1
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

$7 \sqrt{3}$

2
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

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

3
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

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

4
MHT CET 2025 25th April Evening Shift
MCQ (Single Correct Answer)
+2
-0

The area bounded by the curve $y=4 x-x^2$ and X - axis in square units, is $\qquad$

A
$\frac{32}{3}$
B
16
C
32
D
$21 \frac{1}{3}$
MHT CET Subjects
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