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Mathematics - Straight Lines

Practise 146 MHTCET previous year questions on Straight Lines, compiled from papers spanning 2007 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 MHTCET tests.

Straight Lines has been asked in 12 of the 17 years of MHTCET papers analysed (2007–2026), with 146 questions in all. 53% of them were easy, 42% moderate and 4% tough. Most of its questions came from 2024, with 27 questions that year. In the last three years (2024–2026) it had 63 questions across 59 papers, about 1.1 per paper.

The chapter's 9 topics are not weighted equally: Coordinate System (56 questions, 38%), Basic Forms of Straight Line (35 questions, 24%), and Point and Line (16 questions, 11%) have been asked the most. Coordinate System has also led over the last five years, with 39 questions. Coordinate System has produced the most tough questions (4).

  1. 1The area of a triangle formed by a line with the coordinate axes is sq. units. If the perpendicular drawn from the origin to this line makes20 Apr, 2026 (M)Basic Forms of Straight Line
  2. 2A straight line makes equal negative intercepts on the coordinate axes. If the perpendicular distance from the origin to the line is 4 units20 Apr, 2026 (E)Basic Forms of Straight Line
  3. 3A straight line L passes through the point of intersection of the lines and . If L intersects the positive x-axis at and the positive y-axis19 Apr, 2026 (M)Basic Forms of Straight Line
  4. 4A line making equal intercepts on coordinate axes and is tangent to the circle . The length of each intercept made by line on the coordinate19 Apr, 2026 (M)Basic Forms of Straight Line
  5. 5The family of straight lines such that (where a, b, c are real constants) are concurrent at the point...19 Apr, 2026 (E)Concurrency & Family of Lines
  6. 6The line given by passes through the point . The line given by is parallel to . Then the distance between the lines and is...18 Apr, 2026 (M)Basic Forms of Straight Line
  7. 7The coordinates of the orthocenter of the triangle whose sides are represented by the lines , and are18 Apr, 2026 (E)Coordinate System
  8. 8If and are opposite vertices of a rhombus ABCD, then the equation of diagonal BD is17 Apr, 2026 (M)Coordinate System
  9. 9The line passes through a point that is equidistant from both the axes and lies in the first quadrant . Then the value of c is...17 Apr, 2026 (E)Coordinate System
  10. 10The number of lines passing through A (3, 4) and the sum of whose non-zero intercepts is zero is (are)16 Apr, 2026 (M)Basic Forms of Straight Line
  11. 11The line passes through the fixed point for different values of k. If 'd' is the distance of a fixed point from the origin, then16 Apr, 2026 (E)Concurrency & Family of Lines
  12. 12If a triangle has vertices and , then the coordinates of its orthocenter are....15 Apr, 2026 (M)Coordinate System
  13. 13The equation of the line passing through the point of intersection of the lines and and making an intercept 5 on the y-axis is15 Apr, 2026 (E)Concurrency & Family of Lines
  14. 14The area of the triangle formed by the co-ordinate axes and a line (where p, q and r are positive real numbers) is sq.units, then ....13 Apr, 2026 (M)Basic Forms of Straight Line
  15. 15The equation of the straight line passing through the point such that the portion of the line intercepted between the axes is divided by the13 Apr, 2026 (E)Basic Forms of Straight Line
  16. 16The equation of a line passing through the point of the intersection of the lines and and having x intercept is11 Apr, 2026 (M)Concurrency & Family of Lines
  17. 17The line intersects X and Y axes at points A and B respectively. Let be the point such that the lines AC and BC are perpendicular. The dista11 Apr, 2026 (E)Coordinate System
  18. 18If the line intersects and axes in points and respectively then incenter of the triangle where is origin is05 May, 2025 (E)Coordinate System
  19. 19The equation of the line passing through the point of intersection of the lines and and making an intercept 5 on the -axis is27 Apr, 2025 (E)Derived Forms of Line
  20. 20The line MN whose equation is cuts the X-axis at M and co-ordinates of N are . The line MN is rotated about M through in anticlockwise direc26 Apr, 2025 (M)Derived Forms of Line
  21. 21The circumcenter of the triangle formed by lines and is26 Apr, 2025 (M)Coordinate System
  22. 22The acute angle between the line and the line which makes equal intercepts with the co-ordinate axes is26 Apr, 2025 (E)Angle between Lines
  23. 23A line passes through and meets the co-ordinate axes at points and . If divides the segment internally in the ratio , then the equation of t25 Apr, 2025 (M)Coordinate System
  24. 24The straight line passing through and midpoint of the line segment joining the points and have inclination25 Apr, 2025 (E)Coordinate System
  25. 25The distance of the point from the line measured parallel to the line is23 Apr, 2025 (M)Point and Line
  26. 26Let are vertices of then the co-ordinates of incentre of is23 Apr, 2025 (E)Coordinate System
  27. 27From the following options, the nearest line to the origin is ....22 Apr, 2025 (M)Point and Line
  28. 28The circumradius of the triangle formed by the lines and is22 Apr, 2025 (E)Coordinate System
  29. 29The joint equation of the bisectors of the angles between the line and is21 Apr, 2025 (M)Angle bisector
  30. 30If the line passes though the point which divides the line segment joining the points and internally in the ratio then,21 Apr, 2025 (M)Coordinate System
  31. 31The points and are two opposite vertices of a rectangle. The other two vertices are lie on the line where c is the constant, then co-ordinat21 Apr, 2025 (E)Coordinate System
  32. 32The acute angle between the lines \(x=-2+2 {t}, {y}=3-4 {t}, {z}=-4+ {t}\) and \(x=-2- {t}, {y}=3+2 {t}, {z}=-4+3 {t}\) is20 Apr, 2025 (M)Angle between Lines
  33. 33If the equation of the median through vertex of with vertices and is , then where p and k are constants20 Apr, 2025 (E)Coordinate System
  34. 34The point of intersection of the diagonals of the rectangle whose sides are contained in the lines and is19 Apr, 2025 (M)Coordinate System
  35. 35A straight line through the origin 0 meets the line and at the points and respectively. Then 0 divides the segment in the ratio.19 Apr, 2025 (E)Coordinate System
  36. 36The perpendicular distance between the lines given by is , then19 Apr, 2025 (E)Point and Line
  37. 37If represents a pair of straight lines and slope of one of the lines is twice that of the other, then is [Note: The question has been modifi16 May, 2024 (M)Basic Forms of Straight Line
  38. 38A line with positive direction cosines passes through the point and makes equal angles with co-ordinate axes. The line meets the plane at po16 May, 2024 (M)Basic Forms of Straight Line
  39. 39Suppose that the points and lie on the line . If a line passing through the points and is perpendicular to , then equals16 May, 2024 (M)Angle between Lines
  40. 40The abscissa of the point on the curve where the tangent is parallel to the X -axis is16 May, 2024 (M)Derived Forms of Line
  41. 41The co-ordinates of the foot of perpendicular, drawn from the point on the line are16 May, 2024 (E)Point and Line
  42. 42If one of the lines represented by is perpendicular to , then15 May, 2024 (E)Basic Forms of Straight Line
  43. 43A line makes angle with positive X -axis and makes equal angles with positive Y -axis ad Z -axis respectively, then the sum of the three ang15 May, 2024 (E)Basic Forms of Straight Line
  44. 44The equation of a line passing through the point and parallel to the line joining the points and is15 May, 2024 (E)Basic Forms of Straight Line
  45. 45The area of the triangle with vertices , and is.11 May, 2024 (M)Coordinate System
  46. 46If the slope of one of the lines given by is three times the order, then the value of K is11 May, 2024 (M)Basic Forms of Straight Line
  47. 47Let and be three points. Then the equation of the bisector of the angle is11 May, 2024 (M)Angle bisector
  48. 48Let a line intersect the co-ordinate axes in points and such that the area of the triangle is 12 sq. units. If the line passes through the p10 May, 2024 (M)Coordinate System
  49. 49is formed by the lines and the line . The equation of line is . Then the equation of the median of the triangle drawn from the origin is10 May, 2024 (M)Coordinate System
  50. 50The straight line, is perpendicular to the line passing through the points and , then equals09 May, 2024 (M)Derived Forms of Line

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 146 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Straight Lines has appeared in 12 of the 17 years of MHTCET papers covered here, with 146 questions across 97 papers - about 2 per paper it appears in.

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

Of the 146 questions analysed for this chapter, 53% are easy, 42% moderate and 4% tough. 2024 had the most, with 27 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 56 questions (38%)
  • Basic Forms of Straight Line - 35 questions (24%)
  • Point and Line - 16 questions (11%)
  • Coordinate System has produced the most tough questions (4).
6.Is Straight Lines's weightage in MHTCET going up or down?

Across all 97 papers analysed, Straight Lines has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.