1
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $Z$ is a complex number such that $|Z| \leq 3$ and $\frac{-\pi}{2} \leq \operatorname{amp} Z \leq \frac{\pi}{2}$, then the area of the region formed by locus of $Z$ is

A
$9 \pi$
B
$\frac{9 \pi}{2}$
C
$3 \pi$
D
$\frac{9 \pi}{4}$
2
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The locus of the complex number $Z$ such that $\arg \left(\frac{Z-1}{Z+1}\right)=\frac{\pi}{4}$ is
A
a straight line
B
a circle
C
a parabola
D
an ellipse
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
All the values of $(8 i)^{\frac{1}{3}}$ are
A
$\pm(\sqrt{3}+i),-2 i$
B
$\pm \sqrt{3}+i,-2 i$
C
$\pm(\sqrt{3}-i), 2 i$
D
$\pm(2+i), i$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the number of real roots of $x^9-x^5+x^4-1=0$ is $n$, the number of complex roots having argument on imaginary axis is $m$ and the number of complex roots having argument in 2nd quadrant is $K, m \cdot n \cdot k=$
A
6
B
9
C
12
D
24
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