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Previous year question hub

Area Under The Curves - Calculus PYQ (Mathematics)

Practice Area Under The Curves previous year questions for Calculus (AP EAPCET). 14 MCQs from 2 years. Year-wise PYQ practice.

14Papers
2Years
14Questions
1Topics

Area Under The Curves question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Area Under The Curves. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 14 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 14 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
14 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
14 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Area Under The Curves
14 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

AP EAPCET 2025 21ST MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 22ND MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 23RD MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 23RD MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 24TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2025 26TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2025 27TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 18TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 19TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2024 20TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 21TH MAY EVENING SHIFT
1 Qs
AP EAPCET 2024 21TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 22TH MAY MORNING SHIFT
1 Qs
AP EAPCET 2024 23TH MAY MORNING SHIFT
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
AP EAPCET 2025 21ST MAY EVENING SHIFT20251View paper
AP EAPCET 2025 22ND MAY MORNING SHIFT20251View paper
AP EAPCET 2025 23RD MAY EVENING SHIFT20251View paper
AP EAPCET 2025 23RD MAY MORNING SHIFT20251View paper
AP EAPCET 2025 24TH MAY MORNING SHIFT20251View paper
AP EAPCET 2025 26TH MAY EVENING SHIFT20251View paper
AP EAPCET 2025 27TH MAY MORNING SHIFT20251View paper
AP EAPCET 2024 18TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 19TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 20TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 21TH MAY EVENING SHIFT20241View paper
AP EAPCET 2024 21TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 22TH MAY MORNING SHIFT20241View paper
AP EAPCET 2024 23TH MAY MORNING SHIFT20241View paper

All Area Under The Curves previous year questions

Practice every matching question in batches of 20, with every available option.

1
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 18TH MAY MORNING SHIFT
The area of the region ( in sq units) enclosed by the curve $y=x^3-19 x+30$ and the $X$-axis, is
A
$\frac{167}{2}$
B
$\frac{517}{2}$
C
36
D
72
Open complete paper
2
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 19TH MAY EVENING SHIFT
The area (in sq units) of the smaller region lying above the $X$-axis and bounded between the circle $x^2+y^2=2 a x$ and the parabola $y^2=a x$ is
A
$2 a^2\left(\frac{\pi}{4}-\frac{2}{3}\right)$
B
$a^2\left(\frac{\pi}{4}-\frac{2}{3}\right)$
C
$a^2\left(\frac{\pi}{4}+\frac{2}{3}\right)$
D
$a^2\left(\frac{\pi^2}{4}-\frac{1}{3}\right)$
Open complete paper
3
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 20TH MAY MORNING SHIFT
Area of the region (in sq units) enclosed by the curves $y^2=8(x+2), y^2=4(1-x)$ and the $Y$-axis is
A
$\frac{8}{3}(5-3 \sqrt{2})$
B
$\frac{8}{3}(\sqrt{2}-1)$
C
$\frac{8}{3}(3-\sqrt{2})$
D
$\frac{4}{3}(\sqrt{2}+1)$
Open complete paper
4
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 21TH MAY EVENING SHIFT
Area of the region enclosed by the curves $3 x^2-y^2-2 x y+4 x+1=0$ and $3 x^2-y^2-2 x y+6 x+2 y=0$ is
A
$\frac{3}{4}$
B
$\frac{1}{4}$
C
1
D
$\frac{1}{2}$
Open complete paper
5
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 21TH MAY MORNING SHIFT
The area of the region under the curve $y=|\sin -\cos x|$, $0 \leq x \leq \frac{n}{2}$ and above $X$-axis, is (in sq units)
A
$2 \sqrt{2}$
B
$2 \sqrt{2}-1$
C
$2(\sqrt{2}-1)$
D
$2(\sqrt{2}+1)$
Open complete paper
6
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 22TH MAY MORNING SHIFT
The area (in sq units) bounded by the curves $x=y^2$ and $x=3-2 y^2$ is
A
8
B
$8 / 3$
C
4
D
6
Open complete paper
7
2024 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2024 23TH MAY MORNING SHIFT

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
$\frac{1}{\log 2}+\frac{3}{4}$
Open complete paper
8
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 21ST MAY EVENING SHIFT

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

$5 / 2$

Open complete paper
9
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 22ND MAY MORNING SHIFT

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

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

Open complete paper
10
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 23RD MAY EVENING SHIFT

Area of the region (in sq. units) bounded by the curve $y=x^2-5 x+4, x=0, x=2$ and the $X$-axis is

A

$\frac{8}{3}$

B

3

C

5

D

$\frac{5}{2}$

Open complete paper
11
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 23RD MAY MORNING SHIFT
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

$3 \sqrt{2}+1$

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12
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 24TH MAY MORNING SHIFT

The area (in sq. units) of the region bounded by the curves $y=x^2$ and $y=8-x^2$ is

A

$\frac{32}{3}$

B

$\frac{16}{3}$

C

$\frac{64}{3}$

D

$\frac{128}{3}$

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13
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 26TH MAY EVENING SHIFT

The area of the region (in sq units) bounded by the curves $x^2+y^2=16$ and $y^2=6 x$ is

A

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

B

$\frac{2}{3}(4 \pi+\sqrt{3})$

C

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

D

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

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14
2025 · Mathematics · Calculus · Area Under The Curves
AP EAPCET 2025 27TH MAY MORNING SHIFT

The area (in sq units) of the region given by $R=\left\{(x, y) ; \frac{y^2}{2} \leq x \leq y+4\right\}$ is

A

16

B

18

C

24

D

30

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