1
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
$\tan ^{-1} x+\tan ^{-1} y=c$
2
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

$\sin \left[3 \sin ^{-1}(0.4)\right]=\ldots \ldots$

A
0.466
B
0.256
C
0.944
D
0.764
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If line $\frac{2 x-4}{\lambda}=\frac{y-1}{2}=\frac{z-3}{1}$ and $\frac{x-1}{1}=\frac{3 y-1}{\lambda}=\frac{z-2}{1}$ are perpendicular to each other then $\lambda=$ ............

A
7
B
$-\frac{7}{6}$
C
6
D
$-\frac{6}{7}$
4
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

For a sequence $\left(t_n\right)$, if $S_n=5\left(2^n-1\right)$ then $t_n=$ .........

A
$5\left(2^{n+1}\right)$
B
$\frac{5 \times 2^n}{4}$
C
$5\left(2^{n-1}\right)$
D
$\frac{2 \times\left(2^{n-1}\right)}{5}$
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