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Previous year question hub

Circle - Coordinate Geometry - Mathematics Previous Year Questions

Practice Circle - Coordinate Geometry - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

145Papers
25Years
187Questions
1Topics

Circle question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Circle. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 157 84%
Hard 16 8.6%
Easy 14 7.5%

Question type distribution

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

Multiple Choices 145 77.5%
Numerical Answer Type (NAT) 42 22.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
187 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
187 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
187 Qs

Paper coverage

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

JEE Main 2026 (Online) 6th April Evening Shift
2 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
1 Qs
JEE Main 2026 (Online) 2nd April Morning 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 Morning 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 MORNING 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 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING 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 4TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
1 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 MORNING 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 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 2023 ONLINE 6TH APRIL MORNING 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 12TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING 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 29TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 30TH 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 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT
1 Qs
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 17TH MARCH MORNING SHIFT
3 Qs
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
3 Qs
JEE Main 2021 (Online) 24th February Evening Shift
2 Qs
JEE Main 2021 (Online) 26th February Evening Shift
2 Qs
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
2 Qs
JEE Main 2021 (Online) 24th February Morning Shift
1 Qs
JEE Main 2021 (Online) 26th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT
2 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 7TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
3 Qs
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
2 Qs
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT
2 Qs
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING 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 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 EVENING SLOT
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 ONLINE 8TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2017 OFFLINE
1 Qs
JEE MAIN 2016 OFFLINE
2 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
2 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
2 Qs
AIEEE 2008
2 Qs
AIEEE 2007
1 Qs
AIEEE 2006
2 Qs
AIEEE 2005
4 Qs
AIEEE 2004
4 Qs
AIEEE 2003
2 Qs
AIEEE 2002
4 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) 2nd April Morning 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 Shift20262View paper
JEE Main 2026 (Online) 6th April Morning Shift20261View 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 MORNING 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 MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING 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 4TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20241View 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 MORNING SHIFT20241View 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 SHIFT20242View 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 MORNING SHIFT20242View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 10TH 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 15TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING 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 SHIFT20231View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20231View 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 SHIFT20232View 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 25TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20222View 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 Shift20212View paper
JEE Main 2021 (Online) 24th February Morning Shift20211View paper
JEE Main 2021 (Online) 26th February Evening Shift20212View paper
JEE Main 2021 (Online) 26th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20213View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20213View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT20202View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20193View paper
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20192View 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 SLOT20192View 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 EVENING SLOT20181View 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 SLOT20172View paper
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT20172View paper
JEE MAIN 2016 OFFLINE20162View paper
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT20161View paper
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT20161View paper
JEE MAIN 2015 OFFLINE20152View paper
JEE MAIN 2014 OFFLINE20141View paper
JEE MAIN 2013 OFFLINE20131View paper
AIEEE 201220121View paper
AIEEE 201120111View paper
AIEEE 201020101View paper
AIEEE 200920092View paper
AIEEE 200820082View paper
AIEEE 200720071View paper
AIEEE 200620062View paper
AIEEE 200520054View paper
AIEEE 200420044View paper
AIEEE 200320032View paper
AIEEE 200220024View paper

All Circle previous year questions

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

1
2002 · Mathematics · Coordinate Geometry · Circle
AIEEE 2002
The centre of the circle passing through (0, 0) and (1, 0) and touching the circle \({x^2}\, + \,{y^2} = 9\) is :
A
\(\left( {{1 \over 2},\,{1 \over 2}} \right)\)
B
\(\left( {{1 \over 2},\, - \,\sqrt 2 } \right)\)
C
\(\left( {{3 \over 2},\,{1 \over 2}} \right)\)
D
\(\left( {{1 \over 2},\,{3 \over 2}} \right)\)
Open complete paper
2
2002 · Mathematics · Coordinate Geometry · Circle
AIEEE 2002
The centres of a set of circles, each of radius 3, lie on the circle \({x^2}\, + \,{y^2} = 25\). The locus of any point in the set is :
A
\(4\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,64\)
B
\({x^2}\, + \,{y^2}\, \le \,\,25\)
C
\({x^2}\, + \,{y^2}\, \ge \,\,25\)
D
\(3\, \le \,\,{x^2}\, + \,{y^2}\, \le \,\,9\)
Open complete paper
3
2002 · Mathematics · Coordinate Geometry · Circle
AIEEE 2002
If the chord y = mx + 1 of the circle \({x^2}\, + \,{y^2} = 1\) subtends an angle of measure \({45^ \circ }\) at the major segment of the circle then value of m is :
A
\(2\, \pm \,\sqrt 2 \,\,\)
B
\(- \,2\, \pm \,\sqrt 2 \,\)
C
\(- 1\, \pm \,\sqrt 2 \,\,\)
D
none of these
Open complete paper
4
2002 · Mathematics · Coordinate Geometry · Circle
AIEEE 2002
The equation of a circle with origin as a center and passing through an equilateral triangle whose median is of length \(3\)\(a\) is :
A
\({x^2}\, + \,{y^2} = 9{a^2}\)
B
\({x^2}\, + \,{y^2} = 16{a^2}\)
C
\({x^2}\, + \,{y^2} = 4{a^2}\)
D
\({x^2}\, + \,{y^2} = {a^2}\)
Open complete paper
5
2003 · Mathematics · Coordinate Geometry · Circle
AIEEE 2003
If the two circles \({(x - 1)^2}\, + \,{(y - 3)^2} = \,{r^2}\) and \(\,{x^2}\, + \,{y^2} - \,8x\, + \,2y\, + \,\,8\,\, = 0\) intersect in two distinct point, then :
A
\(r > 2\)
B
\(2 < r < 8\)
C
\(r < 2\)
D
\(r = 2.\)
Open complete paper
6
2003 · Mathematics · Coordinate Geometry · Circle
AIEEE 2003
The lines 2x - 3y = 5 and 3x - 4y = 7 are diameters of a circle having area as 154 sq. units. Then the equation of the circle is :
A
\({x^2}\, + \,{y^2} - \,2x\, + \,2y\,\, = \,62\)
B
\({x^2}\, + \,{y^2} + \,2x\, - \,2y\,\, = \,62\)
C
\({x^2}\, + \,{y^2} + \,2x\, - \,2y\,\, = \,47\)
D
\({x^2}\, + \,{y^2} - \,2x\, + \,2y\,\, = \,47\)
Open complete paper
7
2004 · Mathematics · Coordinate Geometry · Circle
AIEEE 2004
A variable circle passes through the fixed point A (p, q) and touches x-axis. The locus of the other end of the diameter through A is :
A
\({(y\, - \,q)^2} = \,4\,px\)
B
\({(x\, - \,q)^2} = \,4\,py\)
C
\({(y\, - \,p)^2} = \,4\,qx\)
D
\({(x\, - \,p)^2} = \,4\,qy\)
Open complete paper
8
2004 · Mathematics · Coordinate Geometry · Circle
AIEEE 2004
If the lines 2x + 3y + 1 + 0 and 3x - y - 4 = 0 lie along diameter of a circle of circumference \(10\,\pi\), then the equation of the circle is :
A
\({x^2}\, + \,{y^2} + \,2x\, - \,2y - \,23\,\, = 0\)
B
\({x^2}\, + \,{y^2} - \,2x\, - \,2y - \,23\,\, = 0\)
C
\({x^2}\, + \,{y^2} + \,2x\, + \,2y - \,23\,\, = 0\)
D
\({x^2}\, + \,{y^2} - \,2x\, + \,2y - \,23\,\, = 0\)
Open complete paper
9
2004 · Mathematics · Coordinate Geometry · Circle
AIEEE 2004
If a circle passes through the point (a, b) and cuts the circle \({x^2}\, + \,{y^2} = 4\) orthogonally, then the locus of its centre is :
A
\(2ax\, - 2by\, - ({a^2}\, + \,{b^2} + 4) = 0\)
B
\(2ax\, + 2by\, - ({a^2}\, + \,{b^2} + 4) = 0\)
C
\(2ax\, - 2by\, + ({a^2}\, + \,{b^2} + 4) = 0\)
D
\(2ax\, + 2by\, + ({a^2}\, + \,{b^2} + 4) = 0\)
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10
2004 · Mathematics · Coordinate Geometry · Circle
AIEEE 2004
Intercept on the line y = x by the circle \({x^2}\, + \,{y^2} - 2x = 0\) is AB. Equation of the circle on AB as a diameter is :
A
\({x^2}\, + \,{y^2} + \,x\, - \,y\,\, = 0\)
B
\({x^2}\, + \,{y^2} - \,x\, + \,y\,\, = 0\)
C
\({x^2}\, + \,{y^2} + \,x\, + \,y\,\, = 0\)
D
\({x^2}\, + \,{y^2} - \,x\, - \,y\,\, = 0\)
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11
2005 · Mathematics · Coordinate Geometry · Circle
AIEEE 2005
A circle touches the x-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is :
A
an ellipse
B
a circle
C
a hyperbola
D
a parabola
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12
2005 · Mathematics · Coordinate Geometry · Circle
AIEEE 2005
If the pair of lines \(a{x^2} + 2\left( {a + b} \right)xy + b{y^2} = 0\) lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sectors is thrice the area of another sector then :
A
\(3{a^2} - 10ab + 3{b^2} = 0\)
B
\(3{a^2} - 2ab + 3{b^2} = 0\)
C
\(3{a^2} + 10ab + 3{b^2} = 0\)
D
\(3{a^2} + 2ab + 3{b^2} = 0\)
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13
2005 · Mathematics · Coordinate Geometry · Circle
AIEEE 2005
If the circles \({x^2}\, + \,{y^2} + \,2ax\, + \,cy\, + a\,\, = 0\) and \({x^2}\, + \,{y^2} - \,3ax\, + \,dy\, - 1\,\, = 0\) intersect in two ditinct points P and Q then the line 5x + by - a = 0 passes through P and Q for :
A
exactly one value of a
B
no value of a
C
infinitely many values of a
D
exactly two values of a
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14
2005 · Mathematics · Coordinate Geometry · Circle
AIEEE 2005
If a circle passes through the point (a, b) and cuts the circle \({x^2}\, + \,{y^2} = {p^2}\) orthogonally, then the equation of the locus of its centre is :
A
\({x^2}\, + \,{y^2} - \,3ax\, - \,4\,by\,\, + \,({a^2}\, + \,{b^2} - {p^2}) = 0\)
B
\(2ax\, + \,\,2\,by\,\, - \,({a^2}\, - \,{b^2} + {p^2}) = 0\)
C
\({x^2}\, + \,{y^2} - \,2ax\, - \,\,3\,by\,\, + \,({a^2}\, - \,{b^2} - {p^2}) = 0\)
D
\(2ax\, + \,\,2\,by\,\, - \,({a^2}\, + \,{b^2} + {p^2}) = 0\)
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15
2006 · Mathematics · Coordinate Geometry · Circle
AIEEE 2006
If the lines \(3x - 4y - 7 = 0\) and \(2x - 3y - 5 = 0\) are two diameters of a circle of area \(49\pi\) square units, the equation of the circle is :
A
\({x^2} + {y^2} + 2x\, - 2y - 47 = 0\,\)
B
\({x^2} + {y^2} + 2x\, - 2y - 62 = 0\,\)
C
\({x^2} + {y^2} - 2x\, + 2y - 62 = 0\)
D
\({x^2} + {y^2} - 2x\, + 2y - 47 = 0\)
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16
2006 · Mathematics · Coordinate Geometry · Circle
AIEEE 2006
Let \(C\) be the circle with centre \((0, 0)\) and radius \(3\) units. The equation of the locus of the mid points of the chords of the circle \(C\) that subtend an angle of \({{2\pi } \over 3}\) at its center is :
A
\({x^2} + {y^2} = {3 \over 2}\)
B
\({x^2} + {y^2} = 1\)
C
\({x^2} + {y^2} = {{27} \over 4}\)
D
\({x^2} + {y^2} = {{9} \over 4}\)
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17
2007 · Mathematics · Coordinate Geometry · Circle
AIEEE 2007
Consider a family of circles which are passing through the point \((-1, 1)\) and are tangent to \(x\)-axis. If \((h, k)\) are the coordinate of the centre of the circles, then the set of values of \(k\) is given by the interval :
A
\(- {1 \over 2} \le k \le {1 \over 2}\)
B
\(k \le {1 \over 2}\)
C
\(0 \le k \le {1 \over 2}\)
D
\(k \ge {1 \over 2}\)
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18
2008 · Mathematics · Coordinate Geometry · Circle
AIEEE 2008
The differential equation of the family of circles with fixed radius \(5\) units and centre on the line \(y = 2\) is :
A
\(\left( {x - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}\)
B
\(\left( {y - 2} \right){y^2} = 25 - {\left( {y - 2} \right)^2}\)
C
\({\left( {y - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}\)
D
\({\left( {x - 2} \right)^2}{y^2} = 25 - {\left( {y - 2} \right)^2}\)
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19
2008 · Mathematics · Coordinate Geometry · Circle
AIEEE 2008
The point diametrically opposite to the point \(P(1, 0)\) on the circle \({x^2} + {y^2} + 2x + 4y - 3 = 0\) is :
A
\((3, -4)\)
B
\((-3, 4)\)
C
\((-3, -4)\)
D
\((3, 4)\)
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20
2009 · Mathematics · Coordinate Geometry · Circle
AIEEE 2009
If \(P\) and \(Q\) are the points of intersection of the circles
\({x^2} + {y^2} + 3x + 7y + 2p - 5 = 0\) and \({x^2} + {y^2} + 2x + 2y - {p^2} = 0\) then there is a circle passing through \(P,Q\) and \((1, 1)\) for :
A
all except one value of \(p\)
B
all except two values of \(p\)
C
exactly one value of \(p\)
D
all values of \(p\)
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