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1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $z=1-\sqrt{3} i$, then $z^3-3 z^2+3 z=$
A
0
B
$1+3 \sqrt{3} i$
C
1
D
$2+3 \sqrt{3} i$
2
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The product of all the values of $(\sqrt{3}-i)^{\frac{2}{5}}$ is
A
$2(\sqrt{3}-i)$
B
$2(\sqrt{3}+i)$
C
$2(1-\sqrt{3} i)$
D
$2(1+\sqrt{3} i)$
3
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The number of common roots among the 12 th and 30th roots of unity is
A
12
B
9
C
8
D
6
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\sqrt{5}-i \sqrt{15} \doteqdot r(\cos \theta+i \sin \theta),-\pi<\theta<\pi$, then $r^2\left(\sec \theta+3 \operatorname{cosec}^2 \theta\right)=$

A
40
B
60
C
120
D
180
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