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Mathematics - Straight Lines

Practise 516 AP 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 AP EAMCET tests.

Straight Lines has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 516 questions in all. 44% of them were easy, 45% moderate and 12% tough. Most of its questions came from 2021, with 68 questions that year. In the last three years (2022–2024) it had 155 questions across 28 papers, about 5.5 per paper.

The chapter's 11 topics are not weighted equally: Coordinate System (192 questions, 37%), Basic Forms of Straight Line (66 questions, 13%), and Locus (65 questions, 13%) have been asked the most. Coordinate System has also led over the last five years, with 92 questions. Coordinate System has produced the most tough questions (24).

  1. 1The locus of the third vertex of a right-angled triangle, the ends of whose hypotenuse are and , is27 May, 2025 (M)Locus
  2. 2The coordinate axes are rotated about the origin in the counter clockwise direction through an angle . If and are the intercepts made on the27 May, 2025 (M)Coordinate System
  3. 3The image of a point with respect to the line is27 May, 2025 (M)Point and Line
  4. 4If a straight line is at a distance of 10 units from the origin and the perpendicular drawn from the origin to it makes an angle with the ne27 May, 2025 (M)Straight Lines
  5. 5A straight line passing through the origin meets the parallel lines and at the points P and Q respectively. Then the point O divides the lin27 May, 2025 (M)Coordinate System
  6. 6are two points. If P is a variable point on the same side as that of the origin with respect to the line AB and is at most at a distance of 26 May, 2025 (M)Locus
  7. 7By shifting the origin to the point through translation of axes, if the equation of the curve is transformed to the form , then26 May, 2025 (M)Coordinate System
  8. 8The points and lie on the opposite sides of the line and k is an integer. If the points and lie on the same side of the line , then the perp26 May, 2025 (M)Straight Lines
  9. 9If the incentre of the triangle formed by the lines , is , then26 May, 2025 (M)Coordinate System
  10. 10If are the vertices of a then the locus of its centroid is26 May, 2025 (E)Coordinate System
  11. 11If the axes are translated to the orthocentre of the triangle formed by the points , then the coordinates of the incentre of the triangle in26 May, 2025 (E)Coordinate System
  12. 12The angle made by a line L with positive X - axis measured in the positive direction is and the intercept made by on - axis is negative. If 26 May, 2025 (E)Point and Line
  13. 13and are two lines having slopes 2 and respectively. If both and are concurrent with the lines and , then sum of the absolute values of the i26 May, 2025 (E)Straight Lines
  14. 14The Lines and intersect the line at P and respectively. The bisector of the angle between and divides the line segment PQ internally at R . 26 May, 2025 (E)Angle between Lines
  15. 15is a fixed point and is a parameter such that . If is a point on the circle and is a point on the circle , then the locus of the centroid of24 May, 2025 (M)Locus
  16. 16The point undergoes the following transformations in succession : (i) origin is shifted to the point by translation of axes (ii) translation24 May, 2025 (M)Coordinate System
  17. 17and are two parallel lines. If are the intercepts made by and are the intercepts made by on the - coordinate axes respectively, then the equ24 May, 2025 (M)Basic Forms of Straight Line
  18. 18If is the image of the point with respect to the line , then24 May, 2025 (M)Point and Line
  19. 19When the axes are rotated through an angle about origin in anticlockwise direction and then translated to the new origin , if the transforme23 May, 2025 (M)Coordinate System
  20. 20If the perpendicular distances from the points and on to the line are equal and then sum of all possible values of and is23 May, 2025 (M)Point and Line
  21. 21The equation of the base of an equilateral triangle is and its opposite vertex is . If are the slopes of the other two sides and the length 23 May, 2025 (M)Straight Lines
  22. 22If the median AD of the triangle ABC is bisected at E and BE meets AC in F, then23 May, 2025 (E)Coordinate System
  23. 23If the locus of a point which is equidistant from the coordinate axes forms a triangle with the line , then the area of the triangle is23 May, 2025 (E)Locus
  24. 24is a point on the line . If the points on the line that are 10 units away from the point are and , then23 May, 2025 (E)Point and Line
  25. 25If is the angle made by the perpendicular drawn from origin to the line with the positive -axis in anti-clockwise direction, then23 May, 2025 (E)Basic Forms of Straight Line
  26. 26A straight line passing through a fixed point intersects the coordinate axes at points and . If is the origin and is a variable point such t22 May, 2025 (M)Locus
  27. 27If is the foot of the perpendicular drawn from the origin to the line which meets the and -axes at and respectively, then22 May, 2025 (M)Point and Line
  28. 28If are three fixed points, then the equation of the locus of a point such that area of is equal to area of is22 May, 2025 (E)Locus
  29. 29A line passing through the point of intersection of the lines and is parallel to the Line . If passes through origin and also through the po22 May, 2025 (E)Point and Line
  30. 30If the lines and are concurrent at , then equation of the line concurrent with the given lines and perpendicular to is22 May, 2025 (E)Concurrency & Family of Lines
  31. 31If the distance of a variable point P from a point is twice the distance of P from Y -axis, then the equation of locus of P is21 May, 2025 (M)Locus
  32. 32is a point on the line . If and are two points on this line lying on either side of at a distance of 4 units from , then21 May, 2025 (M)Point and Line
  33. 33If the straight line bisects the angle between two other straight lines one of which is , then the equation of the other straight line is21 May, 2025 (M)Angle bisector
  34. 34If is a variable point which is at a distance of 2 units from the line and units from the point , then the equation of the locus of P is21 May, 2025 (E)Locus
  35. 35If the equation is the transformed equation of after shifting the origin to the point by the translation of axes, then21 May, 2025 (E)Coordinate System
  36. 36If the intercept of a straight line made between the straight lines and is bisected at the point , then the equation of is21 May, 2025 (E)Straight Lines
  37. 37A line passes through the point and makes an angle of with in the positive direction. and are two points lying on at a distance of 4 units f21 May, 2025 (E)Point and Line
  38. 38The locus of the midpoint of the portion of the line intercepted by the coordinate axes, where is a constant, is23 May, 2024 (M)Locus
  39. 39The origin is shifted to the point by translation of axes and then the coordinate axes are rotated about the origin through an angle in the 23 May, 2024 (M)Coordinate System
  40. 40If the straight line passing through makes an angle with the positive -axis in anticlockwise direction and meets the line at Q , then the le23 May, 2024 (M)Point and Line
  41. 41The equations of the perpendicular bisectors of the sides AB and AC of are and respectively. If the coordinates of are , then the equation o23 May, 2024 (M)Derived Forms of Line
  42. 42A pair of lines drawn through the origin forms a right angled isosceles triangle with right angle at the origin with the line . The area (in23 May, 2024 (M)Coordinate System
  43. 43The equation of the locus of points which are equidistant from the points and is22 May, 2024 (M)Locus
  44. 44The equation of the side of an equilateral triangle is and one vertex is . The length of the side is22 May, 2024 (M)Point and Line
  45. 45The orthocentre of the triangle formed by lines and is22 May, 2024 (M)Angle between Lines
  46. 46The locus of a variable point which forms a triangle of fixed area with two fixed points is22 May, 2024 (E)Locus
  47. 47A line L passing through the point cuts the line and respectively at Q and R such that , then slope of the line is22 May, 2024 (E)Basic Forms of Straight Line
  48. 48If the reflection of a point in X -axis is B ; reflection of B in the line is C and the reflection of C in is D then the point of intersecti22 May, 2024 (E)Basic Forms of Straight Line
  49. 49In a triangle, if the angles are in the ratio , then the ratio of its sides is21 May, 2024 (M)Coordinate System
  50. 50In a triangle ABC , if , then the length of the median drawn from B onto AC is21 May, 2024 (M)Coordinate System

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 516 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Straight Lines has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 516 questions across 93 papers - about 6 per paper it appears in.

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

Of the 516 questions analysed for this chapter, 44% are easy, 45% moderate and 12% tough. 2021 had the most, with 68 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 192 questions (37%)
  • Basic Forms of Straight Line - 66 questions (13%)
  • Locus - 65 questions (13%)
  • Coordinate System has produced the most tough questions (24).
6.Is Straight Lines's weightage in AP EAMCET going up or down?

Across all 93 papers analysed, Straight Lines has averaged about 5.5 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 5.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.