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

$$\sum_\limits{k=0}^{440} i^k=x+i y \Rightarrow x^{100}+x^{99} y+x^{242} y^2+x^{97} y^3=$$

A
0
B
$$-$$4
C
4
D
1
2
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
$$(4+2 \cos \theta) /(5+4 \cos \theta)$$
3
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
4
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
$$x>0, y>0$$
AP EAPCET Subjects
EXAM MAP