1
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
2
COMEDK 2023 Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$\left(\frac{3}{2}+i \frac{\sqrt{3}}{2}\right)^{50}=3^{25}(x+i y)$$, where $$x$$ and $$y$$ are real, then the ordered pair $$(2 x, 2 y)$$ is

A
$$(-6,0)$$
B
$$(0,6)$$
C
$$(0,-6)$$
D
$$(1, \sqrt{3})$$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the conjugate of $$(x+i y)(1-2 i)$$ be $$1+i$$, then

A
$$ x=\frac{1}{5} $$
B
$$ y=\frac{3}{5} $$
C
$$ x-i y=\frac{1-i}{1+2 i} $$
D
$$ x+i y=\frac{1-i}{1-2 i} $$
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The argument of $${{1 - i\sqrt 3 } \over {1 + i\sqrt 3 }}$$ is

A
$${\pi \over 3}$$
B
$${{2\pi } \over 3}$$
C
$${{4\pi } \over 3}$$
D
$${{ - 2\pi } \over 3}$$
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