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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.

56Papers
43Years
101Questions
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 60 58.3%
Easy 20 19.4%
Hard 17 16.5%
Not classified 6 5.8%

Question type distribution

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

Multiple Choices 59 57.3%
Subjective 24 23.3%
Fill in the blanks 11 10.7%
Numerical Answer Type (NAT) 9 8.7%

Subject weightage

Top subjects by unique question coverage.

Mathematics
101 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
101 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
101 Qs

Paper coverage

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

JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 1 Online
1 Qs
JEE Advanced 2026 Paper 1 Online
1 Qs
JEE ADVANCED 2024 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2023 PAPER 2 ONLINE
2 Qs
JEE ADVANCED 2022 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2022 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2021 PAPER 2 ONLINE
4 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
1 Qs
JEE ADVANCED 2020 PAPER 2 OFFLINE
1 Qs
JEE ADVANCED 2019 PAPER 1 OFFLINE
2 Qs
JEE ADVANCED 2018 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2016 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2013 PAPER 2 OFFLINE
1 Qs
IIT JEE 2012 PAPER 2 OFFLINE
2 Qs
IIT JEE 2012 PAPER 1 OFFLINE
1 Qs
IIT JEE 2011 PAPER 2 OFFLINE
2 Qs
IIT JEE 2009 PAPER 1 OFFLINE
1 Qs
IIT JEE 2009 PAPER 2 OFFLINE
1 Qs
IIT JEE 2008 PAPER 1 OFFLINE
3 Qs
IIT JEE 2008 PAPER 2 OFFLINE
1 Qs
IIT JEE 2007 PAPER 2 OFFLINE
2 Qs
IIT JEE 2007 PAPER 1 OFFLINE
1 Qs
IIT JEE 2006
2 Qs
IIT JEE 2005
1 Qs
IIT JEE 2005 MAINS
1 Qs
IIT JEE 2005 SCREENING
1 Qs
IIT JEE 2004
1 Qs
IIT JEE 2004 SCREENING
1 Qs
IIT JEE 2003
1 Qs
IIT JEE 2003 SCREENING
1 Qs
IIT JEE 2002 SCREENING
2 Qs
IIT JEE 2001
2 Qs
IIT JEE 2001 SCREENING
2 Qs
IIT JEE 2000 SCREENING
2 Qs
IIT JEE 1999
2 Qs
IIT JEE 1998
3 Qs
IIT JEE 1997
3 Qs
IIT JEE 1996
4 Qs
IIT JEE 1994
1 Qs
IIT JEE 1993
4 Qs
IIT JEE 1992
2 Qs
IIT JEE 1991
2 Qs
IIT JEE 1990
1 Qs
IIT JEE 1989
5 Qs
IIT JEE 1988
3 Qs
IIT JEE 1987
3 Qs
IIT JEE 1986
3 Qs
IIT JEE 1985
3 Qs
IIT JEE 1984
3 Qs
IIT JEE 1983
4 Qs
IIT JEE 1982
1 Qs
IIT JEE 1981
2 Qs
IIT JEE 1980
2 Qs
IIT JEE 1978
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 1 Online20261View paper
JEE Advanced 2026 Paper 1 Online20261View paper
JEE ADVANCED 2024 PAPER 1 ONLINE20241View paper
JEE ADVANCED 2023 PAPER 2 ONLINE20232View paper
JEE ADVANCED 2022 PAPER 1 ONLINE20221View paper
JEE ADVANCED 2022 PAPER 2 ONLINE20221View paper
JEE ADVANCED 2021 PAPER 1 ONLINE20211View paper
JEE ADVANCED 2021 PAPER 2 ONLINE20214View paper
JEE ADVANCED 2020 PAPER 2 OFFLINE20201View paper
JEE ADVANCED 2019 PAPER 1 OFFLINE20192View paper
JEE ADVANCED 2018 PAPER 1 OFFLINE20181View paper
JEE ADVANCED 2016 PAPER 1 OFFLINE20161View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20141View paper
JEE ADVANCED 2013 PAPER 2 OFFLINE20131View paper
IIT JEE 2012 PAPER 1 OFFLINE20121View paper
IIT JEE 2012 PAPER 2 OFFLINE20122View paper
IIT JEE 2011 PAPER 2 OFFLINE20112View paper
IIT JEE 2009 PAPER 1 OFFLINE20091View paper
IIT JEE 2009 PAPER 2 OFFLINE20091View paper
IIT JEE 2008 PAPER 1 OFFLINE20083View paper
IIT JEE 2008 PAPER 2 OFFLINE20081View paper
IIT JEE 2007 PAPER 1 OFFLINE20071View paper
IIT JEE 2007 PAPER 2 OFFLINE20072View paper
IIT JEE 200620062View paper
IIT JEE 200520051View paper
IIT JEE 2005 MAINS20051View paper
IIT JEE 2005 SCREENING20051View paper
IIT JEE 200420041View paper
IIT JEE 2004 SCREENING20041View paper
IIT JEE 200320031View paper
IIT JEE 2003 SCREENING20031View paper
IIT JEE 2002 SCREENING20022View paper
IIT JEE 200120012View paper
IIT JEE 2001 SCREENING20012View paper
IIT JEE 2000 SCREENING20002View paper
IIT JEE 199919992View paper
IIT JEE 199819983View paper
IIT JEE 199719973View paper
IIT JEE 199619964View paper
IIT JEE 199419941View paper
IIT JEE 199319934View paper
IIT JEE 199219922View paper
IIT JEE 199119912View paper
IIT JEE 199019901View paper
IIT JEE 198919895View paper
IIT JEE 198819883View paper
IIT JEE 198719873View paper
IIT JEE 198619863View paper
IIT JEE 198519853View paper
IIT JEE 198419843View paper
IIT JEE 198319834View paper
IIT JEE 198219821View paper
IIT JEE 198119812View paper
IIT JEE 198019802View paper
IIT JEE 197819781View paper

All Circle previous year questions

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

1
1978 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1978
Find the equation of the circle whose radius is 5 and which touches the circle \({x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,\) at the point (5, 5).
Write your response
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2
1980 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1980
Two circles \({x^2} + {y^2} = 6\) and \({x^2} + {y^2} - 6x + 8 = 0\) are given. Then the equation of the circle through their points of intersection and the point (1, 1) is
A
\({x^2} + {y^2} - 6x + 4 = 0\)
B
\({x^2} + {y^2} - 3x + 1 = 0\)
C
\({x^2} + {y^2} - 4y + 2 = 0\)
D
none of these
Open complete paper
3
1980 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1980
A square is inscribed in the circle \({x^2} + {y^2} - 2x + 4y + 3 = 0\). Its sides are parallel to the coordinate axes. The one vertex of the square is
A
\(\left( {1 + \sqrt {2,} - 2} \right)\)
B
\(\left( {1 - \sqrt {2}, - 2} \right)\)
C
\(\left( {1, - 2 + \sqrt 2 } \right)\)
D
none of these
Open complete paper
4
1981 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1981
Let A be the centre of the circle \({x^2}\, + \,{y^2}\, - \,2x\,\, - 4y\, - 20 = 0\,\). Suppose that the tangents at the points B (1, 7) and D (4. - 2) on the circle meet at the point C. Find the area of the quadrilateral ABCD.
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5
1981 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1981
Find the equations of the circle passing through (- 4, 3) and touching the lines x + y = 2 and x - y = 2.
Write your response
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6
1982 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1982
If A and B are points in the plane such that PA/PB = k (constant) for all P on a given circle, then the value of k cannot be equal to ..........................................
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7
1983 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1983
Through a fixed point (h, k) secants are drawn to the circle \(\,{x^2}\, + \,{y^2} = \,{r^2}\). Show that the locus of the mid-points of the secants intercepted by the circle is \(\,{x^2}\, + \,{y^2}\) = \(hx + ky\).
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8
1983 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1983
The equation of the circle passing through (1, 1) and the points of intersection of \({x^2} + {y^2} + 13x - 3y = 0\) and \(2{x^2} + 2{y^2} + 4x - 7y - 25 = 0\) is
A
\(4{x^2} + 4{y^2} - 30x - 10y - 25 = 0\)
B
\(4{x^2} + 4{y^2} + 30x - 13y - 25 = 0\)
C
\(4{x^2} + 4{y^2} - 17x - 10y + 25 = 0\)
D
none of these
Open complete paper
9
1983 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1983
The centre of the circle passing through the point (0, 1) and touching the curve \(\,y = {x^2}\) at (2, 4) is
A
\(\left( {{{ - 16} \over 5},{{ - 27} \over {10}}} \right)\)
B
\(\left( {{{ - 16} \over 7},{{53} \over {10}}} \right)\)
C
\(\left( {{{ - 16} \over 5},{{53} \over {10}}} \right)\)
D
none of these
Open complete paper
10
1983 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1983
The point of intersection of the line 4x - 3y - 10 = 0 and the circle \({x^2} + {y^2} - 2x + 4y - 20 = 0\) are ........................and ...................
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11
1984 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1984
The locus of the mid-point of a chord of the circle \({x^2} + {y^2} = 4\) which subtends a right angle at the origin is
A
x + y = 2
B
\({x^2} + {y^2} = 1\)
C
\({x^2} + {y^2} = 2\)
D
\(x + y\)=1
Open complete paper
12
1984 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1984
The abscissa of the two points A and B are the roots of the equation \({x^2}\, + \,2ax\, - {b^2} = 0\) and their ordinates are the roots of the equation \({x^2}\, + \,2px\, - {q^2} = 0\). Find the equation and the radius of the circle with AB as diameter.
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13
1984 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1984
The lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to the same circle. The radius of this circle is ........................................
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14
1985 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1985
No tangent can be drawn from the point (5/2, 1) to the circumcircle of the triangle with vertices \(\left( {1,\sqrt 3 } \right)\,\,\left( {1, - \sqrt 3 } \right),\,\,\left( {3,\sqrt 3 } \right)\).
A
TRUE
B
FALSE
Open complete paper
15
1985 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1985
Let \({x^2} + {y^2} - 4x - 2y - 11 = 0\) be a circle. A pair of tangentas from the point (4, 5) with a pair of radi from a quadrilateral of area............................
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16
1985 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1985
From the origin chords are drawn to the circle \({(x - 1)^2} + {y^2} = 1\). The equation of the locus of the mid-points of these chords is.............
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17
1986 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1986
Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle \(C_1\) of diameter 6. If the centre of \(C_1\) lies in the first quadrant, find the equation of the circle \(C_2\) which is concentric with \(C_1\) and cuts intercepts of length 8 on these lines.
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18
1986 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1986
The equation of the line passing through the points of intersection of the circles \(3{x^2} + 3{y^2} - 2x + 12y - 9 = 0\) and \({x^2} + {y^2} - 6x + 2y - 15 = 0\) is..............................
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19
1986 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1986
From the point A(0, 3) on the circle \({x^2} + 4x + {(y - 3)^2} = 0\), a chord AB is drawn and extended to a point M such that AM = 2AB. The equation of the locus of M is..........................
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20
1987 · Mathematics · Coordinate Geometry · Circle
IIT JEE 1987
The circle \({x^2}\, + \,{y^2} - \,4x\, - 4y + \,4 = 0\) is inscribed in a triangle which has two of its sides along the co-ordinate axes. The locus of the circumcentre of the triangle is \(x\, + \,y\, - xy\, + k\,{\left( {{x^2}\, + \,{y^2}} \right)^{1/2}} = 0\). Find k.
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Showing 20 of 101 questions