MHT CET PYQs for Circle with Solutions: Practice MHT CET Previous Year Questions

Circle is a Class 11 chapter in the Mathematics section of the MHT CET for candidates who are preparing for the PCM (Physics, Chemistry, and Mathematics).

The key topics covered in Circle PYQs are:

Equation of a circle under given conditions
Family of circles
Tangent and normal to a circle
Number of common tangents to two circles
Pair of tangents and chord with a given mid-point

Practising Circle MHT CET PYQ helps candidates to understand question pattern, improve calculation speed, and identify concepts which were asked in previous exams.

Based on chapter-wise analysis of the MHT CET Mathematics paper, you can get about 2 marks per paper by covering Circle. The chapter recorded 94 questions across the 80 shifts in the data, and 33 of them came in the 2025 and 2026 papers, which is about 1 of the 50 Mathematics questions in a typical shift.

MHT CET Circle Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2018-2026)	94
Questions in the 2025 and 2026 papers (33 shifts)	33
Questions in the 2018 to 2026 papers (80 shifts)	94
Typical number of Mathematics questions from this topic in one shift	About 1 out of 50
Marks for each question	2

The PDF holds 94 questions from MHT CET 2026 to 2018, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Circle PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Circle PYQs. Every shift has 50 Mathematics questions, and the last column is the number of questions asked divided by the shifts held, rounded to a whole number.

Year	Questions Asked	Shifts Held	Typical Questions in One Shift
2026	15	16	About 1 out of 50
2025	18	17	About 1 out of 50
2024	22	18	About 1 out of 50
2023	13	12	About 1 out of 50
2022	2	1	About 2 out of 50

The 2018 to 2021 papers in the PDF add 24 more questions: 2021 had 18, 2020 had 2, 2019 had 3, 2018 had 1.

MHT CET Circle Important Questions: Topic-Wise Breakdown

The major types of questions asked from Circle in MHT CET cover the following topics:

Topic	Questions in the PDF	Share of the PDF
Family Of Circle	32	34%
Basic Theorems Of A Circle	14	15%
Tangent And Normal	13	14%
Number Of Common Tangents And Position Of Two Circle	5	5%
Pair Of Tangents	4	4%
Intercepts Of A Circle	3	3%
Parametric Form Of A Circle	3	3%
Area of quadrilateral tangents	3	3%
Other topics tagged in the PDF	17	18%

Pair PYQs with Other Study Material for MHT CET 2027

Click on the link to practise problems and time management skills:

Resource	Link
MHT CET Sample Paper	Check Here
MHT CET Mock Test	Check Here

Question Style in MHT CET Circle PYQs

Every question in this PDF is a single-correct MCQ. Most ask for the equation of a circle or of a tangent that satisfies given conditions.

Question Style	What it Tests
Equation of a circle	A circle whose centre lies on a given line and which touches two lines, a circle concentric with a given circle that touches the x-axis, and a circle drawn on a diagonal as its diameter
Tangents	The equations of tangents that are parallel to a given line, and the point of intersection of the tangents when the angle between them is given
Two circles	The number of common tangents to two given circles
Intercepts and chords	The circle that passes through the origin and cuts off given intercepts on the axes, and the circle with a chord as its diameter
Questions from neighbouring topics	A few questions on the general solution of a differential equation are also tagged to the chapter

How to Use the Circle PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 33 of the 94 questions.
Write the equation of a family of circles with one unknown and use the given condition to find it.
For a tangent, use the condition that the distance of the centre from the line equals the radius.
Solve year-wise PYQs by timing yourself, as time management is crucial.
Re-attempt only the questions you got wrong, and note which formula or step you missed.

Video: Circle PYQs and MCQs

Source: Modx4Maths

Circle PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Circle every year?

Ans. In this PDF, the questions are 15 from 2026, 18 from 2025, 22 from 2024, 13 from 2023 and 2 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 33 questions across 33 shifts, which is about 1 in a typical shift.

Ques. Which topics are asked most frequently in MHT CET Circle?

Ans. Family Of Circle is the largest topic tag in the PDF with 32 of the 94 questions, about 34%.

Ques. What kind of questions are asked from Circle?

Ans. Single-correct MCQs. Common ones ask for the equation of a circle or a tangent under given conditions, or for the number of common tangents.

Ques. What is the best way to practise Circle PYQs?

Ans. First solve the 2025 and 2026 questions completely, then the older ones, and finally re-attempt the questions you got wrong.

Ques. Can I score full marks from Circle?

Ans. In 2025 and 2026 together the chapter had 33 questions across 33 shifts. Learning the standard and general equations of a circle and the tangent conditions is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Circle PYQ PDF include solutions?

Ans. No. The PDF contains the questions with their exam date and shift, without answer keys or solutions.

MHT CET PYQs for Circle with Solutions: Practice MHT CET Previous Year Questions

Circle PYQ Statistics (2022-2026)

MHT CET Circle Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Circle PYQs

How to Use the Circle PYQ PDF for MHT CET

Video: Circle PYQs and MCQs

Circle PYQ for MHT CET Mathematics FAQs

1.
The centre and radius of the circle \((a+1)x^2+3y^2-6x+9y+a+4 = 0\) are respectively ...

2.
If the equation \(3x^2+(3-p)xy+qy^2-2px = 8pq\) represents a circle, then the area (in sq. units) of this circle is

3.
Two tangents to $x^{2}+y^{2}=4$ at A and B meet at $P(-4,0).$ Area of quadrilateral PAOB is}

4.
The least distance of the point A(10, 7) from the circle $x^2 + y^2 - 4x - 2y - 20 = 0$ is length of seg AM. If MM' is the diameter of the circle, then the lengths of AM and AM' are respectively , units.

5.
The circumcenter of the triangle formed by lines $xy + 2x + 2y + 4 = 0$ and $x + y + 2 = 0$ is ______.

6.
The equation of the circle concentric with circle \(x^2+y^2-6x+7 = 0\) and which touches the line \(x+y+3 = 0\) is ....

7.
The locus of point of intersection of the tangents to the circle \( x^2 + y^2 = 16 \), such that the angle between them is 60°, is

8.
The line \(y = mx + 3\) is tangent to the parabola \(y^2 = 4x\), if the value of m is

9.
The area of smaller part between the circle $x^2 + y^2 = 4$ and the line $x = 1$ is ______ sq. units.

10.
If $f(x) = \frac{(27-2x)^{\frac{1}{3}} - 3}{9 - 3(243+5x)^{\frac{1}{5}}}, x \ne 0$ is continuous at $x = 0$, then the value of $f(0)$ is

11.
If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

12.
If a circle with center \((-1,1)\) touches the line \(x+2y+4 = 0\), then the co-ordinates of the point of contact are

13.
\(\cot^{-1} (2 \cos(2 \text{cosec}^{-1}(\sqrt{2}))) = \dots\)

14.
If a circle with centre at $(-1, 1)$ touches the line $x + 2y + 4 = 0$, then the coordinates of the point of contact are \dots

15.
If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

Comments

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Circle PYQ Statistics (2022-2026)

MHT CET Circle Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Circle PYQs

How to Use the Circle PYQ PDF for MHT CET

Video: Circle PYQs and MCQs

Circle PYQ for MHT CET Mathematics FAQs

1.The centre and radius of the circle \((a+1)x^2+3y^2-6x+9y+a+4 = 0\) are respectively ...

2.If the equation \(3x^2+(3-p)xy+qy^2-2px = 8pq\) represents a circle, then the area (in sq. units) of this circle is

3.Two tangents to $x^{2}+y^{2}=4$ at A and B meet at $P(-4,0).$ Area of quadrilateral PAOB is}

4.The least distance of the point A(10, 7) from the circle $x^2 + y^2 - 4x - 2y - 20 = 0$ is length of seg AM. If MM' is the diameter of the circle, then the lengths of AM and AM' are respectively ______, ______ units.

5.The circumcenter of the triangle formed by lines $xy + 2x + 2y + 4 = 0$ and $x + y + 2 = 0$ is ______.

6.The equation of the circle concentric with circle \(x^2+y^2-6x+7 = 0\) and which touches the line \(x+y+3 = 0\) is ....

7.The locus of point of intersection of the tangents to the circle \( x^2 + y^2 = 16 \), such that the angle between them is 60°, is

8.The line \(y = mx + 3\) is tangent to the parabola \(y^2 = 4x\), if the value of m is

9.The area of smaller part between the circle $x^2 + y^2 = 4$ and the line $x = 1$ is ______ sq. units.

10.If $f(x) = \frac{(27-2x)^{\frac{1}{3}} - 3}{9 - 3(243+5x)^{\frac{1}{5}}}, x \ne 0$ is continuous at $x = 0$, then the value of $f(0)$ is

11.If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

12.If a circle with center \((-1,1)\) touches the line \(x+2y+4 = 0\), then the co-ordinates of the point of contact are

13.\(\cot^{-1} (2 \cos(2 \text{cosec}^{-1}(\sqrt{2}))) = \dots\)

14.If a circle with centre at $(-1, 1)$ touches the line $x + 2y + 4 = 0$, then the coordinates of the point of contact are \dots

15.If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The centre and radius of the circle \((a+1)x^2+3y^2-6x+9y+a+4 = 0\) are respectively ...

2.
If the equation \(3x^2+(3-p)xy+qy^2-2px = 8pq\) represents a circle, then the area (in sq. units) of this circle is

3.
Two tangents to $x^{2}+y^{2}=4$ at A and B meet at $P(-4,0).$ Area of quadrilateral PAOB is}

4.
The least distance of the point A(10, 7) from the circle $x^2 + y^2 - 4x - 2y - 20 = 0$ is length of seg AM. If MM' is the diameter of the circle, then the lengths of AM and AM' are respectively , units.

5.
The circumcenter of the triangle formed by lines $xy + 2x + 2y + 4 = 0$ and $x + y + 2 = 0$ is ______.

6.
The equation of the circle concentric with circle \(x^2+y^2-6x+7 = 0\) and which touches the line \(x+y+3 = 0\) is ....

7.
The locus of point of intersection of the tangents to the circle \( x^2 + y^2 = 16 \), such that the angle between them is 60°, is

8.
The line \(y = mx + 3\) is tangent to the parabola \(y^2 = 4x\), if the value of m is

9.
The area of smaller part between the circle $x^2 + y^2 = 4$ and the line $x = 1$ is ______ sq. units.

10.
If $f(x) = \frac{(27-2x)^{\frac{1}{3}} - 3}{9 - 3(243+5x)^{\frac{1}{5}}}, x \ne 0$ is continuous at $x = 0$, then the value of $f(0)$ is

11.
If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}

12.
If a circle with center \((-1,1)\) touches the line \(x+2y+4 = 0\), then the co-ordinates of the point of contact are

13.
\(\cot^{-1} (2 \cos(2 \text{cosec}^{-1}(\sqrt{2}))) = \dots\)

14.
If a circle with centre at $(-1, 1)$ touches the line $x + 2y + 4 = 0$, then the coordinates of the point of contact are \dots

15.
If the tangent at $(1, 7)$ to the curve $x^2 = y - 6$ touches the circle $x^2 + y^2 + 16x + 12y + \text{C} = 0$, then C =}