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

If $$\mathrm{p}$$ : It is raining and $$\mathrm{q}$$ : It is pleasant, then the symbolic form of "It is neither raining nor pleasant" is

A
$$\sim \mathrm{p} \wedge \mathrm{q}$$
B
$$\sim \mathrm{p} \vee \mathrm{q}$$
C
$$(\sim p) \wedge(\sim q)$$
D
$$(\sim p) \vee(\sim q)$$
2
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Equationof the chord of the circle $$x^2+y^2-4 x-10 y+25=0$$ having mid-point $$(1,2)$$ is

A
$$-x+3 y=5$$
B
$$x+3 y=7$$
C
$$5 x+y=7$$
D
$$3 x+y=5$$
3
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \cos ^3 x \cdot e^{\log (\sin x)} d x=$$

A
$$\frac{-e^{\sin x}}{4}+c$$
B
$$\frac{-\cos ^4 x}{4}+c$$
C
$$\frac{-\sin ^4 x}{4}+c$$
D
$$\frac{e^{\sin x}}{4}+c$$
4
MHT CET 2021 24th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The probability distribution of a discrete random variable X is

$$\mathrm{X}$$ 1 2 3 4 5 6
$$\mathrm{P(X)}$$ K 2K 3K 4K 5K 6K

Find the value of $$\mathrm{P}(2<\mathrm{X}<6)$$

A
$$\frac{4}{21}$$
B
$$\frac{1}{21}$$
C
$$\frac{10}{21}$$
D
$$\frac{4}{7}$$
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