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

If $(2-i)$ is one of the roots of the equation $x^4-9 x^3+31 x^2-49 x+30=0$ and $\alpha, \beta(\alpha<\beta)$ are its real roots, then $2 \alpha-\beta=$

A

3

B

2

C

1

D

0

2
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $e^{i t}=\cos t+i \sin t$ and $e^{-i t}=\cos t-i \sin t$, then $\cosh (x+i y)-\cosh (x-i y)=$

A

$2 \sinh x \sinh y$

B

$2 i \sinh x \cos y$

C

$2 \cosh x \cos y$

D

$2 i \sinh x \sin y$

3
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $(2 x-y+1)+i(x-2 y-1)=2-3 i$, then the multiplicative inverse of $(x-i y)$ is

A

$\frac{15}{41}+\frac{12}{41} i$

B

$\frac{6}{29}+\frac{15}{29} i$

C

$\frac{15}{29}+\frac{6}{29} i$

D

$\frac{12}{41}+\frac{15}{41} i$

4
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\cos \alpha$ is the common value of $(-1)^{\frac{1}{4}}$ and $(-i)^{\frac{1}{2}}$ then $\tan \alpha=$

A

-1

B

1

C

$\sqrt{3}$

D

$\frac{1}{\sqrt{3}}$

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