1
COMEDK 2024 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If }(1-4 i)^3=a+i b \text { then the value of } \mathrm{a} \text { and } \mathrm{b} \text { is } $$

A
$$-47,52$$
B
$$49,-74$$
C
$$-74,49$$
D
$$-48,-52$$
2
COMEDK 2024 Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The modulus of the following complex number } \frac{1+i}{1-i}-\frac{1-i}{1+i} \text { is } $$

A
0
B
1
C
2
D
16
3
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$z=\sqrt{3}+i$$, then the argument of $$z^2 e^{z-i}$$ is equal to

A
$$e^{\pi / 3}$$
B
$$\frac{\pi}{3}$$
C
$$\frac{\pi}{6}$$
D
$$e^{\pi / 6}$$
4
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$i=\sqrt{-1}$$ and $$n$$ is a positive integer, then $$i^n+i^{n+1}+i^{n+2}+i^{n+3}$$ is equal to

A
1
B
$$i$$
C
$$i^n$$
D
0
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