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1
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The angle between the curves $x y=6$ and $x^2 y=12$ is
A
$\tan ^{-1} \frac{3}{11}$
B
$\tan ^{-1} \frac{11}{3}$
C
$\tan ^{-1} \frac{2}{11}$
D
$\tan ^{-1} \frac{1}{11}$
2
MHT CET 2025 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
In the mean value theorem, $f^{\prime}(c)=\frac{f(b)-f(a)}{b-a}$, if $\mathrm{a}=0, \mathrm{~b}=\frac{1}{2}$ and $\mathrm{f}(x)=x(x-1)(x-2)$, then the value of $c$ is
A
$1-\frac{\sqrt{15}}{6}$
B
$\quad 1-\frac{\sqrt{13}}{6}$
C
$\quad 1-\frac{\sqrt{21}}{6}$
D
$1+\frac{\sqrt{21}}{6}$
3
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The rate of change of the volume of a sphere with respect to its surface area, when its radius is 2 cm , is _________ $\mathrm{cm}^3 / \mathrm{cm}^2$.

A
0.1
B
0.5
C
1
D
2
4
MHT CET 2024 16th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Water is being poured at the rate of $36 \mathrm{~m}^3 / \mathrm{min}$ into a cylindrical vessel, whose circular base is of radius 3 meters. Then the water level in the cylinder is rising at the rate of

A
$4 \pi \mathrm{~m} / \mathrm{min}$
B
$\frac{4}{\pi} \mathrm{~m} / \mathrm{min}$
C
$\frac{1}{4 \pi} \mathrm{~m} / \mathrm{min}$
D
$\frac{\pi}{4} \mathrm{~m} / \mathrm{min}$
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Straight Lines and Pair of Straight Lines Circle Parabola Ellipse Hyperbola
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