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Previous year question hub

Area Under The Curves - Calculus - Mathematics Previous Year Questions

Practice Area Under The Curves - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

9Papers
9Years
16Questions
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 16 100%

Question type distribution

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

Multiple Choices 16 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
16 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
16 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Area Under The Curves
16 Qs

Paper coverage

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

KCET 2025
2 Qs
KCET 2024
2 Qs
KCET 2023
2 Qs
KCET 2022
1 Qs
KCET 2021
1 Qs
KCET 2020
2 Qs
KCET 2019
2 Qs
KCET 2018
2 Qs
KCET 2017
2 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
KCET 202520252View paper
KCET 202420242View paper
KCET 202320232View paper
KCET 202220221View paper
KCET 202120211View paper
KCET 202020202View paper
KCET 201920192View paper
KCET 201820182View paper
KCET 201720172View paper

All Area Under The Curves previous year questions

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

1
2017 · Mathematics · Calculus · Area Under The Curves
KCET 2017
The area of the region bounded by the curve $y=x^2$ and the line $y=16$
A
$\frac{64}{3}$ sq units
B
$\frac{32}{3} \mathrm{sq}$ units
C
$\frac{256}{3}$ sq units
D
$\frac{128}{3}$ sq units
Open complete paper
2
2017 · Mathematics · Calculus · Area Under The Curves
KCET 2017
Area of the region bounded by the curve $y=\cos x, x=0$ and $x=\pi$ is
A
4 sq units
B
3 sq units
C
1 sq units
D
2 sq units
Open complete paper
3
2018 · Mathematics · Calculus · Area Under The Curves
KCET 2018
The area bounded by the line $y=x, X$-axis and ordinates $x=-1$ and $x=2$ is
A
$\frac{3}{2}$
B
$\frac{5}{2}$
C
2
D
3
Open complete paper
4
2018 · Mathematics · Calculus · Area Under The Curves
KCET 2018
The area of the region bounded by the curve $y=\cos x$ between $x=0$ and $x=\pi$ is
A
1 sq unit
B
4 sq units
C
2 sq units
D
3 sq units
Open complete paper
5
2019 · Mathematics · Calculus · Area Under The Curves
KCET 2019

The area of the region bounded by \(Y\)-axis, \(y=\cos x\) and \(y=\sin x, 0 \leq x \leq \frac{\pi}{2}\) is

A
\(\sqrt{2}+1\) sq units
B
\(\sqrt{2}-1\) sq units
C
\(2-\sqrt{2}\) sq units
D
\(\sqrt{2}\) sq units
Open complete paper
6
2019 · Mathematics · Calculus · Area Under The Curves
KCET 2019

The area of the region above \(X\)-axis included between the parabola \(y^2=x\) and the circle \(x^2+y^2=2 x\) in square units is

A
\(\frac{2}{3}-\frac{\pi}{4}\)
B
\(\frac{\pi}{4}-\frac{3}{2}\)
C
\(\frac{\pi}{4}-\frac{2}{3}\)
D
\(\frac{3}{2}-\frac{\pi}{4}\)
Open complete paper
7
2020 · Mathematics · Calculus · Area Under The Curves
KCET 2020

The area of the region bounded by the line \(y=2 x+1, X\)-axis and the ordinates \(x=-1\) and \(x=1\) is

A
\(\frac{9}{4}\)
B
2
C
\(\frac{5}{2}\)
D
5
Open complete paper
8
2020 · Mathematics · Calculus · Area Under The Curves
KCET 2020

The area of the region bounded by the curve \(y^2=8 x\) and the line \(y=2 x\) is

A
\(\frac{16}{3}\) sq. units
B
\(\frac{4}{3}\) sq. units
C
\(\frac{3}{4}\) sq. units
D
\(\frac{8}{3}\) sq. units
Open complete paper
9
2021 · Mathematics · Calculus · Area Under The Curves
KCET 2021

The area of the region bounded by \(y=-\sqrt{16-x^2}\) and \(X\)-axis is

A
\(8 \pi\) sq units
B
\(20 \pi\) sq units
C
\(16 \pi\) sq units
D
\(256 \pi\) sq units
Open complete paper
10
2022 · Mathematics · Calculus · Area Under The Curves
KCET 2022

Area of the region bounded by the curve \(y=\tan x\), the \(X\)-axis and line \(x=\frac{\pi}{3}\) is

A
\(\log \frac{1}{2}\)
B
\(\log 2\)
C
0
D
\(-\log 2\)
Open complete paper
11
2023 · Mathematics · Calculus · Area Under The Curves
KCET 2023

In the interval \((0, \pi / 2)\) area lying between the curves \(y=\tan x\) and \(y=\cot x\) and the \(X\)-axis is

A
\(2 \log 2\) sq units
B
\(4 \log 2\) sq units
C
\(\log 2\) sq units
D
\(3 \log 2\) sq units
Open complete paper
12
2023 · Mathematics · Calculus · Area Under The Curves
KCET 2023

The area of the region bounded by the line \(y=x+1\) and the lines \(x=3\) and \(x=5\) is

A
\(\frac{7}{2}\) sq units
B
\(\frac{11}{2}\) sq units
C
7 sq units
D
10 sq units
Open complete paper
13
2024 · Mathematics · Calculus · Area Under The Curves
KCET 2024

The area of the region bounded by the line $y=3 x$ and the curve $y=x^2$ sq units is

A
10
B
9/2
C
9
D
5
Open complete paper
14
2024 · Mathematics · Calculus · Area Under The Curves
KCET 2024

The area of the region bounded by the line $y=x$ and the curve $y=x^3$ is

A
0.2 sq unit
B
0.3 sq unit
C
0.4 sq unit
D
0.5 sq unit
Open complete paper
15
2025 · Mathematics · Calculus · Area Under The Curves
KCET 2025
The area of the region bounded by the curve $y=x^2$ and the line $y=16$ is
A
$\frac{32}{3}$ sq. units
B
$\frac{256}{3}$ sq. units
C
$\frac{64}{3}$ sq. units
D
$\frac{128}{3}$ sq. units
Open complete paper
16
2025 · Mathematics · Calculus · Area Under The Curves
KCET 2025

The area bounded by the curve $y=\sin \left(\frac{x}{3}\right)$, $x$ axis, the lines $x=0$ and $x=3 \pi$ is

A
9 sq. units
B
$\frac{1}{3}$ sq. units
C
6 sq. units
D
3 sq. units
Open complete paper