1
AP EAPCET 2025 - 23rd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The area (in sq. units) of the region bounded by the lines $x=0, x=\frac{\pi}{2}$ and $f(x)=\sin x, g(x)=\cos x$ is
A

$2(\sqrt{2}-1)$

B

$2(\sqrt{2}+1)$

C

$2(\sqrt{3}-1)$

D

$3 \sqrt{2}+1$

2
AP EAPCET 2025 - 22nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The area of the region lying between the curves $y=\sqrt{4-x^2}, y^2=3 x$ and the $Y$-axis is

A

$\frac{\pi}{3}-\frac{1}{2 \sqrt{3}}$

B

$\frac{\pi}{6}+\frac{1}{2 \sqrt{3}}$

C

$\frac{\pi}{3}+\frac{1}{2 \sqrt{3}}$

D

$\frac{\pi}{6}-\frac{1}{2 \sqrt{3}}$

3
AP EAPCET 2025 - 21st May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The area of the region (in sq. units) enclosed between the curves $y=|x|, y=[x]$ and the ordinates $x=-1$, $x=0, x=1$ is

A

2

B

$3 / 2$

C

3

D

$5 / 2$

4
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $(a, \beta)$ is the stationary point of the curve $y=2 x-x^2$, then the area bounded by the curves $y=2^x, y=2 x-x^2, x=0$ and $x=\alpha$ is

A
$\frac{3 \log 2+4}{2}$
B
$\frac{3+\log 4}{6}$
C
$\frac{3-\log 4}{3 \log 2}$
D
$\frac{1}{\log 2}+\frac{3}{4}$

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