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Mathematics - Straight Lines

Practise 328 TS EAMCET previous year questions on Straight Lines, compiled from papers spanning 2001 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Straight Lines has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 328 questions in all. 44% of them were easy, 41% moderate and 15% tough. Most of its questions came from 2020, with 44 questions that year. In the last three years (2022–2024) it had 88 questions across 17 papers, about 5.2 per paper.

The chapter's 10 topics are not weighted equally: Coordinate System (112 questions, 34%), Point and Line (49 questions, 15%), and Basic Forms of Straight Line (46 questions, 14%) have been asked the most. Coordinate System has also led over the last five years, with 44 questions. Coordinate System has produced the most tough questions (22).

  1. 1If then the equation of the locus of a point P such that area of triangle area of triangle PAC is04 May, 2025 (M)Locus
  2. 2( ) are the new coordinates of the point after shifting the origin to the point by translation of axes. If are the new coordinates of the po04 May, 2025 (M)Coordinate System
  3. 3The lines and04 May, 2025 (M)Concurrency & Family of Lines
  4. 4The area of the triangle formed by the line L with the coordinate axes is 12 sq. units. If L passes through the point and the product P of X04 May, 2025 (M)Basic Forms of Straight Line
  5. 5The area of the quadrilateral formed by the lines , and is04 May, 2025 (M)Point and Line
  6. 6are three points. Let be the perpendicular distances from a variable point P on to the lines and CA respectively. If are in arithmetic progr04 May, 2025 (E)Locus
  7. 7When the coordinate axes are rotated about the origin through an angle in the positive direction, the equation is transformed to , then04 May, 2025 (E)Coordinate System
  8. 8is the equation of a side of a triangle ABC. The orthocentre and circumcentre of the triangle ABC are respectively and . The reflection of o04 May, 2025 (E)Point and Line
  9. 9Two families of lines are given by and . Then the line common to both the families is04 May, 2025 (E)Straight Lines
  10. 10Two non parallel sides of a rhombus are parallel to the lines and . If is the centre of the rhombus and one of its vertices lies on , then o04 May, 2025 (E)Straight Lines
  11. 11The equation of the locus of a point which is at a distance of 5 units from a fixed point and also from a fixed line is03 May, 2025 (M)Locus
  12. 12The line divides the line segment joining the points and in the ratio . If the point of intersection of the lines and is then03 May, 2025 (M)Point and Line
  13. 13A straight line through the point makes an angle with positive X -axis in anticlockwise direction and meets the line at Q. If , then03 May, 2025 (M)Basic Forms of Straight Line
  14. 14The lines and are concurrent. The angle between the lines and is . If is an integer, then03 May, 2025 (M)Concurrency & Family of Lines
  15. 15If the equation of the circumcircle of the triangle formed by the lines , is , then03 May, 2025 (M)Concurrency & Family of Lines
  16. 16A straight line passing through a point cuts X and Y -axes at the points A and B respectively. If a point P divides AB in the ratio , then t03 May, 2025 (E)Locus
  17. 17By shifting the origin to the point through translation of axes, if is the transformed equation of , then03 May, 2025 (E)Coordinate System
  18. 18If a line L passing through the point makes an angle of with the positive direction of X -axis in anti-clockwise direction and lying in the 03 May, 2025 (E)Coordinate System
  19. 19If the perpendicular drawn from the point to the straight line meets it at and , then03 May, 2025 (E)Straight Lines
  20. 20Let Q be the image of a point with respect to the line and R be the image of Q with respect to the line . If M and N are the midpoints of PQ03 May, 2025 (E)Point and Line
  21. 21If the points form a triangle with a variable point , where t is a parameter, then the equation of the locus of the centroid of triangle ABC02 May, 2025 (M)Coordinate System
  22. 22A line L perpendicular to the line makes positive intercept on the Y axis. If the distance from the origin to the line L is 2 units and the 02 May, 2025 (M)Angle between Lines
  23. 23If a line L passing through a point intersects another line at the point such that , then the angle made by the line with positive -axis in 02 May, 2025 (M)Straight Lines
  24. 24A line segment joining a point A on -axis to a point B on -axis is such that . If P is a point on AB such that then the locus of P is02 May, 2025 (E)Locus
  25. 25The point undergoes the following transformations successively. a) Translation to a distance of 3 units in positive direction of -axis. b) R02 May, 2025 (E)Coordinate System
  26. 26If the line passing through the point and having negative slope makes an angle of with the line joining the points then the sum of intercept02 May, 2025 (E)Straight Lines
  27. 27are vertices of a triangle OBC. D is a point on OC and E is a point on OB. If the equation of DE is , then the ratio in which the line DE di02 May, 2025 (E)Point and Line
  28. 28Every point on the curve is the centroid of a triangle formed by the coordinate axes and a line (L) intersecting both the coordinate axes. T02 May, 2025 (E)Locus
  29. 29is the point to which the origin has to be shifted by translation of axes so as to remove the first-degree terms from the equation . If the 11 May, 2024 (M)Point and Line
  30. 30The area of the parallelogram formed by the lines , , where is parallel to and is parallel to is11 May, 2024 (M)Derived Forms of Line
  31. 31If the angle between the pair of lines given by the equation is then the possible values of11 May, 2024 (M)Angle bisector
  32. 32If and are collinear points, then11 May, 2024 (M)Point and Line
  33. 33and are the end points of a line segment. If is the foot of the perpendicular drawn from to , then11 May, 2024 (M)Point and Line
  34. 34If the distance from a variable point to the point is equal to the perpendicular distance from to the line , then the equation of the locus 10 May, 2024 (M)Locus
  35. 35is the point to which the origin is to be shifted by the translation of the axes so as to remove the first degree terms from the equation an10 May, 2024 (M)Coordinate System
  36. 36is the angle made by the perpendicular drawn from origin to the line with the positive -axis in the anticlockwise direction. If ' ' is the -10 May, 2024 (M)Point and Line
  37. 37The line divides the line segment joining the points and in the ratio at the point . If the point divides the line segment joining the point10 May, 2024 (M)Coordinate System
  38. 38If and are the images of the point with respect to the lines and respectively, then and lie on10 May, 2024 (M)Position of a point
  39. 39By shifting the origin to the point by the translation of coordinate axes, if the equation transforms to , then10 May, 2024 (E)Coordinate System
  40. 40The equation of the straight line whose slope is and which divides the line segment joining in the ratio externally is10 May, 2024 (E)Basic Forms of Straight Line
  41. 41and represent the equal sides of an isosceles triangle. If the third side passes through then a possible equation for the third side is10 May, 2024 (E)Basic Forms of Straight Line
  42. 42The centroid of a variable triangle is at the distance of 5 units from the origin. If and , then the locus of is09 May, 2024 (M)Coordinate System
  43. 43When the origin is shifted to the point by translation of axes, the coordinates of the point have changed to . When the origin is shifted to09 May, 2024 (M)Coordinate System
  44. 44The slope of a line passing through the point is not defined. If the angle between the lines and is , then the angle made by the line with p09 May, 2024 (M)Basic Forms of Straight Line
  45. 45is the point of concurrency of the lines and . If the perpendicular distance from the origin to the line is , then the perpendicular distanc09 May, 2024 (M)Concurrency & Family of Lines
  46. 46If and are the end points of a diagonal of a square, then the equation of one of its sides is09 May, 2024 (M)Point and Line
  47. 47If the ratio of the distances of a variable point from the point and the line is then the euqation of the locus of is09 May, 2024 (E)Locus
  48. 48If the origin is shifted to the point by the translation of axes, then the transformed equation of is09 May, 2024 (E)Coordinate System
  49. 49represents a line perpendicular to the line . If is positive, lies in the fourth quadrant and perpendicular distance from to the line is 5 u09 May, 2024 (E)Basic Forms of Straight Line
  50. 50are two vertices of a triangle and is its orthocenter. If is the third vertex of that triangle then09 May, 2024 (E)Coordinate System

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 328 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Straight Lines has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 328 questions across 64 papers - about 5 per paper it appears in.

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

Of the 328 questions analysed for this chapter, 44% are easy, 41% moderate and 15% tough. 2020 had the most, with 44 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 112 questions (34%)
  • Point and Line - 49 questions (15%)
  • Basic Forms of Straight Line - 46 questions (14%)
  • Coordinate System has produced the most tough questions (22).
6.Is Straight Lines's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Straight Lines has averaged about 5.1 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 5.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.