MHT CET PYQs for Quadratic Equations with Solutions: Practice MHT CET Previous Year Questions

Quadratic Equations 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 Quadratic Equations PYQs are:

Relation between the roots and the coefficients
Sum of squares of the roots
Range of a quadratic expression
Forming an equation from the means of the roots

Practising Quadratic Equations 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 less than 1 mark per paper by covering Quadratic Equations. The chapter recorded 5 questions across the 80 shifts in the data, and 2 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 Quadratic Equations Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2020-2026)	5
Questions in the 2025 and 2026 papers (33 shifts)	2
Questions in the 2018 to 2026 papers (80 shifts)	5
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 5 questions from MHT CET 2026 to 2020, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Quadratic Equations PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Quadratic Equations 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	1	16	Fewer than 1 out of 50
2025	1	17	Fewer than 1 out of 50
2024	1	18	Fewer than 1 out of 50
2023	1	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 1 more questions: 2021 had none, 2020 had 1, 2019 had none, 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 Quadratic Equations PYQs

Every question in this PDF is a single-correct MCQ. Each one uses the sum and the product of the roots of a quadratic equation.

Question Style	What it Tests
Difference of the roots	The difference between the roots of a given equation
Least value	The value of a so that the sum of the squares of the roots has the least value
Roots of two equations	The value of an expression when the roots of one equation are related to the roots of another
Forming an equation	The quadratic equation whose roots have an arithmetic mean of 34 and a geometric mean of 16

How to Use the Quadratic Equations PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 2 of the 5 questions.
Write the sum α + β = −b/a and the product αβ = c/a first, and express the required quantity in them.
For the least value of an expression, complete the square or use the vertex of the parabola.
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: Quadratic Equations PYQs and MCQs

Source: Maths Cafe

Quadratic Equations PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Quadratic Equations every year?

Ans. In this PDF, the questions are 1 from 2026, 1 from 2025, 1 from 2024, 1 from 2023 and 1 from 2020. In 2025 and 2026 together the chapter had 2 questions across 33 shifts, which is fewer than 1 in a typical shift.

Ques. What kind of questions are asked from Quadratic Equations?

Ans. Single-correct MCQs. Common ones ask for an expression in the roots, a least value, or an equation with given roots.

Ques. What is the best way to practise Quadratic Equations 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 Quadratic Equations?

Ans. In 2025 and 2026 together the chapter had 2 questions across 33 shifts. Learning the relations between the roots and the coefficients is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

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

Quadratic Equations PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Quadratic Equations PYQs

How to Use the Quadratic Equations PYQ PDF for MHT CET

Video: Quadratic Equations PYQs and MCQs

Quadratic Equations PYQ for MHT CET Mathematics FAQs

1.
The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is

2.
Find the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \).

3.
The difference between the roots of the equation \(x^2+2x+4 = 0\) is \(\ldots\) (where \(i = \sqrt{-1}\))

4.
The equation \( (\cos p - 1)x^2 + (\cos p)x + \sin p = 0 \), where \( x \) is a variable with real roots. Then the interval of \( p \) may be any one of the following:

5.
If $\vec{a} = \hat{i} + 2 \hat{j} - 3 \hat{k}$ , $\vec{b} = 3 \hat{i} - \hat{j} + 2 \hat{k}$ then the angle between $\vec{a} + \vec{b}, \vec{a} - \vec{b}$ is:

6.
Consider the following statements:1. If $y = \ln (\sec x + \tan x)$ , then $\frac{d y}{d x} = \sec x$ .2. If $y = \ln (cosec x - \cot x)$ , then $\frac{d y}{d x} = cosec x$ .Which of the above is / are correct?

7.
If \(f(x) = \frac{x+2}{x^2-3x+1}\), then the values of \(x\) for which \(f(x)\) is not defined are

8.
The point which does not belong to the feasible region of the LPP:Minimize: $Z = 60 x + 10 y$ subject to $3 x + y \geq 18$ $2 x + 2 y \geq 12$ $x + 2 y \geq 10$ $x, y \geq 0$ is:

9.
Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.

10.
The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is

11.
Find the position vector of the midpoint of the vector joining the points $P (2, 3, 4)$ and $Q (4, 1, - 2)$ .

12.
If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:

13.
Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.

14.
If $\cos^{- 1} (\frac{p}{a}) + \cos^{- 1} (\frac{q}{b}) = α$ , then $\frac{p^{2}}{a^{2}} + k \cos α + \frac{q^{2}}{b^{2}} = \sin^{2} α$ where $k$ is equal to:

Comments

SUBSCRIBE TO OUR NEWS LETTER

Quadratic Equations PYQ Statistics (2022-2026)

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Quadratic Equations PYQs

How to Use the Quadratic Equations PYQ PDF for MHT CET

Video: Quadratic Equations PYQs and MCQs

Quadratic Equations PYQ for MHT CET Mathematics FAQs

1.The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is

2.Find the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \).

3.The difference between the roots of the equation \(x^2+2x+4 = 0\) is \(\ldots\) (where \(i = \sqrt{-1}\))

4.The equation \( (\cos p - 1)x^2 + (\cos p)x + \sin p = 0 \), where \( x \) is a variable with real roots. Then the interval of \( p \) may be any one of the following:

5.If a→=i^+2j^−3k^, b→=3i^−j^+2k^ then the angle between a→+b→,a→−b→ is:

6.Consider the following statements:1. If y=ln⁡(sec⁡x+tan⁡x), then dydx=sec⁡x.2. If y=ln⁡(cosecx−cot⁡x), then dydx=cosecx.Which of the above is / are correct?

7.If \(f(x) = \frac{x+2}{x^2-3x+1}\), then the values of \(x\) for which \(f(x)\) is not defined are

8.The point which does not belong to the feasible region of the LPP:Minimize: Z=60x+10ysubject to 3x+y≥182x+2y≥12x+2y≥10x,y≥0 is:

9.Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.

10.The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is

11.Find the position vector of the midpoint of the vector joining the points P(2,3,4) and Q(4,1,−2).

12.If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:

13.Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.

14.If cos−1⁡(pa)+cos−1⁡(qb)=α, then p2a2+kcos⁡α+q2b2=sin2⁡α where k is equal to:

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is

2.
Find the roots of the quadratic equation \( x^2 - 5x + 6 = 0 \).

3.
The difference between the roots of the equation \(x^2+2x+4 = 0\) is \(\ldots\) (where \(i = \sqrt{-1}\))

4.
The equation \( (\cos p - 1)x^2 + (\cos p)x + \sin p = 0 \), where \( x \) is a variable with real roots. Then the interval of \( p \) may be any one of the following:

5.
If $\vec{a} = \hat{i} + 2 \hat{j} - 3 \hat{k}$ , $\vec{b} = 3 \hat{i} - \hat{j} + 2 \hat{k}$ then the angle between $\vec{a} + \vec{b}, \vec{a} - \vec{b}$ is:

6.
Consider the following statements:1. If $y = \ln (\sec x + \tan x)$ , then $\frac{d y}{d x} = \sec x$ .2. If $y = \ln (cosec x - \cot x)$ , then $\frac{d y}{d x} = cosec x$ .Which of the above is / are correct?

7.
If \(f(x) = \frac{x+2}{x^2-3x+1}\), then the values of \(x\) for which \(f(x)\) is not defined are

8.
The point which does not belong to the feasible region of the LPP:Minimize: $Z = 60 x + 10 y$ subject to $3 x + y \geq 18$ $2 x + 2 y \geq 12$ $x + 2 y \geq 10$ $x, y \geq 0$ is:

9.
Find the roots of the quadratic equation $ x^2 - 5x + 6 = 0 $.

10.
The value of 'a' so that the sum of squares of the roots of the equation $x^2 - (a - 2)x - a + 1 = 0$ assumes the least value is

11.
Find the position vector of the midpoint of the vector joining the points $P (2, 3, 4)$ and $Q (4, 1, - 2)$ .

12.
If the roots of the quadratic equation \( x^2 - 7x + 12 = 0 \) are \( \alpha \) and \( \beta \), then the value of \( \alpha + \beta \) is:

13.
Find the sum of the roots of the quadratic equation $ 2x^2 - 5x + 3 = 0 $.

14.
If $\cos^{- 1} (\frac{p}{a}) + \cos^{- 1} (\frac{q}{b}) = α$ , then $\frac{p^{2}}{a^{2}} + k \cos α + \frac{q^{2}}{b^{2}} = \sin^{2} α$ where $k$ is equal to: