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1
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\omega$ is a complex cube root of unity and $x=\omega^2-\omega+2$, then

A

$x^2-4 x+7=0$

B

$x^2+4 x+7=0$

C

$x^2-2 x+4=0$

D

$x^2+2 x+4=0$

2
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The product of all the values of $(\sqrt{3}-i)^{\frac{3}{7}}$ is

A

8

B

-8

C

$8 i$

D

$-8 i$

3
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $z=\frac{(2-i)(1+i)^{3}}{(1-i)^{2}}$, then $\arg (z)=$
A
$\tan ^{-1}\left(\frac{1}{3}\right)-\pi$
B
$\tan ^{-1}\left(\frac{3}{4}\right)-\pi$
C
$\pi-\tan ^{-1}\left(\frac{3}{4}\right)$
D
$\tan ^{-1}\left(\frac{1}{3}\right)$
4
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$z=x+i y$ and the point $P$ represents $z$ in the argand plane. If the amplitude of $\left(\frac{2 z-i}{z+2 i}\right)$ is $\frac{\pi}{4}$, then the equation of the locus of $P$ is
A
$2 x^{2}+2 y^{2}-3 x+3 y-2=0,(x, y) \neq(0,-2)$
B
$\left.2 x^{2}+2 y^{2}+5 x+3 y-2=0,(x, y) \neq 0,-2\right)$
C
$\left.2 x^{2}+2 y^{2}+3 x+3 y-2=0,(x, y) \neq 0,2\right)$
D
$2 x^{2}+2 y^{2}-5 x+3 y-2=0,(x, y) \neq(0,2)$
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