1
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$f(x)=\log |\sin x|$$, where $$x \in(0, \pi)$$ is strictly increasing on

A
$$\left(\frac{\pi}{2}, \pi\right)$$ only
B
$$(0, \pi)$$ only
C
$$\left(0, \frac{\pi}{2}\right)$$ only
D
$$\left(\frac{\pi}{4}, \frac{3 \pi}{4}\right)$$ only
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The velocity of a particle at time $$t$$ is given by the relation $$v=6 t-\frac{t^2}{6}$$. Its displacement S is zero at $$\mathrm{t}=0$$, then the distance travelled in $$3 \mathrm{~sec}$$ is

A
$$\frac{51}{2}$$ units
B
$$\frac{39}{2}$$ units
C
$$\frac{57}{2}$$ units
D
$$\frac{33}{2}$$ units
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The order of the differential equation whose solution is $$y=a \cos x+b \sin x+c e^{-x}$$ is

A
3
B
4
C
2
D
1
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The sqaure roots of the complex number $$(-5-12 \mathrm{i})$$ are

A
$$\pm(2-3 i)$$
B
$$\pm(3+2 \mathrm{i})$$
C
$$\pm(2+3 i)$$
D
$$\pm(3-2 \mathrm{i})$$
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