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Mathematics - Straight Lines

Practise 67 COMEDK previous year questions on Straight Lines, compiled from papers spanning 2012 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 COMEDK tests.

Straight Lines has been asked in 15 of the 15 years of COMEDK papers analysed (2012–2026), with 67 questions in all. 37% of them were easy, 60% moderate and 3% tough. Most of its questions came from 2025, with 12 questions that year. In the last three years (2024–2026) it had 30 questions across 10 papers, about 3 per paper.

The chapter's 7 topics are not weighted equally: Coordinate System (17 questions, 25%), Point and Line (14 questions, 21%), and Basic Forms of Straight Line (13 questions, 19%) have been asked the most. Over the last five years the most frequent topics have been Basic Forms of Straight Line (12), Point and Line (11), and Coordinate System (10). Coordinate System has produced the most tough questions (1).

  1. 1If a straight line passing through a fixed point , where , makes positive intercepts OA and OB on the coordinate axes, then the least value 09 May, 2026 (S1)Basic Forms of Straight Line
  2. 2Find the co-ordinates of the orthocentre of the triangle formed by the lines09 May, 2026 (S1)Coordinate System
  3. 3A straight line passes through the point such that the portion of the line intercepted between the co-ordinate axes is divided by in the rat09 May, 2026 (S1)Coordinate System
  4. 4Distance between and is:09 May, 2026 (S1)Point and Line
  5. 5Let the line be a line passing through the point and making an angle of with the positive –axis . Then the equation of a line parallel to an09 May, 2026 (S2)Basic Forms of Straight Line
  6. 6A line L passes through the point of intersection of the lines and . If the perpendicular distance of the line L from the point is exactly u09 May, 2026 (S2)Concurrency & Family of Lines
  7. 7Let point Q be the image of point in the line . Find the area of the circle that has the segment PQ as the diameter.09 May, 2026 (S2)Point and Line
  8. 8The inclination of a straight line passing through the point and the midpoint of the line joining the points and is25 May, 2025 (Shift)Coordinate System
  9. 9The intercept cut off by a line from -axis is twice that from -axis and the line passes through the point , then the equation of a line is25 May, 2025 (Shift)Basic Forms of Straight Line
  10. 10A straight line is drawn through a given point . The least value of the sum of the intercepts on the co-ordinate axes is25 May, 2025 (Shift)Basic Forms of Straight Line
  11. 11Distance of the point from the line is . Then the value of is10 May, 2025 (S1)Point and Line
  12. 12A line passes through the points and . The points and lie on the line . Given then equals to10 May, 2025 (S1)Basic Forms of Straight Line
  13. 13If two vertices of a triangle are and and its orthocentre is . Then the difference between ordinate and abscissa of the third vertex of the 10 May, 2025 (S1)Coordinate System
  14. 14The line AB passes through the point and the portion of the line intercepted between the axes is divided internally in the ratio by the poin10 May, 2025 (S2)Coordinate System
  15. 15In a triangle ABC the coordinate of the vertex A is . Equations of the median through B and C are respectively and . Then the equation of si10 May, 2025 (S2)Coordinate System
  16. 16The point on the line that lie at a unit distance from the line is10 May, 2025 (S2)Point and Line
  17. 17If the line is perpendicular to -axis then the value of ' ' is10 May, 2025 (S3)Concurrency & Family of Lines
  18. 18A straight line makes positive intercepts on the coordinate axes whose sum is 5 . If the line passes through the point then the equation of 10 May, 2025 (S3)Basic Forms of Straight Line
  19. 19The angle between two lines is and slope of one line is then which is the possible value of the slope of the other line.10 May, 2025 (S3)Angle between Lines
  20. 20For what value of and the intercepts cut off on the co-ordinate axes by the line are equal in length but opposite in signs to those cut off 2024 (Afternoon Shift)Basic Forms of Straight Line
  21. 21Let be a triangle with equations of its sides . respectively are and . Then the orthocentre of triangle lies on the line2024 (Afternoon Shift)Coordinate System
  22. 22The points on the -axis whose perpendicular distance from the line is 4 units are2024 (Evening Shift)Point and Line
  23. 23The line joining two points is rotated about in anticlockwise direction through an angle of . If goes to in the new position, then the coord2024 (Evening Shift)Coordinate System
  24. 24The area of the triangle whose vertices are and is 35 sq units then the value of ' ' is2024 (Evening Shift)Coordinate System
  25. 25The distance between the point from the line measured parallel to the line .2024 (Memory Based)Point and Line
  26. 26If the equation of pair of lines and can be written as . Then the equation of pair of the angle bisector of the lines is2024 (Memory Based)Angle between Lines
  27. 27The slope of line which makes an Angle with the line is2024 (Memory Based)Angle between Lines
  28. 28If the and intercept are 2 and 3 in positive direction then the slope of that line is2024 (Memory Based)Basic Forms of Straight Line
  29. 29The perpendicular distance of a line from the origin is 5 units and its slope is . The equation of the line is2024 (Morning Shift)Basic Forms of Straight Line
  30. 30Find the direction in which a straight line must be drawn through the point so that its point of intersection with the line may be at a dist2024 (Morning Shift)Basic Forms of Straight Line
  31. 31What can be said regarding a line if its slope is negative?2023 (Evening Shift)Angle between Lines
  32. 32In a , if coordinates of point is and equation of the medians through and are and respectively, then the coordinates of is2023 (Evening Shift)Coordinate System
  33. 33The ratio in which the line divides the distance between the lines and is2023 (Evening Shift)Point and Line
  34. 34The distance of the point from the line measured along the line parallel to is equal to2023 (Memory Based)Point and Line
  35. 35The slope of lines which makes an angle with the line2023 (Memory Based)Angle between Lines
  36. 363 and 5 are intercepts of a line , then the distance of from is2023 (Memory Based)Basic Forms of Straight Line
  37. 37The slope of lines which makes an angle with the line2023 (Morning Shift)Angle between Lines
  38. 383 and 5 are intercepts of a line , then the distance of from is2023 (Morning Shift)Point and Line
  39. 39The distance of the point from the line measured along the line parallel to is equal to2023 (Morning Shift)Point and Line
  40. 40The distance of the point from the line measured along the line parallel to is equal to2022Point and Line
  41. 41The slope of lines which makes an angle with the line2022Derived Forms of Line
  42. 42If 2 and 3 are intercepts of a line , then the distance of from the origin is2022Basic Forms of Straight Line
  43. 43The distance of the point from the line measured along the line parallel to is equal to2021Point and Line
  44. 44The slopes of the lines, which make an angle with the line , are2021Derived Forms of Line
  45. 45If 3 and 4 are intercepts of a line , then the distance of from the origin is2021Basic Forms of Straight Line
  46. 46The orthocent:e of the triangle with vertices is2020Coordinate System
  47. 47The coordinates of the foot of the perpendicular drawn from the point on the line is2020Point and Line
  48. 48is a triangle, is the centroid, is the mid-point of . If and , then the point is2020Coordinate System
  49. 49A variable line is such that . The locus of the mid-point of the portion of the line intercepted between the axes is2019Locus
  50. 50The centroid of the , where , and is2019Coordinate System

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 67 questions compiled from COMEDK papers spanning 2012 to 2026.

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

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

3.Is Straight Lines an important chapter for COMEDK Mathematics?

Straight Lines has appeared in 15 of the 15 years of COMEDK papers covered here, with 67 questions across 24 papers - about 3 per paper it appears in.

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

Of the 67 questions analysed for this chapter, 37% are easy, 60% moderate and 3% tough. 2025 had the most, with 12 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 17 questions (25%)
  • Point and Line - 14 questions (21%)
  • Basic Forms of Straight Line - 13 questions (19%)
  • Coordinate System has produced the most tough questions (1).
6.Is Straight Lines's weightage in COMEDK going up or down?

Across all 24 papers analysed, Straight Lines has averaged about 2.8 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 3.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.