1
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
$5 \sqrt{3}$
2
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
$3 x+y=0$
3
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.
4
MHT CET 2024 4th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The equation of the circle which passes through the centre of the circle $x^2+y^2+8 x+10 y-7=0$ and concentric which the circle $2 x^2+2 y^2-8 x-12 y-9=0$ is

A
$x^2+y^2-4 x-6 y+77=0$
B
$x^2+y^2-4 x-6 y-89=0$
C
$x^2+y^2-4 x-6 y+97=0$
D
$x^2+y^2-4 x-6 y-87=0$
MHT CET Papers
EXAM MAP