1
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

$2 i \sinh x \sin y$

2
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

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

3
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

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

4
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

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

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