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1
COMEDK 2026 Morning Shift
MCQ (Single Correct Answer)
+1
-0

The behaviour of the function $f(x)=\sin \left(2 x+\frac{\pi}{4}\right)$ on $\left(\frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$ is:

A

Strictly increasing on $\left(\frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$

B

Strictly increasing on $\left(\frac{\pi}{8}, \frac{3 \pi}{8}\right)$

C

Strictly decreasing on $\left(\frac{3 \pi}{8}, \frac{5 \pi}{8}\right)$

D

${\text { Strictly decreasing on }}\left(\frac{\pi}{8}, \frac{5 \pi}{8}\right)$

2
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
Let $f(x)=x \sqrt{4 a x-x^2}, a>0$ then $f^{\prime}(x)$ at $x=2 a$ is :
A
Does not exist
B
Zero
C
Decreasing
D
Increasing
3
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the function $f(x)=\mu \sin x+\frac{1}{3} \sin 3 x$ has its derivative equal to zero at $x=\frac{\pi}{3}$, then the value of ' $\mu$ ' is
A
0
B
$-$1
C
1
D
2
4
COMEDK 2025 Evening Shift
MCQ (Single Correct Answer)
+1
-0
A man is moving away from a tower 41.6 m high at a rate of $2 \mathrm{~m} / \mathrm{s}$. If the eyelevel of the man is 1.6 m above the ground, then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30 m from the foot of the tower is :
A
$-\frac{4}{125} \mathrm{rad} / \mathrm{sec}$
B
$\frac{4}{625} \mathrm{rad} / \mathrm{sec}$
C
$-\frac{2}{125} \mathrm{rad} / \mathrm{sec}$
D
$\frac{1}{625} \mathrm{rad} / \mathrm{sec}$
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