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Byju's Answer
Standard XII
Mathematics
Algebra of Complex Numbers
If i2 = -1,...
Question
If
i
2
=
−
1
, calculate the value of
3
i
2
+
i
3
−
i
4
.
A
−
4
−
i
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B
−
2
−
i
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C
2
+
i
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D
4
+
i
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E
6
+
2
i
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Solution
The correct option is
A
−
4
−
i
i
is an imaginary number whose value is
√
−
1
So,
i
2
=
−
1
i
3
=
i
2
∗
i
=
−
1
∗
i
=
−
i
i
4
=
(
i
2
)
2
=
(
−
1
)
2
=
1
So the value of
3
i
2
+
i
3
−
i
4
is
⇒
3
×
(
−
1
)
+
(
−
i
)
−
(
1
)
⇒
−
3
−
i
−
1
=
−
4
−
i
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0
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Q.
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