1
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If a complex number $z=x+i y$ represents a point $p(x, y)$ in the argand plane and $z$ satisfies the condition that the imaginary part of $\frac{z-3}{z+3 i}$ is zero, then the locus of the point $P$ is

A

$x^2+y^2-3 x+3 y=0,(x, y) \neq(0,-3)$

B

$2 x y-3 x+3 y+9=0,(x, y) \neq(0,-3)$

C

$x-y-3=0,(x, y) \neq(0,-3)$

D

$x+y+3=0,(x, y) \neq(0,-3)$

2
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ (\sqrt{3}+i)^{10}+(\sqrt{3}-i)^{10}= $$

A

$1024 \sqrt{3}$

B

1024

C

2048

D

$512 \sqrt{3}$

3
TG EAPCET 2025 (Online) 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Number of real values of $(-1-\sqrt{3 i})^{3 / 4}$ is

A

0

B

1

C

2

D

3

4
TG EAPCET 2025 (Online) 3rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

One of the values of $\sqrt{24-70 i}+\sqrt{-24+70 i}$ is

A

$2+12 i$

B

$12-2 i$

C

$-12+2 i$

D

$-12-2 i$

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