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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.

17Papers
15Years
65Questions
1Topics

Straight Lines And Pair Of Straight Lines question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 66 100%

Question type distribution

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

Multiple Choices 63 95.5%
Subjective 3 4.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
65 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
65 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Straight Lines And Pair Of Straight Lines
65 Qs

Paper coverage

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

WB JEE 2026
1 Qs
WB JEE 2026
1 Qs
VITEEE 2025
2 Qs
WB JEE 2025
2 Qs
WB JEE 2024
5 Qs
WB JEE 2023
6 Qs
WB JEE 2022
3 Qs
WB JEE 2021
4 Qs
WB JEE 2020
5 Qs
WB JEE 2019
5 Qs
WB JEE 2018
4 Qs
WB JEE 2017
4 Qs
WB JEE 2016
4 Qs
WB JEE 2011
4 Qs
WB JEE 2010
5 Qs
WB JEE 2009
7 Qs
WB JEE 2008
4 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
WB JEE 202620261View paper
WB JEE 202620261View paper
VITEEE 202520252View paper
WB JEE 202520252View paper
WB JEE 202420245View paper
WB JEE 202320236View paper
WB JEE 202220223View paper
WB JEE 202120214View paper
WB JEE 202020205View paper
WB JEE 201920195View paper
WB JEE 201820184View paper
WB JEE 201720174View paper
WB JEE 201620164View paper
WB JEE 201120114View paper
WB JEE 201020105View paper
WB JEE 200920097View paper
WB JEE 200820084View 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
2016 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2016
The coordinates of a point on the line x + y + 1 = 0, which is at a distance \({1 \over 5}\) unit from the line 3x + 4y + 2 = 0, are
A
(2, \(-\) 3)
B
(\(-\)3, 2)
C
(0, \(-\) 1)
D
(\(-\)1, 0)
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2
2016 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2016
The line AB cuts off equal intercepts 2a from the axes. From any point P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid-point of RS is
A
x \(-\) y = \({a \over 2}\)
B
x + y = a
C
x2 + y2 = 4a2
D
x2 \(-\) y2 = 2a2
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3
2016 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2016
x + 8y \(-\) 22 = 0, 5x + 2y \(-\) 34 = 0, 2x \(-\) 3y + 13 = 0 are the three sides of a triangle. The area of the triangle is
A
36 sq units
B
19 sq units
C
42 sq units
D
72 sq units
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4
2016 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2016
The line through the points (a, b) and (\(-\)a, \(-\)b), passes through the point
A
(1, 1)
B
(3a, \(-\)2b)
C
\(({a^2},ab)\)
D
(a, b)
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5
2017 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2017
Let A(2, \(-\)3) and B(\(-\) 2, 1) be two angular points of \(\Delta\)ABC. If the centroid of the triangle moves on the line 2x + 3y = 1, then the locus of the angular point C is given by
A
2x + 3y = 9
B
2x \(-\) 3y = 9
C
3x + 2y = 5
D
3x \(-\) 2y = 3
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6
2017 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2017
Transforming to parallel axes through a point (p, q), the equation \(2{x^2} + 3xy + 4{y^2} + x + 18y + 25 = 0\) becomes \(2{x^2} + 3xy + 4{y^2} = 1\). Then,
A
p = \(-\) 2, q = 3
B
p = 2, q = \(-\) 3
C
p = 3, q = \(-\) 4
D
p = \(-\) 4, q = 3
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7
2017 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2017
The point P(3, 6) is first reflected on the line y = x and then the image point Q is again reflected on the line y = \(-\) x to get the image point Q'. Then, the circumcentre of the \(\Delta\)PQQ' is
A
(6, 3)
B
(6, \(-\)3)
C
(3, \(-\)6)
D
(0, 0)
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8
2017 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2017
Let d1 and d2 be the lengths of the perpendiculars drawn from any point of the line \(7x - 9y + 10 = 0\) upon the lines 3x + 4y = 5 and 12x + 5y = 7, respectively. Then,
A
d1 > d2
B
d1 = d2
C
d1 < d2
D
d1 = 2d2
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9
2018 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2018
The area of the triangle formed by the intersection of a line parallel to X-axis and passing through P(h, k), with the lines y = x and x + y = 2 is h2. The locus of the point P is
A
x = y \(-\) 1
B
x = \(-\) (y \(-\) 1)
C
x = 1 + y
D
x = \(-\) (1 + y)
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10
2018 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2018
The point Q is the image of the point P(1, 5) about the line y = x and R is the image of the point Q about the line y = \(-\) X. The circumcentre of the \(\Delta\)PQR is
A
(5, 1)
B
(\(-\) 5, 1)
C
(1, \(-\) 5)
D
(0, 0)
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11
2018 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2018
A line cuts the X-axis at A(5, 0) and the Y-axis at B(0, \(-\)3). A variable line PQ is drawn perpendicular to AB cutting the X-axis at P and the Y-axis at Q. If AQ and BP meet at R, then the locus of R is
A
\({x^2} + {y^2} - 5x + 3y = 0\)
B
\({x^2} + {y^2} + 5x + 3y = 0\)
C
\({x^2} + {y^2} + 5x - 3y = 0\)
D
\({x^2} + {y^2} - 5x - 3y = 0\)
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12
2018 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2018
The angular points of a triangle are A(\(-\) 1, \(-\) 7), B(5, 1) and C(1, 4). The equation of the bisector of the angle \(\angle\)ABC is
A
x = 7y + 2
B
7y = x + 2
C
y = 7x + 2
D
7x = y + 2
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13
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2019
A variable line passes through a fixed point \(({x_1},{y_1})\) and meets the axes at A and B. If the rectangle OAPB be completed, the locus of P is, (O being the origin of the system of axes).
A
\({(y - {y_1})^2} = 4(x - {x_1})\)
B
\({{{x_1}} \over x} + {{{y_1}} \over y} = 1\)
C
\({x^2} + {y^2} = x_1^2 + y_{\kern 1pt} ^2\)
D
\({{{x^2}} \over {2x_1^2}} + {{{y^2}} \over {y_1^2}} = 1\)
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14
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2019
A variable line passes through the fixed point \((\alpha ,\beta )\). The locus of the foot of the perpendicular from the origin on the line is
A
\({x^2} + {y^2} - \alpha x - \beta y = 0\)
B
\({x^2} - {y^2} + 2\alpha x + 2\beta y = 0\)
C
\(\alpha x + \beta y \pm \sqrt {({\alpha ^2} + {\beta ^2})} = 0\)
D
\({{{x^2}} \over {{\alpha ^2}}} + {{{y^2}} \over {{\beta ^2}}} = 1\)
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15
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2019
If the point of intersection of the lines 2ax + 4ay + c = 0 and 7bx + 3by \(-\) d = 0 lies in the 4th quadrant and is equidistant from the two axes, where a, b, c and d are non-zero numbers, then ad : bc equals to
A
2 : 3
B
2 : 1
C
1 : 1
D
3 : 2
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16
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2019
Straight lines x \(-\) y = 7 and x + 4y = 2 intersect at B. Points A and C are so chosen on these two lines such that AB = AC. The equation of line AC passing through (2, \(-\)7) is
A
x \(-\) y \(-\) 9 = 0
B
23x + 7y + 3 = 0
C
2x \(-\) y \(-\) 11 = 0
D
7x \(-\) 6y \(-\) 56 = 0
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17
2019 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2019
A straight line through the point (3, \(-\)2) is inclined at an angle 60\(^\circ\) to the line \(\sqrt 3 x + y = 1\). If it intersects the X-axis, then its equation will be
A
\(y + x\sqrt 3 + 2 + 3\sqrt 3 = 0\)
B
\(y - x\sqrt 3 + 2 + 3\sqrt 3 = 0\)
C
\(y - x\sqrt 3 - 2 - 2\sqrt 3 = 0\)
D
\(x - x\sqrt 3 + 2 - 3\sqrt 3 = 0\)
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18
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2020
The equation \(r\,\cos \left( {\theta - {\pi \over 3}} \right) = 2\) represents
A
a circle
B
a parabola
C
an ellipse
D
a straight line
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19
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2020
The equation of the straight line passing through the point (4, 3) and making intercepts on the coordinate axes whose sum is \(- 1\) is
A
\({x \over 2} - {y \over 3} = 1\)
B
\({x \over { - 2}} + {y \over 1} = 1\)
C
\(- {x \over 3} + {y \over 2} = 1\)
D
\({x \over 1} - {y \over 2} = 1\)
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20
2020 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
WB JEE 2020
Let each of the equations x2 + 2xy + ay2 = 0 and ax2 + 2xy + y2 = 0 represent two straight lines passing through the origin. If they have a common line, then the other two lines are given by
A
\(x - y = 0,\,x - 3y = 0\)
B
\(x + 3y = 0,\,3x + y = 0\)
C
\(3x + y = 0,\,3x - y = 0\)
D
\((3x - 2y) = 0,\,x + y = 0\)
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Showing 20 of 65 questions