Question
If
a
ā
1
a
=
2
, then
a
2
+
1
a
2
will be equal to
A
6
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B
0
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C
4
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D
None
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Solution
The correct option is
A
6
Given,
a
−
1
a
=
2
On squaring both sides, we get
a
2
+
1
a
2
−
2
×
a
×
1
a
=
4
⇒
a
2
+
1
a
2
−
2
=
4
⇒
a
2
+
1
a
2
=
6
Hence, Option A is correct.
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