1
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $f(x)=x+\frac{1}{x}, x \neq 0$, then local maximum and minimum values of function $f$ are respectively.......

A
$-1$ and 1
B
$-2$ and 2
C
2 and $-2$
D
1 and $-1$
2
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 $(-1,1)$
3
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
4
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
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