1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\frac{x-1}{3+i}+\frac{y-1}{3-i}=i$ then $(y, x)=$
A
$(-6,-4)$
B
$(-4,-6)$
C
$(6,-4)$
D
$(-4,6)$
2
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
$$-48,-52$$
3
COMEDK 2024 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { The value of } \frac{i^{1004}+i^{1006}+i^{1008}+i^{1010}+i^{1012}}{i^{510}+i^{508}+i^{506}+i^{504}+i^{502}} \text { is } $$

A
1
B
i
C
$$-1$$
D
$$-$$i
4
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
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