1
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The rate of decay of certain substance is directly proportional to the amount present at that instant. Initially, there are $$27 \mathrm{~gm}$$ of certain substance and $$3 \mathrm{~h}$$ later it is found that $$8 \mathrm{~gm}$$ are left, then the amount left after one more hour is

A
$$\frac{20}{3} \mathrm{~gm}$$
B
$$\frac{16}{3} \mathrm{~gm}$$
C
$$\frac{19}{3} \mathrm{~gm}$$
D
$$\frac{17}{3} \mathrm{~gm}$$
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+2
-0

The integrating factor of the differential equation $$\left(1+x^2\right) d t=\left(\tan ^{-1} x-t\right) d x$$ is

A
$$e^{\tan ^{-1} x}$$
B
$$-e^{\frac{\left(\tan ^{-1} x\right)^2}{2}}$$
C
$$-e^{\tan ^{-1} x}$$
D
$$e^{\frac{\left(\tan ^{-1} x\right)^2}{2}}$$
3
MHT CET 2019 3rd May Morning Shift
MCQ (Single Correct Answer)
+2
-0

The order of the differential equation of all circles which lie in the first quadrant and touch both the axes is......

A
two
B
three
C
one
D
four
4
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
$\tan ^{-1} x+\tan ^{-1} y=c$
MHT CET Subjects
EXAM MAP