1
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Imaginary part of $\frac{(1-i)^3}{(2-i)(3-2 i)}$ is
A
$\frac{22}{65}$
B
$\frac{6}{65}$
C
$-\frac{6}{65}$
D
$-\frac{22}{65}$
2
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The square root of $7+24 i$
A
$4-3 i$
B
$3+4 i$
C
$3-4 i$
D
$4+3 i$
3
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $n$ is an integer and $Z=\cos \theta+i \sin \theta, \theta \neq(2 n+1) \frac{\pi}{2}$, then $\frac{1+Z^{2 n}}{1-Z^{2 n}}=$
A
$i \tan n \theta$
B
$i \cot n \theta$
C
$-i \tan n \theta$
D
$-i \cot n \theta$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $x$ is real and $\alpha, \beta$ are maximum and minimum values of $\frac{x^2-x+1}{x^2+x+1}$ respectively, then $\alpha+\beta=$
A
$\frac{10}{3}$
B
$\frac{8}{3}$
C
$\frac{4}{3}$
D
$\frac{2}{3}$
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