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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.

16Papers
14Years
41Questions
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.

Not classified 42 100%

Question type distribution

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

Multiple Choices 42 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
41 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
41 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
41 Qs

Paper coverage

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

WB JEE 2026
1 Qs
WB JEE 2026
1 Qs
VITEEE 2025
2 Qs
WB JEE 2025
2 Qs
WB JEE 2024
2 Qs
WB JEE 2022
6 Qs
WB JEE 2021
2 Qs
WB JEE 2020
2 Qs
WB JEE 2019
2 Qs
WB JEE 2018
5 Qs
WB JEE 2017
3 Qs
WB JEE 2016
2 Qs
WB JEE 2011
4 Qs
WB JEE 2010
1 Qs
WB JEE 2009
3 Qs
WB JEE 2008
4 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
WB JEE 202620261View paper
WB JEE 202620261View paper
VITEEE 202520252View paper
WB JEE 202520252View paper
WB JEE 202420242View paper
WB JEE 202220226View paper
WB JEE 202120212View paper
WB JEE 202020202View paper
WB JEE 201920192View paper
WB JEE 201820185View paper
WB JEE 201720173View paper
WB JEE 201620162View paper
WB JEE 201120114View paper
WB JEE 201020101View paper
WB JEE 200920093View paper
WB JEE 200820084View paper

All Circle previous year questions

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

1
2016 · Mathematics · Coordinate Geometry · Circle
WB JEE 2016
The locus of the mid-points of chords of the circle x2 + y2 = 1, which subtends a right angle at the origin, is
A
\({x^2} + {y^2} = {1 \over 4}\)
B
\({x^2} + {y^2} = {1 \over 2}\)
C
xy = 0
D
\({x^2} - {y^2} = 0\)
Open complete paper
2
2016 · Mathematics · Coordinate Geometry · Circle
WB JEE 2016
The equation of a line parallel to the line 3x + 4y = 0 and touching the circle x2 + y2 = 9 in the first quadrant, is
A
3x + 4y = 15
B
3x + 4y = 45
C
3z + 4y = 9
D
3x + 4y = 27
Open complete paper
3
2017 · Mathematics · Coordinate Geometry · Circle
WB JEE 2017
If one of the diameters of the curve x2 + y2 \(-\) 4x \(-\) 6y + 9 = 0 is a chord of a circle with centre (1, 1), the radius of this circle is
A
3
B
2
C
\(\sqrt 2\)
D
1
Open complete paper
4
2017 · Mathematics · Coordinate Geometry · Circle
WB JEE 2017
The locus of the mid-points of the chords of the circle \({x^2} + {y^2} + 2x - 2y - 2 = 0\), which make an angle of 90\(^\circ\) at the centre is
A
\({x^2} + {y^2} - 2x - 2y = 0\)
B
\({x^2} + {y^2} - 2x + 2y = 0\)
C
\({x^2} + {y^2} + 2x - 2y = 0\)
D
\({x^2} + {y^2} + 2x - 2y-1 = 0\)
Open complete paper
5
2017 · Mathematics · Coordinate Geometry · Circle
WB JEE 2017
The common chord of the circles \({x^2} + {y^2} - 4x - 4y = 0\) and \(2{x^2} + 2{y^2} = 32\) subtends at the origin an angle equal to
A
\({\pi \over 3}\)
B
\({\pi \over 4}\)
C
\({\pi \over 6}\)
D
\({\pi \over 2}\)
Open complete paper
6
2018 · Mathematics · Coordinate Geometry · Circle
WB JEE 2018
Without changing the direction of the axes, the origin is transferred to the point (2, 3). Then the equation x2 + y2 \(-\) 4x \(-\) 6y + 9 = 0 changes to
A
x2 + y2 + 4 = 0
B
x2 + y2 = 4
C
x2 + y2 \(-\) 8x \(-\) 12y + 48 = 0
D
x2 + y2 = 9
Open complete paper
7
2018 · Mathematics · Coordinate Geometry · Circle
WB JEE 2018
The angle between a pair of tangents drawn from a point P to the circle x2 + y2 + 4x \(-\) 6y + 9sin2\(\alpha\) + 13cos2\(\alpha\) = 0 is 2\(\alpha\). The equation of the locus of the point P is
A
x2 + y2 + 4x + 6y + 9 = 0
B
x2 + y2 \(-\) 4x + 6y + 9 = 0
C
x2 + y2 \(-\) 4x \(-\) 6y + 9 = 0
D
x2 + y2 + 4x \(-\) 6y + 9 = 0
Open complete paper
8
2018 · Mathematics · Coordinate Geometry · Circle
WB JEE 2018
Let A be the centre of the circle \({x^2} + {y^2} - 2x - 4y - 20 = 0\). Let B(1, 7) and D(4, \(-\)2) be two points on the circle such that tangents at B and D meet at C. The area of the quadrilateral ABCD is
A
150 sq units
B
50 sq units
C
75 sq units
D
70 sq units
Open complete paper
9
2018 · Mathematics · Coordinate Geometry · Circle
WB JEE 2018
A chord AB is drawn from the point A(0, 3) on the circle x2 + 4x + (y \(-\) 3)2 = 0, and is extended to M such that AM = 2AB. The locus of M is
A
x2 + y2 \(-\) 8x \(-\) 6y + 9 = 0
B
x2 + y2 + 8x + 6y + 9 = 0
C
x2 + y2 + 8x \(-\) 6y + 9 = 0
D
x2 + y2 \(-\) 8x + 6y + 9 = 0
Open complete paper
10
2018 · Mathematics · Coordinate Geometry · Circle
WB JEE 2018
If one of the diameter of the circle, given by the equation x2 + y2 + 4x + 6y \(-\) 12 = 0, is a chord of a circle S, whose centre is (2, \(-\) 3), the radius of S is
A
\(\sqrt {41}\) unit
B
3\(\sqrt {5}\) unit
C
5\(\sqrt {2}\) unit
D
2\(\sqrt {5}\) unit
Open complete paper
11
2019 · Mathematics · Coordinate Geometry · Circle
WB JEE 2019
If P(0, 0), Q(1, 0) and R\(\left( {{1 \over 2},{{\sqrt 3 } \over 2}} \right)\) are three given points, then the centre of the circle for which the lines PQ, QR and RP are the tangents is
A
\(\left( {{1 \over 2},{1 \over 4}} \right)\)
B
\(\left( {{1 \over 2},{{\sqrt 3 } \over 4}} \right)\)
C
\(\left( {{1 \over 2},{1 \over {2\sqrt 3 }}} \right)\)
D
\(\left( {{1 \over 2},{{ - 1} \over {\sqrt 3 }}} \right)\)
Open complete paper
12
2019 · Mathematics · Coordinate Geometry · Circle
WB JEE 2019
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
\({(x - p)^2} = 4qy\)
B
\({(x - q)^2} = 4py\)
C
\({(y - p)^2} = 4qx\)
D
\({(y - q)^2} = 4px\)
Open complete paper
13
2020 · Mathematics · Coordinate Geometry · Circle
WB JEE 2020
The locus of the centre of the circles which touch both the circles x2 + y2 = a2 and x2 + y2 = 4ax externally is
A
a circle
B
a parabolla
C
an ellipse
D
a hyperbola
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14
2020 · Mathematics · Coordinate Geometry · Circle
WB JEE 2020
The equation of circle of radius \(\sqrt {17}\) unit, with centre on the positive side of X-axis and through the point (0, 1) is
A
\({x^2} + {y^2} - 8x - 1 = 0\)
B
\({x^2} + {y^2} + 8x - 1 = 0\)
C
\({x^2} + {y^2} - 9y + 1 = 0\)
D
\(2{x^2} + 2{y^2} - 3x + 2y = 4\)
Open complete paper
15
2021 · Mathematics · Coordinate Geometry · Circle
WB JEE 2021
Two tangents to the circle x2 + y2 = 4 at the points A and B meet at M(\(-\)4, 0). The area of the quadrilateral MAOB, where O is the origin is
A
\(4\sqrt 3\) sq. units
B
\(2\sqrt 3\) sq. units
C
\(\sqrt 3\) sq. units
D
\(3\sqrt 3\) sq. units
Open complete paper
16
2021 · Mathematics · Coordinate Geometry · Circle
WB JEE 2021
Let P be a variable point on a circle C and Q be a fixed point outside C. If R is the midpoint of the line segment PQ, then locus of R is
A
a circle
B
a circle and a pair of straight lines
C
a rectangular hyperbola
D
a pair of straight lines
Open complete paper
17
2022 · Mathematics · Coordinate Geometry · Circle
WB JEE 2022

A curve passes through the point (3, 2) for which the segment of the tangent line contained between the co-ordinate axes is bisected at the point of contact. The equation of the curve is

A
\(y = {x^2} - 7\)
B
\(x = {{{y^2}} \over 2} + 2\)
C
\(xy = 6\)
D
\({x^2} + {y^2} - 5x + 7y + 11 = 0\)
Open complete paper
18
2022 · Mathematics · Coordinate Geometry · Circle
WB JEE 2022

Twenty metres of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle be, if the area of the flower bed be greatest?

A
10 m
B
4 m
C
5 m
D
6 m
Open complete paper
19
2022 · Mathematics · Coordinate Geometry · Circle
WB JEE 2022

If the equation of one tangent to the circle with centre at (2, \(-\)1) from the origin is 3x + y = 0, then the equation of the other tangent through the origin is

A
\(3x - y = 0\)
B
\(x + 3y = 0\)
C
\(x - 3y = 0\)
D
\(x + 2y = 0\)
Open complete paper
20
2022 · Mathematics · Coordinate Geometry · Circle
WB JEE 2022

The side AB of \(\Delta\)ABC is fixed and is of length 2a unit. The vertex moves in the plane such that the vertical angle is always constant and is \(\alpha\). Let x-axis be along AB and the origin be at A. Then the locus of the vertex is

A
\({x^2} + {y^2} + 2ax\sin \alpha + {a^2}\cos \alpha = 0\)
B
\({x^2} + {y^2} - 2ax - 2ay\cot \alpha = 0\)
C
\({x^2} + {y^2} - 2ax\cos \alpha - {a^2} = 0\)
D
\({x^2} + {y^2} - ax\sin \alpha - ay\cos \alpha = 0\)
Open complete paper

Showing 20 of 41 questions