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Byju's Answer
Standard XIII
Mathematics
Properties of Conjugate of a Complex Number
The conjugate...
Question
The conjugate of
(
4
+
5
i
)
2
is
A
−
9
−
40
i
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B
−
9
+
40
i
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C
9
−
40
i
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D
9
+
40
i
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Solution
The correct option is
A
−
9
−
40
i
Let
z
=
(
4
+
5
i
)
2
Now,
⇒
z
=
4
2
+
(
5
i
)
2
+
40
i
⇒
z
=
16
−
25
+
40
i
⇒
z
=
−
9
+
40
i
∴
¯
¯
¯
z
=
−
9
−
40
i
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Properties of Conjugate of a Complex Number
Standard XIII Mathematics
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