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

Ellipse 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 Ellipse PYQs are:

Eccentricity of an ellipse
Equation of an ellipse from its properties
Tangents to an ellipse
Eccentric angle
Area inscribed in an ellipse

Practising Ellipse 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 1 mark per paper by covering Ellipse. The chapter recorded 14 questions across the 80 shifts in the data, and 11 of them came in the 2025 and 2026 papers, which is fewer than 1 of the 50 Mathematics questions in a typical shift.

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

What it shows	Number
Questions in the PDF (2019-2026)	14
Questions in the 2025 and 2026 papers (33 shifts)	11
Questions in the 2018 to 2026 papers (80 shifts)	14
Typical number of Mathematics questions from this topic in one shift	Fewer than 1 out of 50
Marks for each question	2

The PDF holds 14 questions from MHT CET 2026 to 2019, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Ellipse PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Ellipse 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	5	16	Fewer than 1 out of 50
2025	6	17	Fewer than 1 out of 50
2024	0	18	Fewer than 1 out of 50
2023	0	12	Fewer than 1 out of 50
2022	0	1	Fewer than 1 out of 50

The 2018 to 2021 papers in the PDF add 3 more questions: 2021 had 1, 2020 had 1, 2019 had 1, 2018 had none.

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 Ellipse PYQs

Every question in this PDF is a single-correct MCQ. Most ask for the eccentricity or for a property of an ellipse given its equation.

Question Style	What it Tests
Eccentricity	The eccentricity of the ellipse represented by a given equation, and the eccentricity when an angle SBS′ at an end of the minor axis is a right angle
Equation of an ellipse	The equation of the ellipse when the length of the latus rectum and the eccentricity are given
Tangents	The equations of the tangents that make a given inclination with the major axis
Eccentric angle	The eccentric angle of a point of the ellipse
Maximum area	The dimensions of the rectangle of maximum area that is inscribed in an ellipse

How to Use the Ellipse PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 11 of the 14 questions.
Learn the formulas for the eccentricity, the foci and the latus rectum of x²/a² + y²/b² = 1.
Use the parametric form (a cos θ, b sin θ) for questions on the eccentric angle.
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: Ellipse PYQs and MCQs

Source: Unacademy MHTCET

Ellipse PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Ellipse every year?

Ans. In this PDF, the questions are 5 from 2026, 6 from 2025, 1 from 2021, 1 from 2020 and 1 from 2019. In 2025 and 2026 together the chapter had 11 questions across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Ellipse?

Ans. Single-correct MCQs. Common ones ask for the eccentricity of an ellipse, its equation, or the equation of a tangent.

Ques. What is the best way to practise Ellipse 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 Ellipse?

Ans. In 2025 and 2026 together the chapter had 11 questions across 33 shifts. Learning the standard equation, the eccentricity formula and the tangent condition is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Ellipse 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 Ellipse with Solutions: Practice MHT CET Previous Year Questions

Ellipse PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Ellipse PYQs

How to Use the Ellipse PYQ PDF for MHT CET

Video: Ellipse PYQs and MCQs

Ellipse PYQ for MHT CET Mathematics FAQs

1.
Let the random variables $X$ follow $B (6, p)$ If $16 P (X = 4) = P (X = 2)$ , then what is the value of $p$ :

2.
The tangent to the ellipse $9x^{2}+16y^{2}=288$ making equal intercepts on the coordinate axes intersects the X-axis and the Y-axis in the points A and B respectively. Then $A(\triangle OAB)=$ (where O is origin)}

3.
The eccentricity of the ellipse $9x^2 + 5y^2 - 30y = 0$ is

4.
The eccentricity of the ellipse $9x^2 + 5y^2 - 30y = 0$ is

5.
If \(P\) be any point on the ellipse \(16x^2+25y^2 = 400\) with foci \(S\) and \(S^'\) and area of \(△PSS^'\) is 9 square units, then the abscissa of point \(P\) is...........

6.
The equations of the tangents to the ellipse \(\frac{x^2}{16}+\frac{y^2}{9} = 1\) making an inclination of \(30^{\circ}\) with the major axis are

7.
If \(θ\) is the eccentric angle of a point on the ellipse \(\frac{x^2}{25}+\frac{y^2}{9} = 1\) such that the distance of the point from the center is \(5\), then \(θ =\).......

8.
A tangent having slope \(-\frac{1}{2}\) to the ellipse \(3x^2+4y^2 = 12\) intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area of \(△AOB\) is ...

9.
The eccentricity of the ellipse represented by the equation \(7x^2+16y^2-14x+64y-377 = 0\) is...

10.
If the eccentricity of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1,(a > b)\) is \(\frac{2}{3}\) and its focal chord is \(3x+2y-6 = 0\), then the value of \(a^2+b^2\) is...

11.
Find the value $f^{'} (x)$ , if $f (x) = \sin^{- 1} (1 - x^{2})$

12.
A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

13.
A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

14.
The ellipse \(4x^2+9y^2 = 1\) intersects positive Y-axis at point A. If S and S' are its foci, then the area (in sq. units) of \(\Delta SAS^'\) is _____

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Ellipse PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Ellipse PYQs

How to Use the Ellipse PYQ PDF for MHT CET

Video: Ellipse PYQs and MCQs

Ellipse PYQ for MHT CET Mathematics FAQs

1.Let the random variables X follow B(6,p) If 16P(X=4)=P(X=2), then what is the value of p:

2.The tangent to the ellipse $9x^{2}+16y^{2}=288$ making equal intercepts on the coordinate axes intersects the X-axis and the Y-axis in the points A and B respectively. Then $A(\triangle OAB)=$ (where O is origin)}

3.The eccentricity of the ellipse $9x^2 + 5y^2 - 30y = 0$ is

4.The eccentricity of the ellipse $9x^2 + 5y^2 - 30y = 0$ is

5.If \(P\) be any point on the ellipse \(16x^2+25y^2 = 400\) with foci \(S\) and \(S^'\) and area of \(△PSS^'\) is 9 square units, then the abscissa of point \(P\) is...........

6.The equations of the tangents to the ellipse \(\frac{x^2}{16}+\frac{y^2}{9} = 1\) making an inclination of \(30^{\circ}\) with the major axis are

7.If \(θ\) is the eccentric angle of a point on the ellipse \(\frac{x^2}{25}+\frac{y^2}{9} = 1\) such that the distance of the point from the center is \(5\), then \(θ =\).......

8.A tangent having slope \(-\frac{1}{2}\) to the ellipse \(3x^2+4y^2 = 12\) intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area of \(△AOB\) is ...

9.The eccentricity of the ellipse represented by the equation \(7x^2+16y^2-14x+64y-377 = 0\) is...

10.If the eccentricity of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1,(a > b)\) is \(\frac{2}{3}\) and its focal chord is \(3x+2y-6 = 0\), then the value of \(a^2+b^2\) is...

11.Find the value f′(x), if f(x)=sin−1⁡(1−x2)

12.A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

13.A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

14.The ellipse \(4x^2+9y^2 = 1\) intersects positive Y-axis at point A. If S and S' are its foci, then the area (in sq. units) of \(\Delta SAS^'\) is _____

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SUBSCRIBE TO OUR NEWS LETTER

1.
Let the random variables $X$ follow $B (6, p)$ If $16 P (X = 4) = P (X = 2)$ , then what is the value of $p$ :

2.
The tangent to the ellipse $9x^{2}+16y^{2}=288$ making equal intercepts on the coordinate axes intersects the X-axis and the Y-axis in the points A and B respectively. Then $A(\triangle OAB)=$ (where O is origin)}

3.
The eccentricity of the ellipse $9x^2 + 5y^2 - 30y = 0$ is

4.
The eccentricity of the ellipse $9x^2 + 5y^2 - 30y = 0$ is

5.
If \(P\) be any point on the ellipse \(16x^2+25y^2 = 400\) with foci \(S\) and \(S^'\) and area of \(△PSS^'\) is 9 square units, then the abscissa of point \(P\) is...........

6.
The equations of the tangents to the ellipse \(\frac{x^2}{16}+\frac{y^2}{9} = 1\) making an inclination of \(30^{\circ}\) with the major axis are

7.
If \(θ\) is the eccentric angle of a point on the ellipse \(\frac{x^2}{25}+\frac{y^2}{9} = 1\) such that the distance of the point from the center is \(5\), then \(θ =\).......

8.
A tangent having slope \(-\frac{1}{2}\) to the ellipse \(3x^2+4y^2 = 12\) intersects the X-axis and Y-axis at the points A and B respectively. if O is the origin, then the area of \(△AOB\) is ...

9.
The eccentricity of the ellipse represented by the equation \(7x^2+16y^2-14x+64y-377 = 0\) is...

10.
If the eccentricity of the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2} = 1,(a > b)\) is \(\frac{2}{3}\) and its focal chord is \(3x+2y-6 = 0\), then the value of \(a^2+b^2\) is...

11.
Find the value $f^{'} (x)$ , if $f (x) = \sin^{- 1} (1 - x^{2})$

12.
A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

13.
A normal is drawn at a point $P(x, y)$ of a curve $y = f(x)$. The normal meets the $X$ axis at $Q$. $l(PQ) = k \cdot$ (k is a constant) Then equation of the curve through $(0, k)$ is

14.
The ellipse \(4x^2+9y^2 = 1\) intersects positive Y-axis at point A. If S and S' are its foci, then the area (in sq. units) of \(\Delta SAS^'\) is _____