1
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The rate of change of the volume of a sphere with respect to its surface area, when the radius is 5 m is

A
$\frac{5}{2} \mathrm{~m}$
B
$\frac{2}{5} \mathrm{~m}$
C
$\frac{1}{2} \mathrm{~m}$
D
$\frac{1}{3} \mathrm{~m}$
2
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The maximum value of the function $a \sin x+b \cos x$ is

A
$\sqrt{a^2+b^2}$
B
$\sqrt{a^2-b^2}$
C
$\mathrm{a}^2+\mathrm{b}^2$
D
$\mathrm{a}^2-\mathrm{b}^2$
3
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The number of values of $x$ in the interval $[0,3 \pi]$ satisfying the equation $2 \sin ^2 x+5 \sin x-3=0$ is
A
6
B
1
C
2
D
4
4
MHT CET 2025 25th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$ \lim\limits_{x \rightarrow 5} \frac{\sqrt{2-2 \cos \left(x^2-12 x+35\right)}}{(x-5)}=\ldots \ldots $$

A
$\frac{2}{-5}$
B
-2
C
$\frac{-1}{2}$
D
-5
MHT CET Papers
EXAM MAP