1
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation of lowest degree with rational coefficients having roots $\sqrt{3}+\sqrt{2} i$ and $\sqrt{3}-\sqrt{2}$ is

A

$\left(x^4-2 x^2+25\right)\left(x^4-10 x^2+1\right)=0$

B

$\left(x^2-2 \sqrt{3} x+5\right)\left(x^2-2 \sqrt{3} x+1\right)=0$

C

$\left(x^4-2 x^2+25\right)\left(x^4+10 x^2+1\right)=0$

D

$\left(x^4-10 x^2+1\right)\left(x^4+2 x^2+25\right)=0$

2
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

3
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

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

4
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

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

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