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AP EAPCET 08-Jul-2022 Shift 2 Paper
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© examsnet.com
Question : 9
Total: 160
A complex number
z
among the following which does not satisfy
z
3
+
27
i
=
0
is
(
3
√
3
−
3
i
)
/
2
−
3
i
(
3
√
3
+
3
i
)
/
2
(
−
3
√
3
+
3
i
)
/
2
Validate
Solution:
Given,
z
3
+
27
i
=
0
⇒
z
3
−
(
3
i
)
3
=
0
⇒
(
z
−
3
i
)
(
z
2
+
3
z
i
−
9
)
=
0
If
z
−
3
i
=
0
⇒
z
=
3
i
If
z
2
+
3
z
i
−
9
=
0
⇒
z
=
−
3
i
±
√
−
9
+
36
2
=
−
3
i
±
3
√
3
2
⇒
z
=
3
√
3
−
3
i
2
,
3
√
3
−
3
i
2
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