1
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
$$(-8,-3)$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of tangent to the circle $$x^2+y^2=64$$ at the point $$\mathrm{P\left(\frac{2\pi}{3}\right)}$$ is

A
$$x-\sqrt3 y-16=0$$
B
$$\sqrt3x+y-16=0$$
C
$$x+\sqrt3y+16=0$$
D
$$x-\sqrt3y+16=0$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

Water is being poured at the rate of 36 m$$^3$$/min. into a cylindrical vessel, whose circular base is of radius 3 m. Then the wate level in the cylinder is rising at the rate of

A
$$\frac{4}{\pi}$$ m/min
B
$$4\pi$$ m/min
C
$$\frac{1}{4\pi}$$ m/min
D
$$\frac{2}{\pi}$$ m/min
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

A wire of length 20 units is divided into two parts such that the product of one part and cube of the other part is maximum, then product of these parts is

A
5
B
75
C
15
D
70
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