1
TS EAMCET 2023 (Online) 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\frac{3 x+2}{(x+1)\left(2 x^2+3\right)}=\frac{A}{x+1}+\frac{B x+C}{2 x^2+3}$, then $A-B+C=$

A

2

B

1

C

3

D

6

2
TS EAMCET 2023 (Online) 14th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $x=\log \left(y+\sqrt{y^2+1}\right)$, then $y=$

A

$\tanh x$

B

$\operatorname{coth} x$

C

$\sinh x$

D

$\cosh x$

3
TS EAMCET 2023 (Online) 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $i^2=-1$, then $(1+\sqrt{3} i)^{2022}-(\sqrt{3}-i)^{2022}=$

A

$2^{2023}$

B

0

C

$2^{2022}$

D

$3^{1011}$

4
TS EAMCET 2023 (Online) 13th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\left(\frac{\sqrt{3}+i}{\sqrt{3}-i}\right)^4+\left(\frac{\sqrt{3}-i}{\sqrt{3}+i}\right)^4=r$ cis $\theta$, then one of the values of $\sqrt{r \operatorname{cis} \theta}$ is

A

$\operatorname{cis}\left(\frac{3 \pi}{4}\right)$

B

$\operatorname{cis}\left(\frac{3 \pi}{2}\right)$

C

$\operatorname{cis}\left(\frac{\pi}{3}\right)$

D

$\operatorname{cis} \pi$

TS EAMCET Subjects

Browse all chapters by subject