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

The slope of normal to the curve $x=\sqrt{t}$ and $y=t-\frac{1}{\sqrt{t}}$ at $t=4$ is ..........

A
$\frac{-17}{4}$
B
$\frac{4}{17}$
C
$\frac{-4}{17}$
D
$\frac{17}{4}$
2
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 $-1$
3
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 $(-1,1)$
4
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
MHT CET Subjects
EXAM MAP