1
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the point $(x, y)$ satisfies the equation $\frac{x+i(x-2)}{3+i}-i =\frac{2 y+i(1-3 y)}{i-3}$, then $x+y=$

A

4

B

2

C

0

D

-2

2
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0
  1. If $\cos \alpha+\cos \beta+\cos \gamma=0$ and $\sin \alpha+\sin \beta+\sin \gamma=0$ then $\cos 2 \alpha+\cos 2 \beta+\cos 2 \gamma=$
A

$\frac{3}{2}$

B

$\cos ^2 \frac{\alpha}{2}+\cos ^2 \frac{\beta}{2}+\cos ^2 \frac{\gamma}{2}$

C

$3 \sin (\alpha+\beta+\gamma)$

D

$\cos (\alpha+\beta)+\cos (\beta+\gamma)+\cos (\gamma+\alpha)$

3
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

One of the values of $(-32 i)^{\frac{2}{5}}$ is

A

$4 \operatorname{cis} \frac{2 \pi}{5}$

B

$4 \operatorname{cis} \frac{3 \pi}{5}$

C

$4 \operatorname{cis} \frac{4 \pi}{5}$

D

$4 \operatorname{cis} \frac{6 \pi}{5}$

4
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \sqrt{(-3+4 i)(8+6 i)}= $$

A

$\pm(1+2 i)$

B

$\pm(3+i)$

C

$\pm(1+7 i)$

D

$\pm(7-i)$

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