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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.

156Papers
24Years
167Questions
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.

Medium 132 79%
Hard 24 14.4%
Easy 11 6.6%

Question type distribution

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

Multiple Choices 121 72.5%
Numerical Answer Type (NAT) 46 27.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
167 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
167 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Area Under The Curves
167 Qs

Paper coverage

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

JEE Main 2026 (Online) 6th April Morning Shift
2 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
1 Qs
JEE Main 2026 (Online) 4th April Evening Shift
1 Qs
JEE Main 2026 (Online) 4th April Morning Shift
1 Qs
JEE Main 2026 (Online) 5th April Evening Shift
1 Qs
JEE Main 2026 (Online) 5th April Morning Shift
1 Qs
JEE Main 2026 (Online) 6th April Evening Shift
1 Qs
JEE Main 2026 (Online) 8th April Evening Shift
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT
3 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT
1 Qs
JEE Main 2021 (Online) 24th February Evening Shift
1 Qs
JEE Main 2021 (Online) 25th February Morning Shift
1 Qs
JEE Main 2021 (Online) 26th February Evening Shift
1 Qs
JEE Main 2021 (Online) 26th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2018 OFFLINE
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2017 OFFLINE
1 Qs
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
1 Qs
JEE MAIN 2014 OFFLINE
1 Qs
JEE MAIN 2013 OFFLINE
1 Qs
AIEEE 2012
1 Qs
AIEEE 2011
1 Qs
AIEEE 2010
1 Qs
AIEEE 2009
1 Qs
AIEEE 2008
1 Qs
AIEEE 2007
1 Qs
AIEEE 2005
3 Qs
AIEEE 2004
1 Qs
AIEEE 2003
1 Qs
AIEEE 2002
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Main 2026 (Online) 2nd April Evening Shift20261View paper
JEE Main 2026 (Online) 4th April Evening Shift20261View paper
JEE Main 2026 (Online) 4th April Morning Shift20261View paper
JEE Main 2026 (Online) 5th April Evening Shift20261View paper
JEE Main 2026 (Online) 5th April Morning Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20262View paper
JEE Main 2026 (Online) 8th April Evening Shift20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT20221View paper
JEE Main 2021 (Online) 24th February Evening Shift20211View paper
JEE Main 2021 (Online) 25th February Morning Shift20211View paper
JEE Main 2021 (Online) 26th February Evening Shift20211View paper
JEE Main 2021 (Online) 26th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2018 OFFLINE20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT20181View paper
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT20181View paper
JEE MAIN 2017 OFFLINE20171View paper
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT20171View paper
JEE MAIN 2016 OFFLINE20161View paper
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT20161View paper
JEE MAIN 2015 OFFLINE20151View paper
JEE MAIN 2014 OFFLINE20141View paper
JEE MAIN 2013 OFFLINE20131View paper
AIEEE 201220121View paper
AIEEE 201120111View paper
AIEEE 201020101View paper
AIEEE 200920091View paper
AIEEE 200820081View paper
AIEEE 200720071View paper
AIEEE 200520053View paper
AIEEE 200420041View paper
AIEEE 200320031View paper
AIEEE 200220021View paper

All Area Under The Curves previous year questions

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

1
2002 · Mathematics · Calculus · Area Under The Curves
AIEEE 2002
The area bounded by the curves \(y = \ln x,y = \ln \left| x \right|,y = \left| {\ln {\mkern 1mu} x} \right|\) and \(y = \left| {\ln \left| x \right|} \right|\) is :
A
\(4\)sq. units
B
\(6\)sq. units
C
\(10\)sq. units
D
none of these
Open complete paper
2
2003 · Mathematics · Calculus · Area Under The Curves
AIEEE 2003
The area of the region bounded by the curves \(y = \left| {x - 1} \right|\) and \(y = 3 - \left| x \right|\) is :
A
\(6\) sq. units
B
\(2\) sq. units
C
\(3\) sq. units
D
\(4\) sq. units
Open complete paper
3
2004 · Mathematics · Calculus · Area Under The Curves
AIEEE 2004
The area of the region bounded by the curves
\(y = \left| {x - 2} \right|,x = 1,x = 3\) and the \(x\)-axis is :
A
\(4\)
B
\(2\)
C
\(3\)
D
\(1\)
Open complete paper
4
2005 · Mathematics · Calculus · Area Under The Curves
AIEEE 2005
The parabolas \({y^2} = 4x\) and \({x^2} = 4y\) divide the square region bounded by the lines \(x=4,\) \(y=4\) and the coordinate axes. If \({S_1},{S_2},{S_3}\) are respectively the areas of these parts numbered from top to bottom ; then \({S_1},{S_2},{S_3}\) is :
A
\(1:2:1\)
B
\(1:2:3\)
C
\(2:1:2\)
D
\(1:1:1\)
Open complete paper
5
2005 · Mathematics · Calculus · Area Under The Curves
AIEEE 2005
Let \(f(x)\) be a non - negative continuous function such that the area bounded by the curve \(y=f(x),\) \(x\)-axis and the ordinates \(x = {\pi \over 4}\) and \(x = \beta > {\pi \over 4}\) is \(\left( {\beta \sin \beta + {\pi \over 4}\cos \beta + \sqrt 2 \beta } \right).\) Then \(f\left( {{\pi \over 2}} \right)\) is
A
\(\left( {{\pi \over 4} + \sqrt 2 - 1} \right)\)
B
\(\left( {{\pi \over 4} - \sqrt 2 + 1} \right)\)
C
\(\left( {1 - {\pi \over 4} - \sqrt 2 } \right)\)
D
\(\left( {1 - {\pi \over 4} + \sqrt 2 } \right)\)
Open complete paper
6
2005 · Mathematics · Calculus · Area Under The Curves
AIEEE 2005
The area enclosed between the curve \(y = {\log _e}\left( {x + e} \right)\) and the coordinate axes is :
A
\(1\)
B
\(2\)
C
\(3\)
D
\(4\)
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7
2007 · Mathematics · Calculus · Area Under The Curves
AIEEE 2007
The area enclosed between the curves \({y^2} = x\) and \(y = \left| x \right|\) is :
A
\(1/6\)
B
\(1/3\)
C
\(2/3\)
D
\(1\)
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8
2008 · Mathematics · Calculus · Area Under The Curves
AIEEE 2008
The area of the plane region bounded by the curves \(x + 2{y^2} = 0\) and \(\,x + 3{y^2} = 1\) is equal to :
A
\({5 \over 3}\)
B
\({1 \over 3}\)
C
\({2 \over 3}\)
D
\({4 \over 3}\)
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9
2009 · Mathematics · Calculus · Area Under The Curves
AIEEE 2009
The area of the region bounded by the parabola \({\left( {y - 2} \right)^2} = x - 1,\) the tangent of the parabola at the point \((2, 3)\) and the \(x\)-axis is :
A
\(6\)
B
\(9\)
C
\(12\)
D
\(3\)
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10
2010 · Mathematics · Calculus · Area Under The Curves
AIEEE 2010
The area bounded by the curves \(y = \cos x\) and \(y = \sin x\) between the ordinates \(x=0\) and \(x = {{3\pi } \over 2}\) is
A
\(4\sqrt 2 + 2\)
B
\(4\sqrt 2 - 1\)
C
\(4\sqrt 2 + 1\)
D
\(4\sqrt 2 - 2\)
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11
2011 · Mathematics · Calculus · Area Under The Curves
AIEEE 2011
The area of the region enclosed by the curves \(y = x,x = e,y = {1 \over x}\) and the positive \(x\)-axis is :
A
\(1\) square unit
B
\({3 \over 2}\) square units
C
\({5 \over 2}\) square units
D
\({1 \over 2}\) square unit
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12
2012 · Mathematics · Calculus · Area Under The Curves
AIEEE 2012
The area between the parabolas \({x^2} = {y \over 4}\) and \({x^2} = 9y\) and the straight line \(y=2\) is :
A
\(20\sqrt 2\)
B
\({{10\sqrt 2 } \over 3}\)
C
\({{20\sqrt 2 } \over 3}\)
D
\(10\sqrt 2\)
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13
2013 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2013 OFFLINE
The area (in square units) bounded by the curves \(y = \sqrt {x,}\) \(2y - x + 3 = 0,\) \(x\)-axis, and lying in the first quadrant is :
A
\(9\)
B
\(36\)
C
\(18\)
D
\({{27} \over 4}\)
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14
2014 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2014 OFFLINE
The area of the region described by
\(A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.\) and \(\left. {{y^2} \le 1 - x} \right\}\) is :
A
\({\pi \over 2} - {2 \over 3}\)
B
\({\pi \over 2} + {2 \over 3}\)
C
\({\pi \over 2} + {4 \over 3}\)
D
\({\pi \over 2} - {4 \over 3}\)
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15
2015 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2015 OFFLINE
The area (in sq. units) of the region described by

\(\left\{ {\left( {x,y} \right):{y^2} \le 2x} \right.\) and \(\left. {y \ge 4x - 1} \right\}\) is :
A
\({{15} \over {64}}\)
B
\({{9} \over {32}}\)
C
\({{7} \over {32}}\)
D
\({{5} \over {64}}\)
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16
2016 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2016 OFFLINE
The area (in sq. units) of the region \(\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,\,\,and\,\,\,{x^2} + {y^2} \le 4x,x \ge 0,y \ge 0} \right\}\) is :
A
\(\pi - {{4\sqrt 2 } \over 3}\)
B
\({\pi \over 2} - {{2\sqrt 2 } \over 3}\)
C
\(\pi - {4 \over 3}\)
D
\(\pi - {8 \over 3}\)
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17
2016 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
The area (in sq. units) of the region described by

A= {(x, y) \(\left| {} \right.\)y\(\ge\) x2 \(-\) 5x + 4, x + y \(\ge\) 1, y \(\le\) 0} is :
A
\({7 \over 2}\)
B
\({{19} \over 6}\)
C
\({{13} \over 6}\)
D
\({{17} \over 6}\)
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18
2017 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2017 OFFLINE
The area (in sq. units) of the region

\(\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \sqrt x } \right\}\) is
A
\({3 \over 2}\)
B
\({7 \over 3}\)
C
\({5 \over 2}\)
D
\({59 \over 12}\)
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19
2017 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
The area (in sq. units) of the smaller portion enclosed between the curves, x2 + y2 = 4 and y2 = 3x, is :
A
\({1 \over {2\sqrt 3 }} + {\pi \over 3}\)
B
\({1 \over {\sqrt 3 }} + {{2\pi } \over 3}\)
C
\({1 \over {2\sqrt 3 }} + {{2\pi } \over 3}\)
D
\({1 \over {\sqrt 3 }} + {{4\pi } \over 3}\)
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20
2018 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2018 OFFLINE
Let g(x) = cosx2, f(x) = \(\sqrt x\) and \(\alpha ,\beta \left( {\alpha < \beta } \right)\) be the roots of the quadratic equation 18x2 - 9\(\pi\)x + \({\pi ^2}\) = 0. Then the area (in sq. units) bounded by the curve
y = (gof)(x) and the lines \(x = \alpha\), \(x = \beta\) and y = 0 is :
A
\({1 \over 2}\left( {\sqrt 2 - 1} \right)\)
B
\({1 \over 2}\left( {\sqrt 3 - 1} \right)\)
C
\({1 \over 2}\left( {\sqrt 3 + 1} \right)\)
D
\({1 \over 2}\left( {\sqrt 3 - \sqrt 2 } \right)\)
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