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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.

59Papers
7Years
59Questions
1Topics

Area Under The Curves question pattern

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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 59 100%

Question type distribution

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

Multiple Choices 59 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
59 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
59 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Area Under The Curves
59 Qs

Paper coverage

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

MHT CET 2025 19TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 19TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 20TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 21ST APRIL EVENING SHIFT
1 Qs
MHT CET 2025 21ST APRIL MORNING SHIFT
1 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
1 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
1 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
1 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
1 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
1 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
1 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
1 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
1 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 23th September Morning Shift
1 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2020 16TH OCTOBER EVENING SHIFT
1 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
1 Qs
MHT CET 2020 19TH OCTOBER EVENING SHIFT
1 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
1 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
1 Qs
MHT CET 2019 3RD 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
MHT CET 2025 19TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20251View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20251View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20251View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20251View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20251View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20251View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 26TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 5TH MAY EVENING SHIFT20251View paper
MHT CET 2024 10TH MAY EVENING SHIFT20241View paper
MHT CET 2024 10TH MAY MORNING SHIFT20241View paper
MHT CET 2024 11TH MAY EVENING SHIFT20241View paper
MHT CET 2024 11TH MAY MORNING SHIFT20241View paper
MHT CET 2024 15TH MAY EVENING SHIFT20241View paper
MHT CET 2024 15TH MAY MORNING SHIFT20241View paper
MHT CET 2024 16TH MAY EVENING SHIFT20241View paper
MHT CET 2024 16TH MAY MORNING SHIFT20241View paper
MHT CET 2024 2ND MAY EVENING SHIFT20241View paper
MHT CET 2024 2ND MAY MORNING SHIFT20241View paper
MHT CET 2024 3RD MAY EVENING SHIFT20241View paper
MHT CET 2024 3RD MAY MORNING SHIFT20241View paper
MHT CET 2024 4TH MAY EVENING SHIFT20241View paper
MHT CET 2024 4TH MAY MORNING SHIFT20241View paper
MHT CET 2024 9TH MAY EVENING SHIFT20241View paper
MHT CET 2024 9TH MAY MORNING SHIFT20241View paper
MHT CET 2023 10TH MAY EVENING SHIFT20231View paper
MHT CET 2023 10TH MAY MORNING SHIFT20231View paper
MHT CET 2023 11TH MAY EVENING SHIFT20231View paper
MHT CET 2023 11TH MAY MORNING SHIFT20231View paper
MHT CET 2023 12TH MAY EVENING SHIFT20231View paper
MHT CET 2023 12TH MAY MORNING SHIFT20231View paper
MHT CET 2023 13TH MAY EVENING SHIFT20231View paper
MHT CET 2023 13TH MAY MORNING SHIFT20231View paper
MHT CET 2023 14TH MAY EVENING SHIFT20231View paper
MHT CET 2023 14TH MAY MORNING SHIFT20231View paper
MHT CET 2023 9TH MAY EVENING SHIFT20231View paper
MHT CET 2023 9TH MAY MORNING SHIFT20231View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20221View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 23th September Morning Shift20211View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20201View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20201View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20201View paper
MHT CET 2019 2ND MAY EVENING SHIFT20191View paper
MHT CET 2019 2ND MAY MORNING SHIFT20191View paper
MHT CET 2019 3RD MAY MORNING SHIFT20191View paper

All Area Under The Curves previous year questions

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

1
2019 · Mathematics · Calculus · Area Under The Curves
MHT CET 2019 2ND MAY EVENING SHIFT

The area of the region enclosed between pair of the lines $x y=0$ and the lines $x y+5 x-4 y-20=0$, is .............

A
20 square units
B
$\frac{4}{5}$ square units
C
10 square units
D
6 square units
Open complete paper
2
2019 · Mathematics · Calculus · Area Under The Curves
MHT CET 2019 2ND MAY MORNING SHIFT

The area of the region bounded by the curve $y=2 x-x^2$ and the line $y=x$ is ........... units. square

A
$\frac{1}{6}$
B
$\frac{1}{2}$
C
$\frac{1}{3}$
D
$\frac{7}{6}$
Open complete paper
3
2019 · Mathematics · Calculus · Area Under The Curves
MHT CET 2019 3RD MAY MORNING SHIFT

. Area of the region bounded by $y=\cos x, x=0$, $x=\pi$ and $X$-axis is ... sq. units.

A
3
B
1
C
2
D
4
Open complete paper
4
2020 · Mathematics · Calculus · Area Under The Curves
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The area included between the parabolas \(y^2=5 x\) and \(x^2=5 y\) is

A
\(\frac{25}{3}\) sq units
B
25 sq units
C
\(\frac{25}{4}\) sq units
D
\(\frac{25}{7}\) sq units
Open complete paper
5
2020 · Mathematics · Calculus · Area Under The Curves
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The area of the region bounded by the curve \(y=4 x^3-6 x^2+4 x+1\) and the lines \(x=1, x=5\) and \(X\)-axis is

A
334 sq units
B
400 sq units
C
428 \(\mathrm{sq}\) units
D
378 \(\mathrm{sq}\) units
Open complete paper
6
2020 · Mathematics · Calculus · Area Under The Curves
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The area of the region bounded by the curve $y=\sin x$ between $x=-\pi$ and $x=\frac{3 \pi}{2}$ is

A
1 (unit) ${ }^2$
B
3 (unit) ${ }^2$
C
5 (unit) ${ }^2$
D
$2(\text { unit })^2$
Open complete paper
7
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

The area bounded by the parabola \(y=x^2\) and the line \(y=x\) is

A
\(\frac{1}{2}\) sq. units
B
\(\frac{1}{3}\) sq. units
C
\(\frac{2}{3}\) sq. units
D
\(\frac{1}{6}\) sq. units
Open complete paper
8
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

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

A
\(\frac{1}{2}\) sq. units
B
\(\frac{1}{6}\) sq. units
C
\(\frac{1}{3}\) sq. units
D
\(\frac{5}{6}\) sq. units
Open complete paper
9
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT

The area bounded by the parabola \(y^2=x\), the straight line \(y=4\) and \(Y\) axis is

A
\(2 \sqrt{7}\) sq. units
B
\(\frac{64}{3}\) sq. units
C
\(\frac{16}{3}\) sq. units
D
\(7 \sqrt{2}\) sq. units
Open complete paper
10
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT

The area of the region bounded by the curve y\(^2\) = 4x and the line y = x is

A
\(\frac{8}{3}\) sq. units
B
\(\frac{5}{8}\) sq. units
C
\(\frac{3}{8}\) sq. units
D
\(\frac{3}{5}\) sq. units
Open complete paper
11
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT

The area bounded by the parabola \(y^2=x\) and the line \(x+y=2\) in the first quadrant is

A
\(\frac{7}{6}\) sq. units
B
\(\frac{1}{6}\) sq. units
C
\(\frac{2}{3}\) sq. units
D
\(\frac{6}{7}\) sq. units
Open complete paper
12
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT

The area bounded between the curve \(x^2=y\) and the line \(y=4 x\) is

A
\(\frac{32}{3}\) sq. units
B
\(\frac{8}{3}\) sq. units
C
\(\frac{1}{3}\) sq. units
D
\(\frac{16}{3}\) sq. units
Open complete paper
13
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT

The area of the region included between the parabolas \(y^2=8 x\) and \(x^2=8 y\), is

A
\(\frac{128}{3}\) sq. units
B
\(\frac{64}{3}\) sq. units
C
\(\frac{32 \sqrt{8}}{3}\) sq. units
D
\(\frac{16 \sqrt{8}}{3}\) sq. units
Open complete paper
14
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT

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

A
\(\frac{2}{3}\) sq. units
B
\(\frac{4}{3}\) sq. units
C
\(\frac{5}{3}\) sq. units
D
\(\frac{8}{3}\) sq. units
Open complete paper
15
2021 · Mathematics · Calculus · Area Under The Curves
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT

Area bounded by the lines \(y=x, x=-1, x=2\) and the \(X\)-axis is

A
\(\frac{1}{2}\) sq.units
B
\(\frac{3}{2}\) sq.units
C
\(\frac{5}{2}\) sq.units
D
\(\frac{7}{4}\) sq.units
Open complete paper
16
2022 · Mathematics · Calculus · Area Under The Curves
MHT CET 2022 11TH AUGUST EVENING SHIFT

The area (in sq. units) of the region described by \(A=\left\{(x, y) / x^2+y^2 \leq 1\right.\) and \(\left.y^2 \leq 1-x\right\}\) is

A
\(\left(\frac{\pi}{2}+\frac{2}{3}\right)\)
B
\(\left(\frac{\pi}{2}+\frac{4}{3}\right)\)
C
\(\left(\frac{\pi}{2}-\frac{4}{3}\right)\)
D
\(\left(\frac{\pi}{2}-\frac{2}{3}\right)\)
Open complete paper
17
2023 · Mathematics · Calculus · Area Under The Curves
MHT CET 2023 10TH MAY EVENING SHIFT

The area bounded by the \(\mathrm{X}\)-axis and the curve \(y=x(x-2)(x+1)\) is

A
\(\frac{37}{12}\) sq. units
B
\(\frac{27}{12}\) sq. units
C
\(\frac{37}{4}\) sq. units
D
\(\frac{27}{13}\) sq. units
Open complete paper
18
2023 · Mathematics · Calculus · Area Under The Curves
MHT CET 2023 10TH MAY MORNING SHIFT

Area of the region bounded by the curve \(y=\sqrt{49-x^2}\) and \(\mathrm{X}\)-axis is

A
\(49 \pi\) sq. units
B
\(\frac{49 \pi}{2}\) sq. units
C
\(\frac{49 \pi}{4}\) sq. units
D
\(98 \pi\) sq. units
Open complete paper
19
2023 · Mathematics · Calculus · Area Under The Curves
MHT CET 2023 11TH MAY EVENING SHIFT

The slope of the tangent to a curve \(y=\mathrm{f}(x)\) at \((x, \mathrm{f}(x))\) is \(2 x+1\). If the curve passes through the point \((1,2)\), then the area (in sq. units), bounded by the curve, the \(\mathrm{X}\)-axis and the line \(x=1\), is

A
\(\frac{3}{2}\)
B
\(\frac{4}{3}\)
C
\(\frac{5}{6}\)
D
\(\frac{1}{12}\)
Open complete paper
20
2023 · Mathematics · Calculus · Area Under The Curves
MHT CET 2023 11TH MAY MORNING SHIFT

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

A
\(\frac{1}{2}\) sq. units
B
\(\frac{1}{3}\) sq. units
C
\(\frac{1}{4}\) sq. units
D
\(\frac{1}{6}\) sq. units
Open complete paper

Showing 20 of 59 questions