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Mathematics - Straight Lines

Practise 218 JEE Main previous year questions on Straight Lines, compiled from papers spanning 2002 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Main tests.

Straight Lines has been asked in 25 of the 25 years of JEE Main papers analysed (2002–2026), with 218 questions in all. 29% of them were easy, 57% moderate and 14% tough. Most of its questions came from 2024, with 30 questions that year. In the last three years (2024–2026) it had 57 questions across 49 papers, about 1.2 per paper.

The chapter's 10 topics are not weighted equally: Coordinate System (71 questions, 33%), Locus (43 questions, 20%), and Basic Forms of Straight Line (28 questions, 13%) have been asked the most. Coordinate System has also led over the last five years, with 46 questions. Coordinate System has produced the most tough questions (12).

  1. 1If a straight line drawn through the point of intersection of the lines and , meets the co-ordinate axes at the points P and Q, then the loc08 Apr, 2026 (E)Concurrency & Family of Lines
  2. 2In an equilateral triangle , let the vertex be at and the side be along the line . If the orthocentre of the triangle is , then is equal to:05 Apr, 2026 (M)Coordinate System
  3. 3From the point , two rays are sent making angles of with the line . These rays get reflected from the mirror . If the equations of the refle05 Apr, 2026 (E)Angle between Lines
  4. 4Let the line intersect the lines and at the points and , respectively. Let the bisector of the obtuse angle between the lines and intersect 04 Apr, 2026 (M)Angle bisector
  5. 5Let the vertex of a triangle be , and the mid-point of the side be . If the centroid of this triangle is and its circumcenter is , then is e04 Apr, 2026 (M)Coordinate System
  6. 6Let , , be a point on the ellipse , be a point on the circle and be a point on the line such that the centroid of the triangle is . Then the04 Apr, 2026 (E)Coordinate System
  7. 7Let be points on the two half-lines , at a distance of from their point of intersection . The line segment meets the angle bisector of the g04 Apr, 2026 (E)Coordinate System
  8. 8Let the mid points of the sides of a triangle be , and . If its incentre is , then is equal to :02 Apr, 2026 (M)Coordinate System
  9. 9Let ABC be an equilateral triangle with orthocenter at the origin and the side BC on the line . If the co-ordinates of the vertex A are , th28 Jan, 2026 (M)Coordinate System
  10. 10Let and be three points. If the equation of the bisector of the angle ABC is , then the value of is24 Jan, 2026 (M)Angle bisector
  11. 11Let the angles made with the positive -axis by two straight lines drawn from the point and meeting the line at a distance from the point P b24 Jan, 2026 (E)Point and Line
  12. 12A rectangle is formed by the lines and . Let the line L be perpendicular to and divide the area of the rectangle into two equal parts. Then 23 Jan, 2026 (M)Point and Line
  13. 13Let and be two diagonally opposite vertices of a rhombus, whose sides AD and BC are parallel to the line . If and are the other two vertices23 Jan, 2026 (E)Coordinate System
  14. 14Among the statements : If and are two vertices of a triangle, whose orthocentre is , then its third vertex is and (S2) : If positive numbers22 Jan, 2026 (E)Coordinate System
  15. 15Let a point lie between the parallel lines and such that its distances from and are 6 and 3 units, respectively. Then the area (in sq. units21 Jan, 2026 (M)Coordinate System
  16. 16A line passing through the point makes an acute angle with the positive x -axis. Let this line be rotated about the point through an angle i08 Apr, 2025 (E)Coordinate System
  17. 17Let a be the length of a side of a square OABC with being the origin. Its side OA makes an acute angle with the positive -axis and the equat08 Apr, 2025 (E)Angle between Lines
  18. 18Let ABC be the triangle such that the equations of lines and be and , respectively, and the points B and C lie on x -axis. If is the orthoce07 Apr, 2025 (M)Coordinate System
  19. 19If the orthocentre of the triangle formed by the lines and is at , then is :07 Apr, 2025 (E)Coordinate System
  20. 20Let the three sides of a triangle are on the lines and . Then the distance of its orthocentre from the orthocentre of the triangle formed by04 Apr, 2025 (M)Coordinate System
  21. 21A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines and , at the points and ,03 Apr, 2025 (M)Angle between Lines
  22. 22Let the equation have equal roots. Then the distance of the point from the line is03 Apr, 2025 (E)Point and Line
  23. 23Consider the lines , being a parameter, all passing through a point P . One of these lines (say L) is farthest from the origin. If the dista03 Apr, 2025 (E)Concurrency & Family of Lines
  24. 24Let and be the vertices of a triangle . Then the maximum area of the parallelogram AFDE , formed with vertices and F on the sides and AB of 02 Apr, 2025 (E)Coordinate System
  25. 25Let the area of the triangle formed by a straight Line L: with co-ordinate axes be 48 square units. If the perpendicular drawn from the orig02 Apr, 2025 (E)Basic Forms of Straight Line
  26. 26Let \(A B C\) be a triangle formed by the lines \(7 x-6 y+3=0, x+2 y-31=0\) and \(9 x-2 y-19=0\). Let the point \((h, k)\) be the image of t29 Jan, 2025 (M)Coordinate System
  27. 27Let the line meet the axes of and at A and B, respectively. A right angled triangle AMN is inscribed in the triangle OAB , where O is the or29 Jan, 2025 (E)Coordinate System
  28. 28Let and . Let and be the vertices of a triangle , where is a parameter. If , is the locus of the centroid of triangle ABC , then equals28 Jan, 2025 (M)Coordinate System
  29. 29Two equal sides of an isosceles triangle are along and . If m is the slope of its third side, then the sum, of all possible distinct values 28 Jan, 2025 (E)Angle between Lines
  30. 30Let the lines , and be concurrent. If the image of the point in the line is , then is equal to24 Jan, 2025 (M)Point and Line
  31. 31Let the points lie on or inside the triangle with sides and . Then the product of the smallest and the largest values of is equal to :24 Jan, 2025 (E)Position of a point
  32. 32Let the area of a with vertices and be 35 square units. If its orthocenter and centroid are and respectively, then is equal to23 Jan, 2025 (M)Coordinate System
  33. 33A rod of length eight units moves such that its ends and always lie on the lines and , respectively. If the locus of the point , that divide23 Jan, 2025 (E)Locus
  34. 34Let the triangle PQR be the image of the triangle with vertices and in the line . If the centroid of is the point , then is equal to :22 Jan, 2025 (M)Coordinate System
  35. 35Let and , be the vertices of a triangle. If and be its orthocenter and centroid respectively, then is equal to ______ -.22 Jan, 2025 (E)Coordinate System
  36. 36A ray of light coming from the point gets reflected from the point on the -axis and then passes through the point . If the point is such tha09 Apr, 2024 (M)Basic Forms of Straight Line
  37. 37Two vertices of a triangle are and , and its orthocentre is . If the coordinates of the point are and the centre of the of the circle circum09 Apr, 2024 (E)Coordinate System
  38. 38The equations of two sides and of a triangle are and , respectively. The point divides the third side internally in the ratio . the equation08 Apr, 2024 (M)Coordinate System
  39. 39If the orthocentre of the triangle formed by the lines and , is the centroid of another triangle, whose circumcentre and orthocentre respect08 Apr, 2024 (M)Coordinate System
  40. 40If the image of the point in the line lies on the circle , then is equal to:08 Apr, 2024 (E)Point and Line
  41. 41If the line segment joining the points and subtends an angle at the origin, then the absolute value of the product of all possible values of08 Apr, 2024 (E)Angle between Lines
  42. 42Let a ray of light passing through the point reflects on the line and the reflected ray passes through the point . If the equation of the in08 Apr, 2024 (E)Point and Line
  43. 43Let a variable line of slope passing through the point intersect the coordinate axes at the points and . The minimum value of the sum of the06 Apr, 2024 (M)Basic Forms of Straight Line
  44. 44If and are the vertices of a quadrilateral , then its area is06 Apr, 2024 (M)Basic Forms of Straight Line
  45. 45If be the orthocentre of the triangle whose vertices are and , then the point lies on the circle:06 Apr, 2024 (E)Coordinate System
  46. 46If the locus of the point, whose distances from the point and are in the ratio , is , then the value of is equal to :06 Apr, 2024 (E)Locus
  47. 47Let two straight lines drawn from the origin intersect the line at the points and such that is an isosceles triangle and . If , then the gre05 Apr, 2024 (M)Basic Forms of Straight Line
  48. 48If and are the vertices of a quadrilateral , then its area is :05 Apr, 2024 (M)Basic Forms of Straight Line
  49. 49Let and be two points and be a variable point above the line such that the area of is 10 . If the locus of is , then is :05 Apr, 2024 (E)Locus
  50. 50The vertices of a triangle are and . A new triangle is formed by shifting the sides of the triangle by one unit inwards. Then the equation o04 Apr, 2024 (M)Basic Forms of Straight Line

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 218 questions compiled from JEE Main papers spanning 2002 to 2026.

2.Are these questions only from JEE Main, or from other exams too?

These are JEE Main questions specifically for the Straight Lines chapter. Questions from other exams like NTA Abhyas (JEE Main) or JEE Advanced are organised separately under their respective exam sections.

3.Is Straight Lines an important chapter for JEE Main Mathematics?

Straight Lines has appeared in 25 of the 25 years of JEE Main papers covered here, with 218 questions across 157 papers - about one per paper it appears in.

4.What is the difficulty level of Straight Lines questions in JEE Main?

Of the 218 questions analysed for this chapter, 29% are easy, 57% moderate and 14% tough. 2024 had the most, with 30 questions.

5.Which topics in Straight Lines should I focus on?

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 71 questions (33%)
  • Locus - 43 questions (20%)
  • Basic Forms of Straight Line - 28 questions (13%)
  • Coordinate System has produced the most tough questions (12).
6.Is Straight Lines's weightage in JEE Main going up or down?

Across all 157 papers analysed, Straight Lines has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.