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

The range of $$x$$ which satisfy the inequation : $$-5 \leq \frac{2-3 x}{4} \leq 9$$ is

A
$$ \left(-\frac{34}{3},-\frac{22}{3}\right) $$
B
$$ \left[-\frac{34}{3}, \frac{22}{3}\right) $$
C
$$ \left[-\frac{34}{3}, 8\right] $$
D
$$ \left[-\frac{34}{3}, \frac{22}{3}\right] $$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \int \frac{\cos 4 x+1}{\cot x-\tan x} d x= $$

A
$$ -\frac{1}{2} \cos 2 x+c $$
B
$$ -\frac{1}{8} \cos 4 x+c $$
C
$$ -\frac{1}{4} \cos 4 x+c $$
D
$$ -\frac{1}{16} \cos 8 x+c $$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Le $$x$$ be the arithmetic mean and $$y, z$$ be the two geometric means between any two positive numbers, then $$\frac{y^3+z^3}{x y z}=$$ -----------

A
$$ \frac{1}{3} $$
B
1
C
$$ \frac{1}{2} $$
D
2
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A man grows into a giant such that his height increases to 8 times his original height. Assuming that his density remains same, the stress in the leg will change by a factor of

A
$$2 \sqrt{2}$$
B
4
C
16
D
8
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