1
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of $\frac{\log x}{x}$ is

A
$\mathrm{e}$
B
$\mathrm{2 e}$
C
$\frac{1}{\mathrm{e}}$
D
$\frac{2}{\mathrm{e}}$
2
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If the curves $y^2=6 x, 9 x^2+\mathrm{b} y^2=16$ intersect each other at right angles, then the value of $b$ is

A
$\frac{9}{2}$
B
6
C
7
D
$\frac{7}{2}$
3
MHT CET 2024 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If Mean value theorem holds for the function $\mathrm{f}(x)=(x-1)(x-2)(x-3), x \in[0,4]$ then the values of $c$ as per the theorem are

A
$2 \pm \frac{4}{\sqrt{3}}$
B
$2 \pm \frac{2}{\sqrt{3}}$
C
$2 \pm \sqrt{2}$
D
$2 \pm \sqrt{3}$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A ladder 5 m long rests against a vertical wall. If its top slides downwards at the rate of $10 \mathrm{~cm} / \mathrm{sec}$., then the foot of the ladder is sliding at the rate of _________ $\mathrm{m} / \mathrm{sec}$., when it is 4 m away from the wall.

A
0.75
B
7.5
C
0.0075
D
0.075
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