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Previous year question hub

Straight Lines And Pair Of Straight Lines - Coordinate Geometry - Mathematics Previous Year Questions

Practice Straight Lines And Pair Of Straight Lines - Coordinate Geometry - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

76Papers
8Years
177Questions
1Topics

Straight Lines And Pair Of Straight Lines question pattern

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Questions by year

Year-wise coverage for Straight Lines And Pair Of Straight Lines. Each bar uses a separate theme-derived color.

Difficulty distribution

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Not classified 177 100%

Question type distribution

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

Multiple Choices 177 100%

Subject weightage

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Mathematics
177 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
177 Qs

Subtopic coverage

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Straight Lines And Pair Of Straight Lines
177 Qs

Paper coverage

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

MHT CET 2026 11th April Evening Shift
3 Qs
MHT CET 2026 13th April Evening Shift
3 Qs
MHT CET 2026 15th April Morning Shift
3 Qs
MHT CET 2026 16th April Evening Shift
3 Qs
MHT CET 2026 16th April Morning Shift
3 Qs
MHT CET 2026 17th April Morning Shift
3 Qs
MHT CET 2026 11th April Morning Shift
2 Qs
MHT CET 2026 13th April Morning Shift
2 Qs
MHT CET 2026 15th April Evening Shift
2 Qs
MHT CET 2026 17th April Evening Shift
2 Qs
MHT CET 2026 18th April Evening Shift
2 Qs
MHT CET 2026 18th April Morning Shift
2 Qs
MHT CET 2026 19th April Evening Shift
2 Qs
MHT CET 2026 19th April Morning Shift
2 Qs
MHT CET 2026 20th April Evening Shift
2 Qs
MHT CET 2026 20th April Morning Shift
2 Qs
MHT CET 2025 21ST APRIL EVENING SHIFT
3 Qs
MHT CET 2025 19TH APRIL EVENING SHIFT
2 Qs
MHT CET 2025 19TH APRIL MORNING SHIFT
2 Qs
MHT CET 2025 20TH APRIL EVENING SHIFT
2 Qs
MHT CET 2025 20TH APRIL MORNING SHIFT
2 Qs
MHT CET 2025 21ST APRIL MORNING SHIFT
2 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
2 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
2 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
2 Qs
MHT CET 2025 25TH APRIL MORNING SHIFT
2 Qs
MHT CET 2025 26TH APRIL EVENING SHIFT
2 Qs
MHT CET 2025 26TH APRIL MORNING SHIFT
2 Qs
MHT CET 2025 5TH MAY EVENING SHIFT
2 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
1 Qs
MHT CET 2025 23RD APRIL EVENING SHIFT
1 Qs
MHT CET 2024 11TH MAY MORNING SHIFT
3 Qs
MHT CET 2024 4TH MAY EVENING SHIFT
3 Qs
MHT CET 2024 10TH MAY EVENING SHIFT
2 Qs
MHT CET 2024 10TH MAY MORNING SHIFT
2 Qs
MHT CET 2024 11TH MAY EVENING SHIFT
2 Qs
MHT CET 2024 15TH MAY MORNING SHIFT
2 Qs
MHT CET 2024 16TH MAY EVENING SHIFT
2 Qs
MHT CET 2024 16TH MAY MORNING SHIFT
2 Qs
MHT CET 2024 2ND MAY EVENING SHIFT
2 Qs
MHT CET 2024 2ND MAY MORNING SHIFT
2 Qs
MHT CET 2024 3RD MAY EVENING SHIFT
2 Qs
MHT CET 2024 3RD MAY MORNING SHIFT
2 Qs
MHT CET 2024 4TH MAY MORNING SHIFT
2 Qs
MHT CET 2024 9TH MAY EVENING SHIFT
2 Qs
MHT CET 2024 9TH MAY MORNING SHIFT
2 Qs
MHT CET 2024 15TH MAY EVENING SHIFT
1 Qs
MHT CET 2023 13TH MAY MORNING SHIFT
3 Qs
MHT CET 2023 10TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 10TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 11TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 12TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 12TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 13TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 14TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 14TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 9TH MAY EVENING SHIFT
2 Qs
MHT CET 2023 9TH MAY MORNING SHIFT
2 Qs
MHT CET 2023 11TH MAY EVENING SHIFT
1 Qs
MHT CET 2022 11TH AUGUST EVENING SHIFT
2 Qs
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT
4 Qs
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT
4 Qs
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT
3 Qs
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2021 23th September Morning Shift
3 Qs
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT
3 Qs
MHT CET 2020 16TH OCTOBER MORNING SHIFT
3 Qs
MHT CET 2020 19TH OCTOBER EVENING SHIFT
3 Qs
MHT CET 2020 16TH OCTOBER EVENING SHIFT
2 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
4 Qs
MHT CET 2019 2ND MAY EVENING SHIFT
3 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
3 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 Shift20263View paper
MHT CET 2026 11th April Morning Shift20262View paper
MHT CET 2026 13th April Evening Shift20263View paper
MHT CET 2026 13th April Morning Shift20262View paper
MHT CET 2026 15th April Evening Shift20262View paper
MHT CET 2026 15th April Morning Shift20263View paper
MHT CET 2026 16th April Evening Shift20263View paper
MHT CET 2026 16th April Morning Shift20263View paper
MHT CET 2026 17th April Evening Shift20262View paper
MHT CET 2026 17th April Morning Shift20263View paper
MHT CET 2026 18th April Evening Shift20262View paper
MHT CET 2026 18th April Morning Shift20262View paper
MHT CET 2026 19th April Evening Shift20262View paper
MHT CET 2026 19th April Morning Shift20262View paper
MHT CET 2026 20th April Evening Shift20262View paper
MHT CET 2026 20th April Morning Shift20262View paper
MHT CET 2025 19TH APRIL EVENING SHIFT20252View paper
MHT CET 2025 19TH APRIL MORNING SHIFT20252View paper
MHT CET 2025 20TH APRIL EVENING SHIFT20252View paper
MHT CET 2025 20TH APRIL MORNING SHIFT20252View paper
MHT CET 2025 21ST APRIL EVENING SHIFT20253View paper
MHT CET 2025 21ST APRIL MORNING SHIFT20252View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20251View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20252View paper
MHT CET 2025 23RD APRIL EVENING SHIFT20251View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20252View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20252View paper
MHT CET 2025 25TH APRIL MORNING SHIFT20252View paper
MHT CET 2025 26TH APRIL EVENING SHIFT20252View paper
MHT CET 2025 26TH APRIL MORNING SHIFT20252View paper
MHT CET 2025 5TH MAY EVENING SHIFT20252View paper
MHT CET 2024 10TH MAY EVENING SHIFT20242View paper
MHT CET 2024 10TH MAY MORNING SHIFT20242View paper
MHT CET 2024 11TH MAY EVENING SHIFT20242View paper
MHT CET 2024 11TH MAY MORNING SHIFT20243View paper
MHT CET 2024 15TH MAY EVENING SHIFT20241View paper
MHT CET 2024 15TH MAY MORNING SHIFT20242View paper
MHT CET 2024 16TH MAY EVENING SHIFT20242View paper
MHT CET 2024 16TH MAY MORNING SHIFT20242View paper
MHT CET 2024 2ND MAY EVENING SHIFT20242View paper
MHT CET 2024 2ND MAY MORNING SHIFT20242View paper
MHT CET 2024 3RD MAY EVENING SHIFT20242View paper
MHT CET 2024 3RD MAY MORNING SHIFT20242View paper
MHT CET 2024 4TH MAY EVENING SHIFT20243View paper
MHT CET 2024 4TH MAY MORNING SHIFT20242View paper
MHT CET 2024 9TH MAY EVENING SHIFT20242View paper
MHT CET 2024 9TH MAY MORNING SHIFT20242View paper
MHT CET 2023 10TH MAY EVENING SHIFT20232View paper
MHT CET 2023 10TH MAY MORNING SHIFT20232View paper
MHT CET 2023 11TH MAY EVENING SHIFT20231View paper
MHT CET 2023 11TH MAY MORNING SHIFT20232View paper
MHT CET 2023 12TH MAY EVENING SHIFT20232View paper
MHT CET 2023 12TH MAY MORNING SHIFT20232View paper
MHT CET 2023 13TH MAY EVENING SHIFT20232View paper
MHT CET 2023 13TH MAY MORNING SHIFT20233View paper
MHT CET 2023 14TH MAY EVENING SHIFT20232View paper
MHT CET 2023 14TH MAY MORNING SHIFT20232View paper
MHT CET 2023 9TH MAY EVENING SHIFT20232View paper
MHT CET 2023 9TH MAY MORNING SHIFT20232View paper
MHT CET 2022 11TH AUGUST EVENING SHIFT20222View paper
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 20TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 21TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 21TH SEPTEMBER MORNING SHIFT20214View paper
MHT CET 2021 22TH SEPTEMBER EVENING SHIFT20213View paper
MHT CET 2021 22TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2021 23RD SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 23th September Morning Shift20213View paper
MHT CET 2021 24TH SEPTEMBER EVENING SHIFT20214View paper
MHT CET 2021 24TH SEPTEMBER MORNING SHIFT20213View paper
MHT CET 2020 16TH OCTOBER EVENING SHIFT20202View paper
MHT CET 2020 16TH OCTOBER MORNING SHIFT20203View paper
MHT CET 2020 19TH OCTOBER EVENING SHIFT20203View paper
MHT CET 2019 2ND MAY EVENING SHIFT20193View paper
MHT CET 2019 2ND MAY MORNING SHIFT20193View paper
MHT CET 2019 3RD MAY MORNING SHIFT20194View paper

All Straight Lines And Pair Of Straight Lines previous year questions

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

1
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 2ND MAY EVENING SHIFT

If lines represented by \(\left(1+\sin ^2 \theta\right) x^2+2 h x y+2 \sin \theta y^2=0, \theta \in[0,2 \pi]\) are perpendicular to each other then $\theta=$ ...........

A
$\frac{\pi}{2}$
B
$\pi$
C
$\frac{3 \pi}{2}$
D
$\frac{\pi}{6}$
Open complete paper
2
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 2ND MAY EVENING SHIFT

If $(-\sqrt{2}, \sqrt{2})$ are cartesian co-ordinates of the point, then its polar co-ordinates are .........

A
$\left(1, \frac{4 \pi}{3}\right)$
B
$\left(2, \frac{3 \pi}{4}\right)$
C
$\left(3, \frac{7 \pi}{4}\right)$
D
$\left(4, \frac{5 \pi}{4}\right)$
Open complete paper
3
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 2ND MAY EVENING SHIFT

The $y$-intercept of the line passing through $A(6,1)$ and perpendicular to the line $x-2 y=4$ is ...........

A
5
B
13
C
$-$2
D
26
Open complete paper
4
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 2ND MAY MORNING SHIFT

The joint equation of the lines passing through the origin and trisecting the first quadrant is

A
$\sqrt{3} x^2-4 x y+\sqrt{3} y^2=0$
B
$x^2+\sqrt{3} x y-y^2=0$
C
$3 x^2-y^2=0$
D
$x^2-\sqrt{3} x y-y^2=0$
Open complete paper
5
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 2ND MAY MORNING SHIFT
 

The joint equation of pair of straight lines passing through origin and having slopes $(1+\sqrt{2})$ and $\left(\frac{1}{1+\sqrt{2}}\right)$ is .......

A
$x^2-2 \sqrt{2} x y+y^2=0$
B
$x^2-2 \sqrt{2} x y-y^2=0$
C
$x^2+2 x y-y^2=0$
D
$x^2+2 x y+y^2=0$
Open complete paper
6
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 2ND MAY MORNING SHIFT

If $P(2,2), Q(-2,4)$ and $R(3,4)$ are the vertices of $\triangle P Q R$ then the equation of the median through vertex $R$ is ......

A
$x+3 y+9=0$
B
$x-3 y+9=0$
C
$x-3 y-9=0$
D
$x+3 y-9=0$
Open complete paper
7
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 3RD MAY MORNING SHIFT

The polar co-ordinates of $P$ are $\left(2, \frac{\pi}{6}\right)$. If $Q$ is the image of $P$ about the $X$-axis then the polar co-ordinates of $Q$ are.....̣...

A
$\left(2, \frac{5 \pi}{6}\right)$
B
$\left(2, \frac{\pi}{6}\right)$
C
$\left(2, \frac{\pi}{3}\right)$
D
$\left(2, \frac{11 \pi}{6}\right)$
Open complete paper
8
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 3RD MAY MORNING SHIFT

The joint equation of lines passing through origin and having slopes $(1+\sqrt{2})$ and $\frac{-1}{1+\sqrt{2}}$ is ..........

A
$x^2+2 x y-y^2=0$
B
$x^2-2 \sqrt{2} x y-y^2=0$
C
$x^2-2 \sqrt{2} x y+y^2=0$
D
$x^2+2 x y+y^2=0$
Open complete paper
9
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 3RD MAY MORNING SHIFT

The acute angle between lines $x-3=0$ and $x+y=19$ is.......

A
$60^{\circ}$
B
$30^{\circ}$
C
$90^{\circ}$
D
$45^{\circ}$
Open complete paper
10
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2019 3RD MAY MORNING SHIFT

If sum of the slopes of the lines given by $x^2-4 p x y+8 y^2=0$ is three times their product then $p=$ ...........

A
$\frac{3}{4}$
B
$\frac{1}{4}$
C
4
D
3
Open complete paper
11
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 16TH OCTOBER EVENING SHIFT

If the equation \(a x^2+2 h x y+b y^2+2 g x+2 f y=0\) has one line as the bisector of the angle between co-ordinate axes, then

A
\((a+b)^2=4\left(h^2+f^2\right)\)
B
\((a+b)^2=4\left(h^2+g^2+f^2\right)\)
C
\((a+b)^2=4 h^2\)
D
\((a+b)^2=4\left(h^2+g^2\right)\)
Open complete paper
12
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 16TH OCTOBER EVENING SHIFT

The straight lines represented by the equation \(9 x^2-12 x y+4 y^2=0\) are

A
coincident
B
perpendicular
C
intersect at \(60^{\circ}\)
D
parallel
Open complete paper
13
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If \((a,-2 a), a>0\) is the mid-point of a line segment intercepted between the co-ordinate axes, then the equation of the line is

A
\(x-2 y+4 a=0\)
B
\(2 x-y=4 a\)
C
\(x-2 y=5 a\)
D
\(2 x-y+4 a=0\)
Open complete paper
14
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If the angle between the lines given by the equation \(x^2-3 x y+\lambda y^2+3 x-5 y+2=0, \lambda \geq 0\), is \(\tan ^{-1}\left(\frac{1}{3}\right)\), then \(\lambda=\)

A
\(1, \frac{2}{5}\)
B
10
C
2
D
\(\frac{2}{3}, 40\)
Open complete paper
15
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 16TH OCTOBER MORNING SHIFT

If the equation \(k x y+5 x+3 y+2=0\) represents a pair of lines, then \(k=\)

A
\(\frac{15}{2}\)
B
15
C
\(0,-\frac{15}{2}\)
D
\(1, \frac{15}{2}\)
Open complete paper
16
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 19TH OCTOBER EVENING SHIFT

The equation of a line passing through the point $(7,-4)$ and perpendicular to the line passing through the points $(2,3)$ and $(1,-2)$ is

A
$x+5 y+13=0$
B
$x-2 y-15=0$
C
$x-5 y-13=0$
D
$x+2 y+1=0$
Open complete paper
17
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 19TH OCTOBER EVENING SHIFT

If the slopes of the lines given by the equation $a x^2+2 h x y+b y^2=0$ are in the ratio $5: 3$, then the ratio $h^2: a b=$

A
$3: 5$
B
$16: 15$
C
$5: 3$
D
$15: 16$
Open complete paper
18
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2020 19TH OCTOBER EVENING SHIFT

If the equation $3 x^2+10 x y+3 y^2+16 y+k=0$ represents a pair of lines, then the value of kis

A
$-$21
B
12
C
$-$12
D
21
Open complete paper
19
2021 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

The joint equation of pair of lines through the origin and making an equilateral triangle with the line \(y=3\) is

A
\(x^2+3 y^2=0\)
B
\(3 x^2-y^2=0\)
C
\(x^2-3 y^2=0\)
D
\(3 x^2+y^2=0\)
Open complete paper
20
2021 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
MHT CET 2021 20TH SEPTEMBER EVENING SHIFT

If the equation \(3x^2-kxy-3y^2=0\) represents the bisectors of angles between the lines \(x^2-3xy-4y^2=0\), then value of k is

A
\(-6\)
B
\(-10\)
C
6
D
10
Open complete paper

Showing 20 of 177 questions