Jump to a section

Mathematics - Straight Lines

Practise 75 WBJEE previous year questions on Straight Lines, compiled from papers spanning 2009 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 WBJEE tests.

Straight Lines has been asked in 18 of the 18 years of WBJEE papers analysed (2009–2026), with 75 questions in all. 35% of them were easy, 48% moderate and 17% tough. Most of its questions came from 2016, with 8 questions that year. In the last three years (2024–2026) it had 8 questions across 3 papers, about 2.7 per paper.

The chapter's 8 topics are not weighted equally: Locus (18 questions, 24%), Coordinate System (17 questions, 23%), and Point and Line (13 questions, 17%) have been asked the most. Locus has also led over the last five years, with 4 questions. Locus has produced the most tough questions (7).

  1. 1The ends of a straight line segment of constant length slide upon the fixed rectangular axes OX, OY respectively. If the rectangle OAPB comp2026Locus
  2. 2The line parallel to the -axis passing through the intersection of the lines and where is2025Angle between Lines
  3. 3Consider three points , where . Then2025Point and Line
  4. 4In , co-ordinates of are and the equation of the medians through and are and respectively. Then the midpoint of is2024Coordinate System
  5. 5If (1, 5) be the midpoint of the segment of a line between the line 5x – y – 4 = 0 and 3x + 4y – 4 = 0, then the equation of the line 2024Point and Line
  6. 6Let be the curve be the straight line where2024Basic Forms of Straight Line
  7. 7If ABC is an isosceles triangle and the coordinates of the base points are B(1, 3) and C(–2, 7). The coordinates of A can be2024Coordinate System
  8. 8A square with each side equal to 'a' above the -axis and has one vertex at the origin. One of the sides passing through the origin makes an 2024Basic Forms of Straight Line
  9. 9Let \(A\) be the point \((0,4)\) in the xy-plane and let \(B\) be the point \((2 t, 0)\). Let \(L\) be the midpoint of \(A B\) and let the p2023Locus
  10. 10If \(4 a^2+9 b^2-c^2+12 a b=0\), then the family of straight lines \(a x+b y+c=0\) is concurrent at2023Concurrency & Family of Lines
  11. 11The straight lines \(x+2 y-9=0,3 x+5 y-5=0\) and \(a x+\) by \(-1=0\) are concurrent if the straight line \(35 x-22 y+\) \(1=0\) passes thro2023Concurrency & Family of Lines
  12. 12The locus of points \((x, y)\) in the plane satisfying \( ^2 x+ ^2 y=1\) consists of2023Locus
  13. 13A rectangle \(A B C D\) has its side parallel to the line \(y=2 x\) and vertices \(A, B, D\) are on lines \(y=1, x=1\) and \(x=-1\) respecti2023Coordinate System
  14. 14If the sum of the distances of a point from two perpendicular lines in a plane is 1 unit, then its locus is2022Locus
  15. 15A line passes through the point and makes an angle in the positive direction of -axis. If this line meets the curve at and , then is equal t2022Basic Forms of Straight Line
  16. 16If the algebraic sum of the distances from the points and to a variable straight line be zero, then the line passes through the fixed point2022Point and Line
  17. 17Consider the equation . If and are fixed and different lines are drawn for different values of , then2022Derived Forms of Line
  18. 18Let be the point and be a moving point on -axis. Let be the midpoint of and let the perpendicular bisector of meets the -axis at . The locus2021Locus
  19. 19A moving line intersects the lines and at the points A, B respectively such that the area of the triangle with vertices has a constant area 2021Locus
  20. 20If then the maximum area of the parallelogram whose three vertices are and is2021Coordinate System
  21. 21A ray of light along gets reflected upon reaching -axis, the equation of the reflected ray is2021Basic Forms of Straight Line
  22. 22Two tangents to the circle at the points and meet at . The area of the quadrilateral MAOB, where is the origin is2021Coordinate System
  23. 23A plane meets the co-ordinate axes at the points respectively in such a way that the centroid of is for some real . If the plane passes thro2021Coordinate System
  24. 24The equation represents2020Basic Forms of Straight Line
  25. 25Let each of the equations represent two straight lines passing through the origin. If they have a common line, then the other two lines are 2020Concurrency & Family of Lines
  26. 26A straight line through the origin meets the parallel lines and at and respectively. The point O divides the segment in the ratio2020Coordinate System
  27. 27Aline cuts the -axis at and the -axis at . A variable line is drawn perpendicular to cutting the -axis at and the -axis at . If and BP inter2020Concurrency & Family of Lines
  28. 28The equation of the straight line passing through the point and making intercepts on the co-ordinate axes whose sum is is2020Basic Forms of Straight Line
  29. 29A variable line passes through a fixed point and meets the axes at and . If the rectangle be completed, the locus of is, being the origin of2019Locus
  30. 30A straight line through the point (3,-2) is ndined at an angle to the line . If it intersects the -axis, then its equation vill be2019Basic Forms of Straight Line
  31. 31A variable line passes through the fixed point The locus of the foot of the perpendicular from the origin on the line is2019Locus
  32. 32If the point of intersection of the lines and lies in the 4 th quadrant and is equidistant from the two axes, where and are non-zero numbers2019Concurrency & Family of Lines
  33. 33If and are three given points, then the centre of the circle for which the lines and are the tangents is2019Coordinate System
  34. 34Straight lines and intersect at . Points and are so chosen on these two lines such that . The equation of line passing through (2,-7) is2019Concurrency & Family of Lines
  35. 35The point is the image of the point about the line and is the image of the point about the line The circumcentre of the is2018Point and Line
  36. 36The angular points of a triangle are and . The equation of the bisector of the angle is2018Angle bisector
  37. 37A line cuts the -axis at and the -axis at . A variable line is drawn perpendicular to cutting the -axis at and the -axis at . If and meet at2018Locus
  38. 38The area of the triangle formed by the intersection of a line parallel to -axis and passing through with the lines and is . The locus of the2018Locus
  39. 39Transforming to parallel axes through a point the equation becomes Then2017Coordinate System
  40. 40Let and be two angular points of . If the centroid of the triangle moves on the line , then the locus of the angular point is given by2017Coordinate System
  41. 41The point is first reflected on the line and then the image point is again reflected on the line to get the image point Then, the circumcent2017Point and Line
  42. 42Let and be the lengths of the perpendiculars drawn from any point of the line upon the lines and respectively. Then,2017Point and Line
  43. 43Let be the set of points, whose abscissae and ordinates are natural numbers. Let , such that the sum of the distance of from (8,0) and (0,122016Basic Forms of Straight Line
  44. 44The points and are always2016Point and Line
  45. 45The line cuts off equal intercepts from the axes. From any point on the line perpendiculars and are drawn on the axes. Locus of mid-point of2016Locus
  46. 46, are the three sides of a triangle. The area of the triangle is2016Coordinate System
  47. 47The line through the points and passes through the point2016Basic Forms of Straight Line
  48. 48The locus of the point of intersection of the straight lines and , where is a non-zero real variable, is given by2016Locus
  49. 49If the vertex of the conic always lies between the straight lines and then2016Locus
  50. 50The coordinates of a point on the line which is at a distance unit from the line are2016Point and Line

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 75 questions compiled from WBJEE papers spanning 2009 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Straight Lines has appeared in 18 of the 18 years of WBJEE papers covered here, with 75 questions across 18 papers - about 4 per paper it appears in.

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

Of the 75 questions analysed for this chapter, 35% are easy, 48% moderate and 17% tough. 2016 had the most, with 8 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Locus - 18 questions (24%)
  • Coordinate System - 17 questions (23%)
  • Point and Line - 13 questions (17%)
  • Locus has produced the most tough questions (7).
6.Is Straight Lines's weightage in WBJEE going up or down?

Across all 18 papers analysed, Straight Lines has averaged about 4.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 2.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.