MHT CET PYQs for Straight lines with Solutions: Practice MHT CET Previous Year Questions

Straight Line 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 Straight Line PYQs are:

Equation of a line in its various forms
Angle between two lines
Family of lines and lines through a fixed point
Distance of a point from a line
Centres of a triangle and its area

Practising Straight Line 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 3 marks per paper by covering Straight Line. The chapter recorded 110 questions across the 80 shifts in the data, and 42 of them came in the 2025 and 2026 papers, which is about 1 of the 50 Mathematics questions in a typical shift.

MHT CET Straight Line Chapter: Question Count, Marks and Weightage:

What it shows	Number
Questions in the PDF (2017-2026)	110
Questions in the 2025 and 2026 papers (33 shifts)	42
Questions in the 2018 to 2026 papers (80 shifts)	109
Typical number of Mathematics questions from this topic in one shift	About 1 out of 50
Marks for each question	2

The PDF holds 110 questions from MHT CET 2026 to 2017, newest first, each with its exam date and shift. Options are as printed and answer keys are not included.

Straight Line PYQ Statistics (2022-2026)

The table below shows the number of questions asked in MHT CET Straight Line 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	17	16	About 1 out of 50
2025	25	17	About 1 out of 50
2024	23	18	About 1 out of 50
2023	17	12	About 1 out of 50
2022	1	1	About 1 out of 50

The 2018 to 2021 papers in the PDF add 26 more questions: 2021 had 14, 2020 had 5, 2019 had 6, 2018 had 1; the papers before 2018 add 1 from 2017.

MHT CET Straight Line Important Questions: Topic-Wise Breakdown

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

Topic	Questions in the PDF	Share of the PDF
Various Forms Of Straight Line	21	19%
Angle Between Two Lines	13	12%
Family Of Straight Line	10	9%
Distance Of A Point From A Line	8	7%
Centers Of Triangle	5	5%
Area Of Triangle And Condition Of Collinearity	5	5%
Locus	2	2%
Incentre of triangle	2	2%
Other topics tagged in the PDF	44	40%

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 Straight Line PYQs

Every question in this PDF is a single-correct MCQ. Most ask for the equation of a line that satisfies given conditions, or for a distance, a point or an area.

Question Style	What it Tests
Equation of a line	The equation of a line whose perpendicular distance from the origin is 4 units, and the equation of a line through a point and perpendicular to two given lines
Intercepts	The number of lines through the point (3, 4) such that the sum of the non-zero intercepts is zero
Foot of a perpendicular	The co-ordinates of the foot of the perpendicular drawn from a point on a line
Triangle and quadrilateral	The equation of a line when the area of a triangle is 12 square units, and the type of a quadrilateral whose diagonals lie along given lines
Angle bisectors	The equation of a line through the point (−3, 1) that bisects the angle between the co-ordinate axes

How to Use the Straight Line PYQ PDF for MHT CET

Start with the 2025 and 2026 papers first, because they hold 42 of the 110 questions.
Learn the slope-intercept, point-slope, two-point, intercept and normal forms, and choose the one that matches the data given.
For a perpendicular line, multiply the slopes and set the product equal to −1.
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: Straight Line PYQs and MCQs

Source: MV Tutorials

Straight Line PYQ for MHT CET Mathematics FAQs

Ques. How many questions come from Straight Line every year?

Ans. In this PDF, the questions are 17 from 2026, 25 from 2025, 23 from 2024, 17 from 2023 and 1 from 2022 and the rest from earlier papers. In 2025 and 2026 together the chapter had 42 questions across 33 shifts, which is about 1 in a typical shift.

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

Ans. Various Forms Of Straight Line is the largest topic tag in the PDF with 21 of the 110 questions, about 19%.

Ques. What kind of questions are asked from Straight Line?

Ans. Single-correct MCQs. Common ones ask for the equation of a line under given conditions, a point or a foot of a perpendicular, or a distance or an area.

Ques. What is the best way to practise Straight Line 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 Straight Line?

Ans. In 2025 and 2026 together the chapter had 42 questions across 33 shifts. Learning the forms of the equation of a line and the distance formulas is enough to secure it. Each Mathematics question in MHT CET is worth 2 marks.

Ques. Does the Straight Line 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 Straight lines with Solutions: Practice MHT CET Previous Year Questions

Straight Line PYQ Statistics (2022-2026)

MHT CET Straight Line Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Straight Line PYQs

How to Use the Straight Line PYQ PDF for MHT CET

Video: Straight Line PYQs and MCQs

Straight Line PYQ for MHT CET Mathematics FAQs

1.
A straight line L passes through the point of intersection of the lines \(x-y+1 = 0\) and \(2x+y-7 = 0\). If L intersects the positive x-axis at \(A(a,0)\) and the positive y-axis at \(B(0,b)\), then the minimum area of the triangle \(OAB\) (where \(O\) is the origin) is ....

2.
The coordinates of the orthocenter of the triangle whose sides are represented by the lines \(4x-7y+10 = 0\), \(x+y = 5\) and \(7x+4y = 15\) are \(\ldots\)

3.
Two lines are given by \(x^2-4xy+4y^2+kx-2ky = 0\), then the value of k so that the distance between them is 3 is

4.
The negation of \((p∧q)\rightarrow ((p∨r)\rightarrow \,\sim q)\) is equivalent to ...

5.
If two lines represented by \(x^2-(1+\sqrt{3})xy+\sqrt{3}y^2 = 0\) make angles \(α\) and \(β\) with the X-axis, then \(tan(α+β)\) is...

6.
If the angle made by the lines represented by the equation \(ax^2+2hxy+by^2 = 0\) with X-axis are \(α\) and \(β\), then \(tan(α+β)\) is

7.
Which of the following statements is/are False?
\(S_1:\exists \,n\in N\), such that \(n^2+n+2\) is divisible by 4.
\(S_2:\exists \,x\in N\), such that \(x-17 < 20\).
\(S_3:\forall \,n\in N,\,x^2+3x-10 = 0\).
\(S_4:\forall \,n\in N,\,n^2\geq 1\).

8.
The line \(L_1\) given by \(\frac{x}{p}+\frac{y}{2} = 1\) passes through the point \((5,0)\). The line \(L_2\) given by \(\frac{x}{10}+\frac{y}{q} = 1\) is parallel to \(L_1\). Then the distance between the lines \(L_1\) and \(L_2\) is...

9.
The family of straight lines \(4ax+3by+c = 0\) such that \(a+b+c = 0\) (where a, b, c are real constants) are concurrent at the point...

10.
A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......

11.
If the combined equation of angle bisectors of the lines \(x^2-2pxy-y^2 = 0\) is \(x^2-2qxy-y^2 = 0\), then which of the following is true?

12.
If \(A(2,-3)\) and \(C(-6,7)\) are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

13.
If the equation \(16x^2-24xy+9y^2-8x+6y-35 = 0\) represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is..........

14.
The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by \(x^2-6xy+5y^2+10x-14y+9 = 0\) is \(\ldots\)

15.
The area of a triangle formed by a line with the coordinate axes is \(49\) sq. units. If the perpendicular drawn from the origin to this line makes an angle of \(45^{\circ}\) with the positive X-axis, then the equation of line is....

Comments

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Straight Line PYQ Statistics (2022-2026)

MHT CET Straight Line Important Questions: Topic-Wise Breakdown

Pair PYQs with Other Study Material for MHT CET 2027

Question Style in MHT CET Straight Line PYQs

How to Use the Straight Line PYQ PDF for MHT CET

Video: Straight Line PYQs and MCQs

Straight Line PYQ for MHT CET Mathematics FAQs

1.A straight line L passes through the point of intersection of the lines \(x-y+1 = 0\) and \(2x+y-7 = 0\). If L intersects the positive x-axis at \(A(a,0)\) and the positive y-axis at \(B(0,b)\), then the minimum area of the triangle \(OAB\) (where \(O\) is the origin) is ....

2.The coordinates of the orthocenter of the triangle whose sides are represented by the lines \(4x-7y+10 = 0\), \(x+y = 5\) and \(7x+4y = 15\) are \(\ldots\)

3.Two lines are given by \(x^2-4xy+4y^2+kx-2ky = 0\), then the value of k so that the distance between them is 3 is

4.The negation of \((p∧q)\rightarrow ((p∨r)\rightarrow \,\sim q)\) is equivalent to ...

5.If two lines represented by \(x^2-(1+\sqrt{3})xy+\sqrt{3}y^2 = 0\) make angles \(α\) and \(β\) with the X-axis, then \(tan(α+β)\) is...

6.If the angle made by the lines represented by the equation \(ax^2+2hxy+by^2 = 0\) with X-axis are \(α\) and \(β\), then \(tan(α+β)\) is

7.Which of the following statements is/are False?\(S_1:\exists \,n\in N\), such that \(n^2+n+2\) is divisible by 4.\(S_2:\exists \,x\in N\), such that \(x-17 < 20\).\(S_3:\forall \,n\in N,\,x^2+3x-10 = 0\).\(S_4:\forall \,n\in N,\,n^2\geq 1\).

8.The line \(L_1\) given by \(\frac{x}{p}+\frac{y}{2} = 1\) passes through the point \((5,0)\). The line \(L_2\) given by \(\frac{x}{10}+\frac{y}{q} = 1\) is parallel to \(L_1\). Then the distance between the lines \(L_1\) and \(L_2\) is...

9.The family of straight lines \(4ax+3by+c = 0\) such that \(a+b+c = 0\) (where a, b, c are real constants) are concurrent at the point...

10.A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......

11.If the combined equation of angle bisectors of the lines \(x^2-2pxy-y^2 = 0\) is \(x^2-2qxy-y^2 = 0\), then which of the following is true?

12.If \(A(2,-3)\) and \(C(-6,7)\) are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

13.If the equation \(16x^2-24xy+9y^2-8x+6y-35 = 0\) represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is..........

14.The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by \(x^2-6xy+5y^2+10x-14y+9 = 0\) is \(\ldots\)

15.The area of a triangle formed by a line with the coordinate axes is \(49\) sq. units. If the perpendicular drawn from the origin to this line makes an angle of \(45^{\circ}\) with the positive X-axis, then the equation of line is....

Comments

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1.
A straight line L passes through the point of intersection of the lines \(x-y+1 = 0\) and \(2x+y-7 = 0\). If L intersects the positive x-axis at \(A(a,0)\) and the positive y-axis at \(B(0,b)\), then the minimum area of the triangle \(OAB\) (where \(O\) is the origin) is ....

2.
The coordinates of the orthocenter of the triangle whose sides are represented by the lines \(4x-7y+10 = 0\), \(x+y = 5\) and \(7x+4y = 15\) are \(\ldots\)

3.
Two lines are given by \(x^2-4xy+4y^2+kx-2ky = 0\), then the value of k so that the distance between them is 3 is

4.
The negation of \((p∧q)\rightarrow ((p∨r)\rightarrow \,\sim q)\) is equivalent to ...

5.
If two lines represented by \(x^2-(1+\sqrt{3})xy+\sqrt{3}y^2 = 0\) make angles \(α\) and \(β\) with the X-axis, then \(tan(α+β)\) is...

6.
If the angle made by the lines represented by the equation \(ax^2+2hxy+by^2 = 0\) with X-axis are \(α\) and \(β\), then \(tan(α+β)\) is

7.
Which of the following statements is/are False?
\(S_1:\exists \,n\in N\), such that \(n^2+n+2\) is divisible by 4.
\(S_2:\exists \,x\in N\), such that \(x-17 < 20\).
\(S_3:\forall \,n\in N,\,x^2+3x-10 = 0\).
\(S_4:\forall \,n\in N,\,n^2\geq 1\).

8.
The line \(L_1\) given by \(\frac{x}{p}+\frac{y}{2} = 1\) passes through the point \((5,0)\). The line \(L_2\) given by \(\frac{x}{10}+\frac{y}{q} = 1\) is parallel to \(L_1\). Then the distance between the lines \(L_1\) and \(L_2\) is...

9.
The family of straight lines \(4ax+3by+c = 0\) such that \(a+b+c = 0\) (where a, b, c are real constants) are concurrent at the point...

10.
A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units, then the equation of the line is ......

11.
If the combined equation of angle bisectors of the lines \(x^2-2pxy-y^2 = 0\) is \(x^2-2qxy-y^2 = 0\), then which of the following is true?

12.
If \(A(2,-3)\) and \(C(-6,7)\) are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is

13.
If the equation \(16x^2-24xy+9y^2-8x+6y-35 = 0\) represents a pair of straight lines, then the equation of the locus of points equidistant from these two lines is..........

14.
The combined equation of lines parallel to the coordinate axes and passing through the point of intersection of lines represented by \(x^2-6xy+5y^2+10x-14y+9 = 0\) is \(\ldots\)

15.
The area of a triangle formed by a line with the coordinate axes is \(49\) sq. units. If the perpendicular drawn from the origin to this line makes an angle of \(45^{\circ}\) with the positive X-axis, then the equation of line is....