1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
Identify the correct statement
A
$A \cup A^{\prime}=\emptyset$
B
$A-B=A^{\prime} \cap B$
C
$(A \cup B)^{\prime}=A^{\prime} \cup B^{\prime}$
D
$A \subseteq B \Rightarrow B^{\prime} \subseteq A^{\prime}$
2
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
$(-4,6)$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
A line $L_1$ passing through the point A with position vector $\vec{a}=4 \hat{i}+2 \hat{j}+2 \hat{k}$ is parallel to the vector $\vec{b}=2 \hat{i}+3 \hat{j}+6 \hat{k}$. The length of the perpendicular drawn from a point P with position vector $\vec{p}=\hat{i}+2 \hat{j}+3 \hat{k}$ to $L_1$ is
A
0
B
$\sqrt{15}$
C
$2\sqrt3$
D
$\sqrt{10}$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is
A
$\frac{\sqrt{5}+1}{2}$
B
$\frac{1-\sqrt{5}}{2}$
C
$\frac{\sqrt{5}-1}{2}$
D
$\frac{1 \pm \sqrt{5}}{2}$
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