1
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the line $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-3}{1}=\frac{y-\mathrm{k}}{2}=\frac{\mathrm{z}}{1}$ intersect, then the value of k is

A
$\frac{3}{2}$
B
$\frac{9}{2}$
C
$-\frac{2}{9}$
D
$-\frac{3}{2}$
2
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

Inverse of the matrix $\left[\begin{array}{cc}0.8 & -0.6 \\ 0.6 & 0.8\end{array}\right]$ is

A
$\left[\begin{array}{cc}0.8 & 0.6 \\ -0.6 & 0.8\end{array}\right]$
B
$\left[\begin{array}{ll}-0.8 & 0.6 \\ -0.6 & 0.8\end{array}\right]$
C
$\left[\begin{array}{cc}-0.8 & -0.6 \\ 0.6 & 0.8\end{array}\right]$
D
$\left[\begin{array}{cc}8 & -6 \\ 6 & 8\end{array}\right]$
3
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$\int \frac{\mathrm{d} x}{\sqrt{\mathrm{e}^x-1}}=2 \tan ^{-1}(\mathrm{f}(x))+\mathrm{c}$ where $x>0$ and c is a constant of integration, then $\mathrm{f}(x)$ is

A
$\mathrm{e}^x-1$
B
$\sqrt{\mathrm{e}^x-1}$
C
$\mathrm{e}^x+1$
D
$\sqrt{\mathrm{e}^x+1}$
4
MHT CET 2024 10th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $\mathrm{f}(x)=\left(\frac{1+\tan x}{1+\sin x}\right)^{\operatorname{cosec} x}$ is continuous at $x=0$ then $f(0)$ is equal to

A
0
B
1
C
$\mathrm{e}$
D
$\mathrm{\frac{1}{e}}$
MHT CET Papers
EXAM MAP