1
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

$$\int {{e^x}\left( {{{x - 1} \over {{x^2}}}} \right)dx = } $$

A
$${{ - {e^x}} \over {{x^2}}} + c$$
B
$${{ - {e^x}} \over x} + c$$
C
$${{{e^x}} \over {{x^2}}} + c$$
D
$${{{e^x}} \over x} + c$$
2
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

Area of the triangle formed by the lines $$y^2-9 x y+18 x^2=0$$ and $$y=9$$ is

A
$$\frac{27}{3}$$ sq. units
B
$$\frac{27}{2}$$ sq. units
C
$$\frac{27}{4}$$ sq. units
D
$$27$$ sq. units
3
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

The point on the curve $$y^2=2(x-3)$$ at which the normal is parallel to the line $$y-2 x+1=0$$ is

A
$$\left(\frac{-1}{2},-2\right)$$
B
$$\left(\frac{3}{2}, 2\right)$$
C
$$(5,2)$$
D
$$(5,-2)$$
4
MHT CET 2021 22th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

For two events $$\mathrm{A}$$ and $$\mathrm{B}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{5}{6}, \mathrm{P}(\mathrm{A})=\frac{1}{6}, \mathrm{P}(\mathrm{B})=\frac{2}{3}$$, then $$\mathrm{A}$$ and $$\mathrm{B}$$ are

A
independent
B
mutually exhaustive
C
mutually exclusive
D
complementary
MHT CET Papers
EXAM MAP