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Byju's Answer
Standard XII
Mathematics
Properties of Conjugate of a Complex Number
The conjugate...
Question
The conjugate of the complex number
2
+
5
i
4
−
3
i
is
A
7
−
26
i
25
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B
−
7
−
26
i
25
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C
−
7
+
26
i
25
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D
7
+
26
i
25
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Solution
The correct option is
D
7
−
26
i
25
Conjugate of
2
+
5
i
4
−
3
i
is
Multiply & divide
4
+
3
i
(
2
+
5
i
)
(
4
+
3
i
)
(
4
+
3
i
)
(
4
−
3
i
)
=
8
+
6
i
+
20
i
−
1
16
+
9
⇒
26
i
−
7
16
+
9
∴
Conjugate is
−
7
−
26
i
25
∴
Conjugate of
a
+
i
b
=
a
−
i
b
.
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Q.
The conjugate of the complex number
2
+
5
i
4
−
3
i
is