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 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Derivative of $\sin ^{-1}\left(\frac{t}{\sqrt{1+t^2}}\right)$ with respect to $\cos ^{-1}\left(\frac{1}{\sqrt{1+t^2}}\right)$ is

A
1
B
cot t
C
tan t
D
0
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

A player tosses 2 fair coins. He wins Rs. 5 if 2 heads appear, Rs. 2 If 1 head appear and Rs. 1 if no head appears, then variance of his winning amount is

A
6
B
$\frac{5}{2}$
C
$\frac{9}{4}$
D
$\frac{17}{2}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

In $\triangle A B C$, with the usual notations, if $\sin B \sin C=\frac{b c}{a^2}$, then the triangle is. ...........

A
Right angled triangle
B
Obtuse angled triangle
C
Equilateral triangle
D
Acute angled triangle
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