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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.

39Papers
33Years
85Questions
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.

Medium 41 48.2%
Easy 26 30.6%
Hard 14 16.5%
Not classified 4 4.7%

Question type distribution

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

Multiple Choices 49 57.6%
Subjective 28 32.9%
Fill in the blanks 5 5.9%
Numerical Answer Type (NAT) 3 3.5%

Subject weightage

Top subjects by unique question coverage.

Mathematics
85 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
85 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Straight Lines And Pair Of Straight Lines
85 Qs

Paper coverage

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

JEE ADVANCED 2025 PAPER 2 ONLINE
1 Qs
JEE ADVANCED 2021 PAPER 1 ONLINE
2 Qs
JEE ADVANCED 2014 PAPER 1 OFFLINE
1 Qs
JEE ADVANCED 2013 PAPER 1 OFFLINE
1 Qs
IIT JEE 2011 PAPER 1 OFFLINE
1 Qs
IIT JEE 2008 PAPER 1 OFFLINE
2 Qs
IIT JEE 2008 PAPER 2 OFFLINE
2 Qs
IIT JEE 2007 PAPER 2 OFFLINE
2 Qs
IIT JEE 2007 PAPER 1 OFFLINE
1 Qs
IIT JEE 2005
1 Qs
IIT JEE 2005 MAINS
1 Qs
IIT JEE 2004 SCREENING
1 Qs
IIT JEE 2003 SCREENING
2 Qs
IIT JEE 2002
6 Qs
IIT JEE 2002 SCREENING
3 Qs
IIT JEE 2001 SCREENING
2 Qs
IIT JEE 2001
1 Qs
IIT JEE 2000
2 Qs
IIT JEE 2000 SCREENING
2 Qs
IIT JEE 1999
3 Qs
IIT JEE 1998
4 Qs
IIT JEE 1996
1 Qs
IIT JEE 1995
1 Qs
IIT JEE 1994
2 Qs
IIT JEE 1993
3 Qs
IIT JEE 1992
2 Qs
IIT JEE 1991
3 Qs
IIT JEE 1990
3 Qs
IIT JEE 1989
1 Qs
IIT JEE 1988
3 Qs
IIT JEE 1986
3 Qs
IIT JEE 1985
4 Qs
IIT JEE 1984
2 Qs
IIT JEE 1983
6 Qs
IIT JEE 1982
2 Qs
IIT JEE 1981
1 Qs
IIT JEE 1980
2 Qs
IIT JEE 1979
2 Qs
IIT JEE 1978
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
JEE ADVANCED 2025 PAPER 2 ONLINE20251View paper
JEE ADVANCED 2021 PAPER 1 ONLINE20212View paper
JEE ADVANCED 2014 PAPER 1 OFFLINE20141View paper
JEE ADVANCED 2013 PAPER 1 OFFLINE20131View paper
IIT JEE 2011 PAPER 1 OFFLINE20111View paper
IIT JEE 2008 PAPER 1 OFFLINE20082View paper
IIT JEE 2008 PAPER 2 OFFLINE20082View paper
IIT JEE 2007 PAPER 1 OFFLINE20071View paper
IIT JEE 2007 PAPER 2 OFFLINE20072View paper
IIT JEE 200520051View paper
IIT JEE 2005 MAINS20051View paper
IIT JEE 2004 SCREENING20041View paper
IIT JEE 2003 SCREENING20032View paper
IIT JEE 200220026View paper
IIT JEE 2002 SCREENING20023View paper
IIT JEE 200120011View paper
IIT JEE 2001 SCREENING20012View paper
IIT JEE 200020002View paper
IIT JEE 2000 SCREENING20002View paper
IIT JEE 199919993View paper
IIT JEE 199819984View paper
IIT JEE 199619961View paper
IIT JEE 199519951View paper
IIT JEE 199419942View paper
IIT JEE 199319933View paper
IIT JEE 199219922View paper
IIT JEE 199119913View paper
IIT JEE 199019903View paper
IIT JEE 198919891View paper
IIT JEE 198819883View paper
IIT JEE 198619863View paper
IIT JEE 198519854View paper
IIT JEE 198419842View paper
IIT JEE 198319836View paper
IIT JEE 198219822View paper
IIT JEE 198119811View paper
IIT JEE 198019802View paper
IIT JEE 197919792View paper
IIT JEE 197819783View 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
1978 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1978
One side of rectangle lies along the line \(4x + 7y + 5 = 0.\) Two of its vertices are \((-3, 1)\) and \((1, 1).\) Find the equations of the other three sides.
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2
1978 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1978
The area of a triangle is \(5\). Two of its vertices are \(A\left( {2,1} \right)\) and \(B\left( {3, - 2} \right)\). The third vertex \(C\) lies on \(y = x + 3\). Find \(C\).
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3
1978 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1978
A straight line segment of length \(\ell\) moves with its ends on two mutually perpendicular lines. Find the locus of the point which divides the line segment in the ratio \(1 : 2\)
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4
1979 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1979
The points \(\left( { - a,\, - b} \right),\,\left( {0,\,0} \right),\,\left( {a,\,b} \right)\) and \(\left( {{a^2},\,ab} \right)\) are :
A
Collinear
B
Vertices of a parallelogram
C
Vertices of a rectangle
D
None of these
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5
1979 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1979
(a) Two vertices of a triangle are \((5, -1)\) and \((-2, 3).\) If the orthocentre of the triangle is the origin, find the coordinates of the third point.
(b) Find the equation of the line which bisects the obtuse angle between the lines \(x - 2y + 4 = 0\) and \(4x - 3y + 2 = 0\).
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6
1980 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1980
The point \(\,\left( {4,\,1} \right)\) undergoes the following three transformations successively.
Reflection about the line \(y=x\).
Translation through a distance 2 units along the positive direction of x-axis.
Rotation through an angle \(p/4\) about the origin in the counter clockwise direction.
Then the final position of the point is given by the coordinates.
A
\(\left( {{1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)\)
B
\(\left( { - \sqrt 2 ,\,7\sqrt 2 } \right)\)
C
\(\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)\)
D
\(\left( { \sqrt 2 ,\,7\sqrt 2 } \right)\)
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7
1980 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1980
A straight line \(L\) is perpendicular to the line \(5x - y = 1.\) The area of the triangle formed by the line \(L\) and the coordinate axes is \(5\). Find the equation of the Line \(L\).
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8
1981 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1981
The area enclosed within the curve \(\left| x \right| + \left| y \right| = 1\) is .................
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9
1982 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1982
\(y = {10^x}\) is the reflection of \({\log _{10}}\,x\) in the line whose equation is ...........
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10
1982 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1982
The set of lines \(ax + by + c = 0,\) where \(3a + 2b + 4c = 0\) is concurrent at the point ..........
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11
1983 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1983
The straight line \(5x + 4y = 0\) passes through the point of intersection of the straight lines \(x + 2y - 10 = 0\) and \(2x + y + 5 = 0.\)
A
TRUE
B
FALSE
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12
1983 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1983
The coordinates of \(A, B, C\) are \((6, 3), (-3, 5), (4, -2)\) respectively, and \(P\) is any point \((x, y)\). Show that the ratio of the area of the triangles \(\Delta\) \(PBC\) and \(\Delta\)\(ABC\) is \(\left| {{{x + y - 2} \over 7}} \right|\)
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13
1983 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1983
The end \(A, B\) of a straight line segment of constant length \(c\) slide upon the fixed rectangular axes \(OX, OY\) respectively. If the rectangle \(OAPB\) be completed, then show that the locus of the foot of the perpendicular drawn from \(P\) to \(AB\) is \({x^{{2 \over 3}}} + {y^{{2 \over 3}}} = {c^{{2 \over 3}}}\)
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14
1983 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1983
The straight lines \(x + y = 0,\,3x + y - 4 = 0,\,x + 3y - 4 = 0\) form a triangle which is
A
isosceles
B
equilateral
C
right angled
D
none of these
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15
1983 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1983
The vertices of a triangle are
\(\left[ {a{t_1}{t_2},\,\,a\left( {{t_1} + {t_2}} \right)} \right],\,\,\left[ {a{t_2}{t_3},a\left( {{t_2} + {t_3}} \right)} \right],\,\,\left[ {a{t_3}{t_1},\,a\left( {{t_3} + {t_1}} \right)} \right]\). Find the orthocentre of the triangle.
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16
1983 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1983
Given the points \(A\left( {0,4} \right)\) and \(B\left( {0, - 4} \right)\), the equation of the locus of the point \(P\left( {x,y} \right)\) such that \(\left| {AP - BP} \right| = 6\) is .............
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17
1984 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1984
Two equal sides of an isosceles triangle are given by the equations \(7x - y + 3 = 0\) and \(x + y - 3 = 0\) and its thirds side passes through the point \((1, -10)\). Determine the equation of the third side.
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18
1984 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1984
If \(a,\,b\) and \(c\) are in A.P., then the straight line \(ax + by + c = 0\) will always pass through a fixed point whose coordinates are ...............
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19
1985 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1985
One of the diameters of the circle circumscribing the rectangle \(ABCD\) is \(4y = x + 7\). If \(A\) and \(B\) are the points \((-3, 4)\) and \((5, 4)\) respectively, then find the area of rectangle.
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20
1985 · Mathematics · Coordinate Geometry · Straight Lines And Pair Of Straight Lines
IIT JEE 1985
The orthocentre of the triangle formed by the lines \(x + y = 1,\,2x + 3y = 6\) and \(4x - y + 4 = 0\) lies in quadrant number .............
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Showing 20 of 85 questions