1
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Function $$f(x)=e^{-1 / x}$$ is strictly increasing for all $$x$$ where

A
$$x$$ is only positive real number
B
$$x$$ is only negative real number
C
$$x$$ is a real number
D
$$x$$ is a non-zero real number
2
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$x=-2$$ and $$x=4$$ are the extreme points of $$y=x^3-\alpha x^2-\beta x+5$$, then

A
$$\alpha=3, \beta=24$$
B
$$\alpha=-24, \beta=-3$$
C
$$\alpha=-3, \beta=-24$$
D
$$\alpha=24, \beta=3$$
3
MHT CET 2021 23th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

10 is divided into two parts such that the sum of double of the first and square of the other is minimum, then the numbers are respectively

A
9, 1
B
8, 2
C
6, 4
D
7, 3
4
MHT CET 2021 22th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

The function $$f(x)=\frac{\lambda \sin x+6 \cos x}{2 \sin x+3 \cos x}$$ is increasing, if

A
$$\lambda>2$$
B
$$\lambda<4$$
C
$$\lambda \geq 4$$
D
$$\lambda>1$$
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