1
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $f(x)=x^3-3 x$ is ............

A
increasing in $(-\infty,-1) \cup(1, \infty)$ and decreasing in $(-1,1)$
B
increasing in $(0, \infty)$ and decreasing in $(-\infty, 0)$
C
decreasing in $(0, \infty)$ and increasing in $(-\infty, 0)$
D
decreasing in $(-\infty,-1) \cup(1, \infty)$ and increasing in $(-1,1)$
2
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Using differentiation, approximate value of $f(x)=x^2-2 x+1$ at $x=2.99$ is ............

A
3.96
B
9.96
C
4.98
D
5.98
3
MHT CET 2019 2nd May Evening Shift
MCQ (Single Correct Answer)
+2
-0

A particle moves so that $x=2+27 t-t^3$. The direction of motion reverses after moving a distance of ....... units.

A
80
B
56
C
60
D
65
4
MHT CET 2019 2nd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A stone is dropped into a pond. Waves in the form of circles are generated and radius of outermost ripple increases at the rate of $5 \mathrm{~cm} / \mathrm{sec}$. Then area increased after 2 seconds is ............

A
$100 \pi \mathrm{~cm}^2 / \mathrm{sec}$
B
$40 \mathrm{~cm}^2 / \mathrm{sec}$
C
$50 \mathrm{~cm}^2 / \mathrm{sec}$
D
$25 \mathrm{~cm}^2 / \mathrm{sec}$
MHT CET Subjects
EXAM MAP