1
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The area of the shaded region is ... sq.units.
A
$2 - \sqrt{2}$
B
$2 + \sqrt{2}$
C
$\sqrt{2}$
D
$2$
2
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
$\int_0^3 \sqrt{9 - x^2} dx = $
A
$\dfrac{3\pi}{4}$
B
$\dfrac{9\pi}{4}$
C
$\dfrac{7\pi}{4}$
D
$\dfrac{5\pi}{4}$
3
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The particular solution of the differential equation $xdy + 2ydx = 0$, when $x = 2$ and $y = 1$ is
A
$x\sqrt{y} = 2$
B
$x\sqrt{y} = -2$
C
$\sqrt{x} y = 2$
D
$x\sqrt{y} = 1$
4
MHT CET 2026 11th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The differential equation representing the family of curves $x \sin x + y^3 = 4ax$ is
A
$\dfrac{dy}{dx} = \dfrac{y^3 + x^2 \cos x}{3xy^2}$
B
$\dfrac{dy}{dx} = \dfrac{y^3 - x^2 \cos x}{3xy^2}$
C
$\dfrac{dy}{dx} = \dfrac{y^3 - x^2 \cos x}{3xy}$
D
$\dfrac{dy}{dx} = \dfrac{y^3 - x^2 \cos x}{3x^2 y}$

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