1
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \tan ^{-1}\left(\frac{1-\sin x}{1+\sin x}\right) d x=$$

A
$\frac{\pi}{4} x-x+c$, where $c$ is a constant of integration.
B
$\frac{\pi}{4}-\frac{x}{2}+\mathrm{c}$, where c is a constant of integration.
C
$\frac{\pi}{4} x-\frac{x^2}{4}+c$, where c is a constant of integration.
D
$\frac{\pi}{4} x+\frac{x^2}{4}+\mathrm{c}$, where c is a constant of integration.
2
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The mean and variance of seven observations are 8 and 16 respectively. If 5 of the observations are $2,4,10,12,14$, then the square root of product of remaining two observations is

A
$4 \sqrt{3}$
B
$3 \sqrt{3}$
C
$2 \sqrt{3}$
D
$5 \sqrt{3}$
3
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the tangent to the curve $y=1-\mathrm{e}^{\frac{x}{3}}$ at the point of intersection with Y -axis is

A
$x-3 y=0$
B
$x+3 y=0$
C
$x+2 y=0$
D
$3 x+y=0$
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

$$\int \frac{\left(x^2+1\right)}{(x+1)^2} \mathrm{~d} x=$$

A
$ x-2 \log |(x+1)|-\frac{1}{x+1}+c$, where $c$ is a constant of integration.
B
$ x-2 \log |(x+1)|-\frac{2}{x+1}+c$, where c is a constant of integration.
C
  $ x-\log |(x+1)|-\frac{2}{x+1}+c$, where $c$ is a constant of integration.
D
$x-\log |(x+1)|-\frac{x}{x+1}+\mathrm{c}$, where c is a constant of integration.
MHT CET Papers
EXAM MAP