1
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
$\dfrac{5\pi}{4}$
2
MHT CET 2025 5th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area of the region bounded by the parabola $y^2=27 x$ and the line $x=1$ is ________ sq.units.

A

$2 \sqrt{3}$

B

$3 \sqrt{3}$

C

$4 \sqrt{3}$

D

$7 \sqrt{3}$

3
MHT CET 2025 26th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the area bounded by the curve $x^2=4 y, \mathrm{X}$-axis and the line $x=4$ is divided into equal areas by the line $x=\alpha$, then the value of $\alpha$ is …

A

$\frac{1}{32}$

B

32

C

$(32)^{\frac{1}{2}}$

D

$(32)^{\frac{1}{3}}$

4
MHT CET 2025 26th April Morning Shift
MCQ (Single Correct Answer)
+2
-0

The area of smaller part between the circle $x^2+y^2=4$ and the line $x=1$ is _________ sq.units.

A

$\frac{4 \pi}{3}-\sqrt{3}$

B

$\frac{8 \pi}{3}-\sqrt{3}$

C

$\frac{4 \pi}{3}+\sqrt{3}$

D

$\frac{5 \pi}{3}+\sqrt{3}$

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