1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\frac{3-2 i \sin \theta}{1+2 i \sin \theta}$ is purely imaginary number, then $\theta=$
A
$2 n \pi \pm \frac{\pi}{4}$
B
$2 n \pi \pm \frac{\pi}{2}$
C
$n \pi \pm \frac{\pi}{3}$
D
$n \pi \pm \frac{\pi}{6}$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $z=x+i y, x^2+y^2=1$ and $z_1=z e^{i \theta}$, then $\frac{z_1^{2 n}-1}{z_1^{2 n}+1}=$
A
$-i \tan \left(n\left(\theta+\tan ^{-1}\left(\frac{y}{x}\right)\right)\right)$
B
$i \cot \left(n\left(\theta+\tan ^{-1} \frac{y}{x}\right)\right)$
C
$i \tan \left(n\left(\theta+\tan ^{-1} \frac{x}{u}\right)\right)$
D
$i \tan \left(n\left(\theta+\tan ^{-1} \frac{y}{x}\right)\right)$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Let $[r]$ denote the largest integer not exceeditio $r$ and the roots of the equation $3 x^2+6 x+5+\alpha\left(x^2+2 x+2\right)=0$ are complex number when ever $\alpha>L$ and $\alpha
A
$L$
B
$M$
C
$L+M$
D
$M-L$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
For any real value of $x$. If $\frac{11 x^2+12 x+6}{x^2+4 x+2} \notin(a, b)$, then the value $x$ for which $\frac{11 x^2+12 x+6}{x^2+4 x+2}=b-a+3$ is
A
$\frac{3}{4}$
B
$\frac{3}{2}$
C
2
D
$-\frac{1}{2}$
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