1
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$e^{i \theta}=\operatorname{cis} \theta$$, then $$\sum_\limits{n=0}^{\infty} \frac{\cos (n \theta)}{2^n}=$$

A
$$(4+2 \cos \theta) /(5-4 \cos \theta)$$
B
$$(4-2 \cos \theta) /(5+4 \cos \theta)$$
C
$$(4-2 \cos \theta) /(5-4 \cos \theta)$$
D
$$(4+2 \cos \theta) /(5+4 \cos \theta)$$
2
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$i z^3+z^2-z+i=0 \Rightarrow|z|=$$

A
1/2
B
2
C
3/2
D
1
3
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\frac{x-1}{3+i}+\frac{y-1}{3-i}=i$$, then the true statement among the following is

A
$$x<0, y<0$$
B
$$x<0, y>0$$
C
$$x>0, y<0$$
D
$$x>0, y>0$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The number of integer solutions of the equation $$|1-i|^x=2^x$$ is

A
1
B
0
C
2
D
3
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