1
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The area bounded by the parabola $y^2=36 x$ and its latus rectum is
A
216 sq units
B
108 sq units
C
27 sq units
D
54 sq units
2
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $n(A)=3$ and $n(B)=7$ and $A \subseteq B$ then the number of elements in $A \cap B$ is equal to
A
7
B
10
C
0
D
3
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=\sin ^{-1}\left(\frac{1}{\sqrt{x+1}}\right)$ then $\frac{d y}{d x}=$
A
$\frac{1}{2 \sqrt{1-x}}$
B
$\frac{1}{2 \sqrt{x}(1+\sqrt{x})}$
C
$\frac{1}{2 x(1+\sqrt{x})}$
D
$-\frac{1}{2 \sqrt{x}(1+x)}$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
$\int_0^\pi \frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}} d x$ is equal to
A
$\pi$
B
$2 \pi$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{2}$
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