1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The set of all real values of $ c $ for which the equation $ z\overline{z} + (4 - 3i)z + (4 + 3i)\overline{z} + c = 0 $ represents a circle, is
A
[25, 50]
B
[-5, 5]
C
$[-20, -5] \cup [5, 20]$
D
[-25]
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $ z = x + iy $ is a complex number, then the number of distinct solutions of the equation $ z^3 + \overline{z} = 0 $ is
A
1
B
3
C
Infinite
D
5
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

By simplifying $$i^{18}-3 i^7+i^2\left(1+i^4\right)(i)^{22}$$, we get

A
$$-1+3 i$$
B
$$1-3 i$$
C
$$1+3 i$$
D
$$-1-3 i$$
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The values of $$x$$ for which $$\sin x+i \cos 2 x$$ and $$\cos x-i \sin 2 x$$ are conjugate to each other are

A
$$x=n \pi \pm \frac{\pi}{6}$$
B
None
C
$$x=n \pi \pm \frac{\pi}{3}$$
D
$$x=\left(n+\frac{1}{2}\right) \pi$$
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