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

If $A=\left\{x \in R / x^2+5|x|+6=0\right\}$ then $n(A)=\ldots \ldots$

A
0
B
4
C
1
D
2
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{d x}{(\sin x+\cos x)(2 \cos x+\sin x)}=$$

A
$\log |\sin x+\cos x|+c$
B
$\log \left|\frac{\tan x+2}{\tan x+1}\right|+c$
C
$\log \left|\frac{\sin x+\cos x}{2 \cos x-\sin x}\right|+c$
D
$\log \left|\frac{\tan x+1}{\tan x+2}\right|+c$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The solution of differential equation $\left(x^2+1\right) \frac{d y}{d x}+\left(y^2+1\right)=0$ is $\ldots$

A
$x+y=c$
B
$\left(x^2+1\right)\left(y^2+1\right)=c$
C
$x^2=y^2+c$
D
$\tan ^{-1} x+\tan ^{-1} y=c$
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