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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.

72Papers
8Years
74Questions
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 74 100%

Question type distribution

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

Multiple Choices 74 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
74 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
74 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Circle
74 Qs

Paper coverage

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

MHT CET 2026 18th April Morning Shift
2 Qs
MHT CET 2026 11th April Evening Shift
1 Qs
MHT CET 2026 11th April Morning Shift
1 Qs
MHT CET 2026 13th April Evening Shift
1 Qs
MHT CET 2026 13th April Morning Shift
1 Qs
MHT CET 2026 15th April Evening Shift
1 Qs
MHT CET 2026 15th April Morning Shift
1 Qs
MHT CET 2026 16th April Evening Shift
1 Qs
MHT CET 2026 16th April Morning Shift
1 Qs
MHT CET 2026 17th April Evening Shift
1 Qs
MHT CET 2026 17th April Morning Shift
1 Qs
MHT CET 2026 18th April Evening Shift
1 Qs
MHT CET 2026 19th April Evening Shift
1 Qs
MHT CET 2026 19th April Morning Shift
1 Qs
MHT CET 2026 20th April Evening Shift
1 Qs
MHT CET 2026 20th April Morning Shift
1 Qs
MHT CET 2025 19TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 19TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 20TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 20TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 21ST APRIL EVENING SHIFT
1 Qs
MHT CET 2025 21ST APRIL MORNING SHIFT
1 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
1 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
1 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
1 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
1 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
1 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
1 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
1 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
1 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
1 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
1 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
1 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
1 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
1 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
1 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 23th September Morning Shift
1 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
1 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
1 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
1 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
2 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
MHT CET 2026 11th April Evening Shift20261View paper
MHT CET 2026 11th April Morning Shift20261View paper
MHT CET 2026 13th April Evening Shift20261View paper
MHT CET 2026 13th April Morning Shift20261View paper
MHT CET 2026 15th April Evening Shift20261View paper
MHT CET 2026 15th April Morning Shift20261View paper
MHT CET 2026 16th April Evening Shift20261View paper
MHT CET 2026 16th April Morning Shift20261View paper
MHT CET 2026 17th April Evening Shift20261View paper
MHT CET 2026 17th April Morning Shift20261View paper
MHT CET 2026 18th April Evening Shift20261View paper
MHT CET 2026 18th April Morning Shift20262View paper
MHT CET 2026 19th April Evening Shift20261View paper
MHT CET 2026 19th April Morning Shift20261View paper
MHT CET 2026 20th April Evening Shift20261View paper
MHT CET 2026 20th April Morning Shift20261View paper
MHT CET 2025 19TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 20TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20251View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20251View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20251View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20251View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20251View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20251View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 26TH APRIL EVENING SHIFT20251View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20251View paper
MHT CET 2025 5TH MAY EVENING SHIFT20251View paper
MHT CET 2024 10TH MAY EVENING SHIFT20241View paper
MHT CET 2024 10TH MAY MORNING SHIFT20241View paper
MHT CET 2024 11TH MAY EVENING SHIFT20241View paper
MHT CET 2024 11TH MAY MORNING SHIFT20241View paper
MHT CET 2024 15TH MAY EVENING SHIFT20241View paper
MHT CET 2024 15TH MAY MORNING SHIFT20241View paper
MHT CET 2024 16TH MAY EVENING SHIFT20241View paper
MHT CET 2024 16TH MAY MORNING SHIFT20241View paper
MHT CET 2024 2ND MAY EVENING SHIFT20241View paper
MHT CET 2024 2ND MAY MORNING SHIFT20241View paper
MHT CET 2024 3RD MAY EVENING SHIFT20241View paper
MHT CET 2024 3RD MAY MORNING SHIFT20241View paper
MHT CET 2024 4TH MAY EVENING SHIFT20241View paper
MHT CET 2024 4TH MAY MORNING SHIFT20241View paper
MHT CET 2024 9TH MAY EVENING SHIFT20241View paper
MHT CET 2024 9TH MAY MORNING SHIFT20241View paper
MHT CET 2023 10TH MAY EVENING SHIFT20231View paper
MHT CET 2023 10TH MAY MORNING SHIFT20231View paper
MHT CET 2023 11TH MAY EVENING SHIFT20231View paper
MHT CET 2023 11TH MAY MORNING SHIFT20231View paper
MHT CET 2023 12TH MAY EVENING SHIFT20231View paper
MHT CET 2023 12TH MAY MORNING SHIFT20231View paper
MHT CET 2023 13TH MAY EVENING SHIFT20231View paper
MHT CET 2023 13TH MAY MORNING SHIFT20231View paper
MHT CET 2023 14TH MAY EVENING SHIFT20231View paper
MHT CET 2023 14TH MAY MORNING SHIFT20231View paper
MHT CET 2023 9TH MAY EVENING SHIFT20231View paper
MHT CET 2023 9TH MAY MORNING SHIFT20231View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20221View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 23th September Morning Shift20211View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20211View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20211View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20201View paper
MHT CET 2019 2ND MAY EVENING SHIFT20192View paper
MHT CET 2019 2ND MAY MORNING SHIFT20191View paper

All Circle previous year questions

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

1
2019 · Mathematics · Coordinate Geometry · Circle
MHT CET 2019 2ND MAY EVENING SHIFT

The equation of the circle concentric with the circle $x^2+y^2-6 x-4 y-12=0$ and touching the $Y$-axis is ............

A
$x^2+y^2-6 x-4 y+4=0$
B
$x^2+y^2-6 x-4 y+9=0$
C
$x^2+y^2-6 x-4 y-4=0$
D
$x^2+y^2-6 x-4 y-9=0$
Open complete paper
2
2019 · Mathematics · Coordinate Geometry · Circle
MHT CET 2019 2ND MAY EVENING SHIFT

The intercept on the line $y=x$ by the circle $x^2+y^2-2 x=0$ is $A B$. The equation of the circle with $A B$ as a diameter is .............

A
$x^2+y^2+x+y=0$
B
$x^2+y^2-x-y=0$
C
$x^2+y^2-3 x+y=0$
D
$x^2+y^2+3 x-y=0$
Open complete paper
3
2019 · Mathematics · Coordinate Geometry · Circle
MHT CET 2019 2ND MAY MORNING SHIFT

The general solution of the differential equation of all circles having centre at $A(-1,2)$ is ........

A
$x^2+y^2+x-2 y+c=0$
B
$x^2+y^2-2 x+4 y+c=0$
C
$x^2+y^2-x+2 y+c=0$
D
$x^2+y^2+2 x-4 y+c=0$
Open complete paper
4
2020 · Mathematics · Coordinate Geometry · Circle
MHT CET 2020 16TH OCTOBER MORNING SHIFT

The radius of the circle passing through the points \((5,7),(2,-2)\) and \((-2,0)\) is

A
2 units
B
5 units
C
3 units
D
4 units
Open complete paper
5
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT

If the lines \(3x - 4y + 4 = 0\) and \(6x - 8y - 7 = 0\) are tangents to a circle, then the radius of the circle is

A
\(\frac{7}{4}\) units
B
\(\frac{3}{4}\) units
C
\(\frac{4}{3}\) units
D
\(\frac{1}{4}\) units
Open complete paper
6
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT

The equation of circle with centre at \((2,-3)\) and the circumference \(10 \pi\) units is

A
\(x^2+y^2-4 x+6 y-12=0\)
B
\(x^2+y^2+4 x+6 y+12=0\)
C
\(x^2+y^2-4 x-6 y-12=0\)
D
\(x^2+y^2-4 x+6 y+12=0\)
Open complete paper
7
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT

The equation of the circle whose centre lies on the line \(x-4 y=1\) and which passes through the points \((3,7)\) and \((5,5)\) is

A
\(x^2+y^2+6 x-2 y+90=0\)
B
\(x^2+y^2-6 x-2 y-25=0\)
C
\(x^2+y^2-6 x+2 y-30=0\)
D
\(x^2+y^2+6 x+2 y-90=0\)
Open complete paper
8
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT

Two circles centred at \((2,3)\) and \((4,5)\) intersects each other. If their radii are equal, then the equation of the common chord is

A
\(x+y+1=0\)
B
\(x+y-1=0\)
C
\(x+y-7=0\)
D
\(x+y+7=0\)
Open complete paper
9
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT

The equation of a circle that passes through the origin and cut off intercepts \(-2\) and 3 on the \(\mathrm{X}\)-axis and \(\mathrm{Y}\)-axis respectively is

A
\(x^2+y^2-2 x+3 y=0\)
B
\(x^2+y^2+2 x+3 y=0\)
C
\(x^2+y^2+2 x-3 y=0\)
D
\(x^2+y^2-2 x-3 y=0\)
Open complete paper
10
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT

The equation of common tangent to the circles \(x^2+y^2-4 x+10 y+20=0\) and \(x^2+y^2+8 x-6 y-24=0\) is

A
\(3 x-4 y+11=0\)
B
\(3 x-4 y-11=0\)
C
\(-3 x-4 y+11=0\)
D
\(3 x+4 y+11=0\)
Open complete paper
11
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT

If \(y=2 x\) is a chord of circle \(x^2+y^2-10 x=0\), then the equation of circle with this chord as diameter is

A
\(x^2+y^2-2 x-4 y=0\)
B
\(x^2+y^2+2 x+4 y=0\)
C
\(x^2+y^2-2 x+4 y=0\)
D
\(x^2+y^2+2 x-4 y=0\)
Open complete paper
12
2021 · Mathematics · Coordinate Geometry · Circle
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT

Equationof the chord of the circle \(x^2+y^2-4 x-10 y+25=0\) having mid-point \((1,2)\) is

A
\(-x+3 y=5\)
B
\(x+3 y=7\)
C
\(5 x+y=7\)
D
\(3 x+y=5\)
Open complete paper
13
2022 · Mathematics · Coordinate Geometry · Circle
MHT CET 2022 11TH AUGUST EVENING SHIFT

If the lines \(3 x-4 y-7=0\) and \(2 x-3 y-5=0\) pass through diameters of a circle of area \(49 \pi\) square units, then the equation of the circle is

A
\(x^2+y^2-2 x+2 y-47=0\)
B
\(x^2+y^2-2 x+2 y+51=0\)
C
\(x^2+y^2+2 x-2 y-51=0\)
D
\(x^2+y^2+2 x+2 y+47=0\)
Open complete paper
14
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 10TH MAY EVENING SHIFT

The parametric equations of the circle \(x^2+y^2+2 x-4 y-4=0\) are

A
\(x=-1+3 \cos \theta, y=2+3 \sin \theta\)
B
\(x=1+3 \cos \theta, y=-2+3 \sin \theta\)
C
\(x=-1+3 \sin \theta, y=-2+3 \cos \theta\)
D
\(x=1+3 \sin \theta, y=-2+3 \cos \theta\)
Open complete paper
15
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 10TH MAY MORNING SHIFT

If the circles \(x^2+y^2=9\) and \(x^2+y^2+2 \alpha x+2 y+1=0\) touch each other internally, then the value of \(\alpha^3\) is

A
\(\frac{27}{64}\)
B
\(\frac{125}{27}\)
C
\(\frac{27}{125}\)
D
\(\frac{64}{27}\)
Open complete paper
16
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 11TH MAY EVENING SHIFT

If a circle passes through points \((4,0)\) and \((0,2)\) and its centre lies on \(\mathrm{Y}\)-axis. If the radius of the circle is \(r\), then the value of \(r^2-r+1\) is

A
25
B
21
C
20
D
10
Open complete paper
17
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 11TH MAY MORNING SHIFT

Number of common tangents to the circles \(x^2+y^2-6 x-14 y+48=0\) and \(x^2+y^2-6 x=0\) are

A
0
B
1
C
4
D
2
Open complete paper
18
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 12TH MAY EVENING SHIFT

The circles \(x^2+y^2+2 \mathrm{a} x+\mathrm{c}=0\) and \(x^2+y^2+2 b y+c=0\) touch each other externally, if

A
\(\frac{1}{\mathrm{a}^2}-\frac{1}{\mathrm{~b}^2}=\frac{1}{\mathrm{c}}\)
B
\(\frac{1}{\mathrm{a}^2}+\frac{1}{\mathrm{~b}^2}=\frac{1}{\mathrm{c}}\)
C
\(\frac{1}{\mathrm{a}^2}+\frac{1}{\mathrm{~b}^2}=\frac{1}{\mathrm{c}^2}\)
D
\(\frac{1}{\mathrm{a}^2}-\frac{1}{\mathrm{~b}^2}=\frac{1}{\mathrm{c}^2}\)
Open complete paper
19
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 12TH MAY MORNING SHIFT

If \(\lambda\) is the perpendicular distance of a point \(\mathrm{P}\) on the circle \(x^2+y^2+2 x+2 y-3=0\), from the line \(2 x+y+13=0\), then maximum possible value of \(\lambda\) is

A
\(2 \sqrt{5}\)
B
\(3 \sqrt{5}\)
C
\(4 \sqrt{5}\)
D
\(\sqrt{5}\)
Open complete paper
20
2023 · Mathematics · Coordinate Geometry · Circle
MHT CET 2023 13TH MAY EVENING SHIFT

The abscissae of two points \(A\) and \(B\) are the roots of the equation \(x^2+2 a x-b^2=0\) and their ordinates are roots of the equation \(y^2+2 p y-q^2=0\). Then, the equation of the circle with \(A B\) as diameter is given by

A
\(x^2+y^2-2 a x-2 p y+\left(b^2+q^2\right)=0\)
B
\(x^2+y^2-2 a x-2 p y-\left(b^2+q^2\right)=0\)
C
\(x^2+y^2+2 a x+2 p y+\left(b^2+q^2\right)=0\)
D
\(x^2+y^2+2 a x+2 p y-\left(b^2+q^2\right)=0\)
Open complete paper

Showing 20 of 74 questions