1
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

$512 \sqrt{3}$

2
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

3
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

$-12-2 i$

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

The set of all values of $\theta$ such that $\frac{1-i \cos \theta}{1+2 i \sin \theta}$ is purely imaginary is

A

$\left\{n \pi+(-1)^n \frac{\pi}{4}, n \in z\right\}$

B

$\left\{\frac{n \pi}{2}+(-1)^n \frac{\pi}{4}, n \in z\right\}$

C

$\left\{n \pi+(-1)^n \frac{\pi}{2}, n \in z\right\}$

D

$\left\{2 n \pi \pm \frac{\pi}{4}, n \in z\right\}$

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