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

Let $z=x+i y$ and $P(x, y)$ be a point on the argand plane. If $z$ satisfies the condition $\arg \left(\frac{z-3 i}{z+2 i}\right)=\frac{\pi}{4}$, then the locus of $P$ is

A

$x^2+y^2-y-6=0,(x, y) \neq(0,-2)$

B

$x^2+y^2-x-y-6=0,(x, y) \neq(0,-2)$

C

$x^2+y^2+5 x-y-6=0,(x, y) \neq(0,-2)$

D

$x^2+y^2+x-y-6=0,(x, y) \neq(0,-2)$

2
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

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

3
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

$-8 i$

4
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
$\tan ^{-1}\left(\frac{1}{3}\right)$
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