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UPSC NDA Math Model Paper 4
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© examsnet.com
Question : 27
Total: 120
Find the principal arguments of the following Complex Number
z
=
−
7
+
7
√
3
i
.
−
2
π
3
−
π
3
2
π
3
π
6
Validate
Solution:
Given complex number is
z
=
−
7
+
7
√
3
i
.
As it can be clearly seen it lies in second quadrant.
∴
Principle argument
θ
=
π
−
tan
−
1
y
x
⇒
θ
=
tan
−
1
7
√
3
−
7
=
tan
−
1
(
−
√
3
)
=
π
−
π
3
=
2
π
3
© examsnet.com
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