1
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The value of c for which Rolle's theorem for the function $\mathrm{f}(x)=x^3-3 x^2+2 x$ in the interval $[0,2]$ are

A
$\pm 1$
B
$\pm 2$
C
$1 \pm \frac{1}{\sqrt{3}}$
D
$\sqrt{3}(1 \pm \sqrt{3})$
2
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A triangular park is enclosed on two sides by a fence and on the third side a straight river bank. The two sides having fence are of same length $x$. The maximum area (in sq. units) enclosed by the park is

A
$\frac{3}{2} x^2$
B
$\sqrt{\frac{x^3}{8}}$
C
$\frac{1}{2} x^2$
D
$\pi x^2$
3
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A stone is dropped into a quiet lake and waves move in circles at speed of $8 \mathrm{~cm} / \mathrm{sec}$. At the instant when the radius of the circular wave is 12 cm . how fast is the enclosed area increasing?

A
$180 \pi \mathrm{~cm}^2 / \mathrm{sec}$
B
  $196 \pi \mathrm{~cm}^2 / \mathrm{sec}$
C
$192 \pi \mathrm{~cm}^2 / \mathrm{sec}$
D
$200 \pi \mathrm{~cm}^2 / \mathrm{sec}$
4
MHT CET 2024 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A bullet is shot horizontally and its distance S cm at time t second is given by $\mathrm{S}=1200 \mathrm{t}-15 \mathrm{t}^2$, then the distance covered by the bullet when it comes to the rest, is

A
12000 cm
B
24000 cm
C
1200 cm
D
2400 cm
MHT CET Subjects
EXAM MAP