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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.

9Papers
7Years
20Questions
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 20 100%

Question type distribution

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

Multiple Choices 20 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
20 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
20 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
20 Qs

Paper coverage

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

COMEDK 2026 Morning Shift
1 Qs
COMEDK 2025 Morning Shift
1 Qs
COMEDK 2024 MORNING SHIFT
2 Qs
COMEDK 2024 EVENING SHIFT
1 Qs
COMEDK 2023 Morning Shift
3 Qs
COMEDK 2023 EVENING SHIFT
1 Qs
COMEDK 2022
3 Qs
COMEDK 2021
3 Qs
COMEDK 2020
5 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
COMEDK 2026 Morning Shift20261View paper
COMEDK 2025 Morning Shift20251View paper
COMEDK 2024 EVENING SHIFT20241View paper
COMEDK 2024 MORNING SHIFT20242View paper
COMEDK 2023 EVENING SHIFT20231View paper
COMEDK 2023 Morning Shift20233View paper
COMEDK 202220223View paper
COMEDK 202120213View paper
COMEDK 202020205View paper

All Circle previous year questions

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

1
2020 · Mathematics · Coordinate Geometry · Circle
COMEDK 2020

The number of common tangents to the circles \(x^2+y^2=4\) and \(x^2+y^2-6x-8y-24=0\) is,

A
4
B
3
C
1
D
2
Open complete paper
2
2020 · Mathematics · Coordinate Geometry · Circle
COMEDK 2020

\({x^2} + {y^2} - 6x - 6y + 4 = 0\), \({x^2} + {y^2} - 2x - 4y + 3 = 0\), \({x^2} + {y^2} + 2kx + 2y + 1 = 0\). If the radical centre of the above three circles exists, then which of the following cannot be the value of k?

A
1
B
2
C
4
D
5
Open complete paper
3
2020 · Mathematics · Coordinate Geometry · Circle
COMEDK 2020

If the circles \({x^2} + {y^2} - 2x - 2y - 7 = 0\) and \({x^2} + {y^2} + 4x + 2y + k = 0\) cut orthogonally, then the length of the common chord of the circles is

A
2
B
12/\(\sqrt{13}\)
C
8
D
5
Open complete paper
4
2020 · Mathematics · Coordinate Geometry · Circle
COMEDK 2020

If \(3x+y+k=0\) is a tangent to the circle \(x^2+y^2=10\), the values of k are

A
\(\pm\) 5
B
\(\pm\) 7
C
\(\pm\) 9
D
\(\pm\) 10
Open complete paper
5
2020 · Mathematics · Coordinate Geometry · Circle
COMEDK 2020

The equation to two circles which touch the Y-axis at (0, 3) and make an intercept of 8 units on X-axis are

A
\({x^2} + {y^2} \pm 6x - 10y + 9 = 0\)
B
\({x^2} + {y^2} \pm 10x - 6y + 9 = 0\)
C
\({x^2} + {y^2} + 10x \pm 6y + 9 = 0\)
D
\({x^2} + {y^2} - 8x \pm 10y + 9 = 0\)
Open complete paper
6
2021 · Mathematics · Coordinate Geometry · Circle
COMEDK 2021

What will be the equation of the circle whose centre is (1, 2) and which passes through the point (4, 6)?

A
\({x^2} + {y^2} - 2x - 4y - 20 = 0\)
B
\({x^2} + {y^2} + 2x + 4y - 20 = 0\)
C
\({x^2} - {y^2} - 2x - 4y + 20 = 0\)
D
\({x^2} - {y^2} + 2x - 4y - 20 = 0\)
Open complete paper
7
2021 · Mathematics · Coordinate Geometry · Circle
COMEDK 2021

What will be the equation of circle whose centre is (1, 2) and touches X-axis?

A
\({x^2} + {y^2} - 2x - 4y + 1 = 0\)
B
\({x^2} - {y^2} + 2x + 4y + 1 = 0\)
C
\({x^2} + {y^2} + 2x - 4y - 1 = 0\)
D
\({x^2} + {y^2} + 2x + 4y - 1 = 0\)
Open complete paper
8
2021 · Mathematics · Coordinate Geometry · Circle
COMEDK 2021

Find the centre and radius of the circle given by the equation \(2{x^2} + 2{y^2} + 3x + 4y + {9 \over 8} = 0\).

A
1
B
\(-\)1
C
2
D
\(-\)2
Open complete paper
9
2022 · Mathematics · Coordinate Geometry · Circle
COMEDK 2022

If two circles \({(x - 1)^2} + {(y - 3)^2} = {r^2}\) and \({x^2} + {y^2} - 8x + 2y + 8 = 0\) intersect in two distinct points, then

A
\(2 < r < 8\)
B
\(r < 2\)
C
\(r = 2\)
D
\(r > 2\)
Open complete paper
10
2022 · Mathematics · Coordinate Geometry · Circle
COMEDK 2022

the circle \({x^2} + {y^2} + 4x - 7y + 12 = 0\) cuts an intercept on Y-axis of length

A
3
B
4
C
7
D
1
Open complete paper
11
2022 · Mathematics · Coordinate Geometry · Circle
COMEDK 2022

\(S\equiv x^2+y^2+2x+3y+1=0\) and \(S'\equiv x^2+y^2+4x+3y+2=0\) are two circles. The point \((-3,-2)\) lies

A
inside S' only
B
inside S only
C
inside S and S'
D
outside S and S'
Open complete paper
12
2023 · Mathematics · Coordinate Geometry · Circle
COMEDK 2023 EVENING SHIFT

The centre of the circle passing through \((0,0)\) and \((1,0)\) and touching the circle \(x^2+y^2=9\) is

A
\(\left(\frac{1}{2}, \frac{1}{2}\right)\)
B
\(\left(\frac{1}{2}, \frac{3}{2}\right)\)
C
\(\left(\frac{1}{2},-\sqrt{2}\right)\)
D
\(\left(\frac{3}{2}, \frac{1}{2}\right)\)
Open complete paper
13
2024 · Mathematics · Coordinate Geometry · Circle
COMEDK 2024 EVENING SHIFT

The equation of the circle which touches the \(x\)-axis, passes through the point \((1,1)\) and whose centre lies on the line \(x+y=3\) in the first quadrant is

A
\(x^2+y^2+4 x+2 y+4=0\)
B
\(x^2+y^2-4 x-2 y+4=0\)
C
\(x^2+y^2+4 x-2 y+4=0\)
D
\(x^2+y^2-4 x+2 y+4=0\)
Open complete paper
14
2024 · Mathematics · Coordinate Geometry · Circle
COMEDK 2024 MORNING SHIFT

The equation of a circle passing through the origin is \(x^2+y^2-6 x+2 y=0\). The equation of one of its diameter is

A
\(3 x-y=0\)
B
\(x+y=0\)
C
\(x-3 y=0\)
D
\(x+3 y=0\)
Open complete paper
15
2024 · Mathematics · Coordinate Geometry · Circle
COMEDK 2024 MORNING SHIFT

The area (in sq units) of the minor segment bounded by the circle \(x^2+y^2=a^2\) and the line \(x=\frac{a}{\sqrt{2}}\) is

A
\(\frac{a^2}{4}(\pi-2)\)
B
\(\frac{a^2}{4}(\pi+2)\)
C
\(\frac{\pi a^2}{4}\)
D
\(\frac{a^2}{4}(3 \pi-2)\)
Open complete paper
16
2023 · Mathematics · Coordinate Geometry · Circle
COMEDK 2023 Morning Shift

The points of intersection of circles \((x+1)^2+y^2=4\) and \((x-1)^2+y^2=9\) are \((a, \pm b)\), then \((a, b)\) equals to

A
\(\left(1.25, \frac{3}{4} \sqrt{7}\right)\)
B
\(\left(-1.25, \frac{3}{4} \sqrt{7}\right)\)
C
\((-1,2)\)
D
\((1,3)\)
Open complete paper
17
2023 · Mathematics · Coordinate Geometry · Circle
COMEDK 2023 Morning Shift

\(S \equiv x^2+y^2-2 x-4 y-4=0\) and \(S^{\prime} \equiv x^2+y^2-4 x-2 y-16=0\) are two circles the point \((-2,-1)\) lies

A
inside \(S^{\prime}\) only
B
inside \(S\) only
C
inside \(S\) and \(S^{\prime}\)
D
outside \(S\) and \(S^{\prime}\)
Open complete paper
18
2023 · Mathematics · Coordinate Geometry · Circle
COMEDK 2023 Morning Shift

The circle \(x^2+y^2+3 x-y+2=0\) cuts an intercept on \(X\)-axis of length

A
3
B
4
C
2
D
1
Open complete paper
19
2025 · Mathematics · Coordinate Geometry · Circle
COMEDK 2025 Morning Shift
Equation of a circle whose area is 154 sq units and having $2 x-3 y+12=0$ and $x+4 y-5=0$ as diameters is
A
$x^2+y^2+6 x-4 y+36=0$
B
$x^2-y^2+6 x-4 y-36=0$
C
$x^2+y^2-6 x+4 y-36=0$
D
$x^2+y^2+6 x-4 y-36=0$
Open complete paper
20
2026 · Mathematics · Coordinate Geometry · Circle
COMEDK 2026 Morning Shift

The radius of a circle is $\mathbf{5 ~ c m}$. A chord of this circle is equal to the radius. Then the length of the arc of this chord is:

A

3.14 cm

B

5.24 cm

C

2.62 cm

D

4.1 cm

Open complete paper