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

$$\int \operatorname{cosec}(x-a) \operatorname{cosec} x d x=$$

A
$$\operatorname{cosec} a \cdot \log [\sin (x-a) \operatorname{cosec} x]+c$$
B
$$\operatorname{cosec} a \log [\sin (x-a) \sin x]+c$$
C
$$\sin a \cdot \log [\sin (x-a) \sin x]+c$$
D
$$\operatorname{cosec} a \cdot \log [\operatorname{cosec}(x-a) \sin x]+c$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$f(x)=2x^3-15x^2-144x-7$$, then $$f(x)$$ is strictly decreasing in

A
$$(-8,3)$$
B
$$(-3,8)$$
C
$$(3,8)$$
D
$$(-8,-3)$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the plane that contains the line of intersection of the planes. $$x+2 y+3 z-4=0$$ and $$2 x+y-z+5=0$$ and is perpendicular to the plane $$5 x+3 y-6 z+8=0$$ is

A
$$14 x+7 y-7 z-4=0$$
B
$$33 x+45 y+50 z-41=0$$
C
$$-33 x+45 y-50 z+41=0$$
D
$$5 x+31 y+50 z-41=0$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the sum of mean and variance of a binomial distribution for 5 trials is 1.8, then probability of a success is

A
0.2
B
0.6
C
0.4
D
0.8
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