1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\sin ^{-1}\left[\sin \left(-600^{\circ}\right)\right]+\cot ^{-1}(-\sqrt{3})=$$

A
$$\frac{\pi}{6}$$
B
$$\frac{\pi}{4}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{7 \pi}{6}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{m}$$ is order and $$\mathrm{n}$$ is degree of the differential equation $$y=\frac{d p}{d x}+\sqrt{a^2 p^2-b^2}$$, where $$p=\frac{d y}{d x}$$, then the value of $$m+n$$ is

A
2
B
3
C
4
D
5
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The surface area of a spherical balloon is increasing at the rate $$2 \mathrm{~cm}^2 / \mathrm{sec}$$. Then rate of increase in the volume of the balloon is , when the radius of the balloon is $$6 \mathrm{~cm}$$.

A
$$4 \mathrm{~cm}^3 / \mathrm{sec}$$.
B
$$16 \mathrm{~cm}^3 / \mathrm{sec}$$.
C
$$36 \mathrm{~cm}^3 / \mathrm{sec}$$.
D
$$6 \mathrm{~cm}^3 / \mathrm{sec}$$.
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The p.m.f. of a random variable X is $$\mathrm{P(X = x) = {1 \over {{2^5}}}\left( {_x^5} \right),x = 0,1,2,3,4,5}=0$$ then

A
$$\mathrm{P}(\mathrm{X} \leq 2)<\mathrm{P}(\mathrm{X} \geq 3)$$
B
$$\mathrm{P}(\mathrm{X} \leq 2)>\mathrm{P}(\mathrm{X} \geq 3)$$
C
$$\mathrm{P}(\mathrm{X} \leq 2)=2 \mathrm{P}(\mathrm{X} \geq 3)$$
D
$$\mathrm{P}(\mathrm{X} \leq 2)=\mathrm{P}(\mathrm{X} \geq 3)$$
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