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Mathematics - Straight Lines

Practise 31 KCET 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 KCET tests.

Straight Lines has been asked in 19 of the 20 years of KCET papers analysed (2007–2026), with 31 questions in all. 48% of them were easy, 35% moderate and 16% tough. Most of its questions came from 2013, with 3 questions that year. In the last three years (2024–2026) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 7 topics are not weighted equally: Coordinate System (12 questions, 39%), Angle between Lines (7 questions, 23%), and Basic Forms of Straight Line (6 questions, 19%) have been asked the most. Coordinate System has also led over the last five years, with 3 questions. Coordinate System has produced the most tough questions (2).

  1. 1The area of the triangle with vertices and is , then the value of is2026Coordinate System
  2. 2The line passing through divides the line segment joining the points and in the ratio internally. The equation of line is:2026Coordinate System
  3. 3A line passes through and perpendicular to . Its intercept is2025Angle between Lines
  4. 4The angle between the line and the line joining the points and is2024Angle between Lines
  5. 5A line passes through and is perpendicular to the line . Its -intercept is2023Basic Forms of Straight Line
  6. 6The area of a triangle with vertices , and is 9 sq units, find the value of is2023Coordinate System
  7. 7If the straight line is perpendicular to the line passing through the points and , then equals2022Angle between Lines
  8. 8The equation of straight line which passes through the point and perpendicular to is2021Basic Forms of Straight Line
  9. 9A line cuts off equal intercepts on the co-ordinate axes. The angle made by this line with the positive direction of \( X \)-axis is2019Angle between Lines
  10. 10The locus represented by \( x y+y z=0 \) is2018Locus
  11. 11The equation of the line parallel to the line \( 3 x-4 y+2=0 \) and passing through \( (-2,3) \) is2018Basic Forms of Straight Line
  12. 12The probability distribution of X is2017Angle between Lines
  13. 13If the straight lines \( 2 x+3 y-3=0 \) and \( x+k y+7=0 \) are perpendicular, then the value of \( k \) is2016Angle between Lines
  14. 14If the \( 2^{ {nd }} \) and \( 5^{ {th }} \) terms of G.P. are \( 24 \) and \( 3 \) respectively, then the sum of \( 1^{ {st }} \) six terms2015Basic Forms of Straight Line
  15. 15The tangent to the curve \( y=x^{3}+1 \) at \( (1,2) \) makes an angle \( \) with y axis, then the value of \( \) is2014Point and Line
  16. 16If the line is parallel to -axis, then is equal to2013Angle between Lines
  17. 17The minimum area of the triangle formed by the variable line and the coordinate axes is2013Basic Forms of Straight Line
  18. 18are two points. The locus of the centroid of , where is the origin, is2013Coordinate System
  19. 19The points and are the mid-points of the sides of the triangle. Then, the centroid is2012Coordinate System
  20. 20The reflection of the point along the line is2012Point and Line
  21. 21The points and form a/an2011Coordinate System
  22. 22If lines represented by , and are concurrent, then the value of is2011Concurrency & Family of Lines
  23. 23The line joining and is divided into 4 equal parts by the points and such that . The mid point of is2010Coordinate System
  24. 24Let and be three points. The equation of the bisector of the angle PQR is2010Angle bisector
  25. 25The foot of the perpendicular from the point upon is2009Point and Line
  26. 26The vertices of a triangle are and . The distance between its circumcentre and centroid is2009Coordinate System
  27. 27The centroid of the triangle , where and is2008Coordinate System
  28. 28A variable line is such that . The locus of the mid point of the portion of the line intercepted between the axes is2008Basic Forms of Straight Line
  29. 29is a triangle with . The area of the circumcircle of the triangle is2007Coordinate System
  30. 30is triangle, is the centroid, is the mid-point of . If and , then the point is2007Coordinate System
  31. 31The orthocentre of the triangle with vertices is2007Coordinate System

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 31 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Straight Lines has appeared in 19 of the 20 years of KCET papers covered here, with 31 questions across 19 papers - about 2 per paper it appears in.

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

Of the 31 questions analysed for this chapter, 48% are easy, 35% moderate and 16% tough. 2013 had the most, with 3 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 12 questions (39%)
  • Angle between Lines - 7 questions (23%)
  • Basic Forms of Straight Line - 6 questions (19%)
  • Coordinate System has produced the most tough questions (2).
6.Is Straight Lines's weightage in KCET going up or down?

Across all 19 papers analysed, Straight Lines has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.