1
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
$$-1-3 i$$
2
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
$$x=\left(n+\frac{1}{2}\right) \pi$$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The locus of a point $$z$$ satisfying $$|z|^2=\operatorname{Re}(z)$$ is a circle with centre

A
$$\left(0, \frac{1}{2}\right)$$
B
$$\left(-\frac{1}{2}, 0\right)$$
C
$$\left(\frac{1}{2}, 0\right)$$
D
$$\left(0,-\frac{1}{2}\right)$$
4
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Multiplicative inverse of the complex number $$(\sin \theta, \cos \theta)$$ is

A
$$(\sin \theta, \cos \theta)$$
B
$$(\sin \theta,-\cos \theta)$$
C
$$(\cos \theta,-\sin \theta)$$
D
$$(-\cos \theta, \sin \theta)$$
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