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1
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The solution of the differential equation $\dfrac{dy}{dx} = \cos(x + y)$ is...
A
$\cot\left(\dfrac{x + y}{2}\right) = x + c$
B
$\tan\left(\dfrac{x + y}{2}\right) = x + c$
C
$-\sin(x + y) = x + c$
D
$\sec(x - y) + x = c$
2
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The solution of the differential equation $\dfrac{dy}{dx} = \dfrac{x - y}{x + y}$, when $x = 0$ and $y = 0$ represents ....
A
Circle
B
Ellipse
C
Hyperbola
D
Pair of straight Lines
3
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The solution of the differential equation $\dfrac{dy}{dx} = \dfrac{a + bx}{c + dy}$ represents a family of circles centered at the origin if...
A
$a = c = 0,\ b + d = 0$
B
$a = c = 0,\ b = d$
C
$b = d = 0,\ a + c = 0$
D
$b = d = 0,\ a = c$
4
MHT CET 2026 18th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The rate of disintegration of a radioactive element at any time is proportional to its mass at that time, where $k$ $(k>0)$ is the constant of proportionality. The time during which an original mass of 1.5 gm will disintegrate to a mass of 0.5 gm is $\ldots$
A
$k\log 3$
B
$\dfrac{1}{k}\log 3$
C
$k\log 5$
D
$\dfrac{1}{k}\log 5$
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