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

If the equation $$3x^2-kxy-3y^2=0$$ represents the bisectors of angles between the lines $$x^2-3xy-4y^2=0$$, then value of k is

A
$$-6$$
B
$$-10$$
C
6
D
10
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The general solution of $$\left(x \frac{d y}{d x}-y\right) \sin \frac{y}{x}=x^3 e^x$$ is

A
$$e^x(x-1)+\cos \frac{y}{x}+c=0$$
B
$$x e^x+\cos \frac{y}{x}+c=0$$
C
$$e^x(x+1)+\cos \frac{y}{x}+c=0$$
D
$$e x^x-\cos \frac{y}{x}+c=0$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the parabola $$y=x^2$$ and the line $$y=x$$ is

A
$$\frac{1}{2}$$ sq. units
B
$$\frac{1}{3}$$ sq. units
C
$$\frac{2}{3}$$ sq. units
D
$$\frac{1}{6}$$ sq. units
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12