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Mathematics - Straight Lines

Practise 39 Manipal (MET) previous year questions on Straight Lines, compiled from papers spanning 2010 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Straight Lines has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 39 questions in all. 54% of them were easy, 41% moderate and 5% tough. Most of its questions came from 2019, with 6 questions that year. In the last three years (2022–2024) it had 1 question across 1 paper, about 1 per paper.

The chapter's 8 topics are not weighted equally: Basic Forms of Straight Line (10 questions, 26%), Coordinate System (10 questions, 26%), and Point and Line (9 questions, 23%) have been asked the most. Over the last five years the most frequent topics have been Angle between Lines (3), Basic Forms of Straight Line (2), and Coordinate System (2). Basic Forms of Straight Line has produced the most tough questions (1).

  1. 1If the angle between the pair of straight lines formed by joining the points of intersection of and to the origin is a right angle, then is2024Angle between Lines
  2. 2The point on the line equidistant from and is2021Point and Line
  3. 3If are the vertices of a parallelogram . The equation to the diagonal through is2021Basic Forms of Straight Line
  4. 4A line cuts off on the coordinate axes positive intercepts whose sum is 4 . If it passes through , its equation is2021Basic Forms of Straight Line
  5. 5The ratio in which the segment joining and is divided by the line is2021Coordinate System
  6. 6The equation to the line through the point of intersection of and perpendicular to is2021Derived Forms of Line
  7. 7If point divides the base ; of a in the ratio , then the value of is2020Coordinate System
  8. 8The value of the angle between two straight lines and is2020Angle between Lines
  9. 9If and are vertices of a , then angles of are2020Angle between Lines
  10. 10The three lines of a triangle are given by . If the point lies inside and lies outside the triangle, then2020Position of a point
  11. 11The distance of the line from the point measured parallel to the line is2019Point and Line
  12. 12The equation of bisectors of the angles between the lines are2019Angle bisector
  13. 13The base of vertices of an isosceles triangle are and . The vertex can be2019Coordinate System
  14. 14The locus of the point satisfying the relation2019Locus
  15. 15The vertex connectivity of any tree is2019Coordinate System
  16. 16The adjoining graph2019Coordinate System
  17. 17The product of the perpendicular from to the pair of lines is2018Point and Line
  18. 18If are the vertices of a parallelogram . The equation to the diagonal through is2018Basic Forms of Straight Line
  19. 19In a tree on a vertices there is exactly one vertex with degree 2 and remaining vertices are of degree either 1 or 3 . Then the number of pe2017Coordinate System
  20. 20The foot of the perpendicular from to the line2017Point and Line
  21. 21The intercepts on the straight line by the line and is less than 5, then belongs to2016Basic Forms of Straight Line
  22. 22A line passing through origin and is perpendicular to two given lines and . The ratio in which the origin divides this line, is2016Basic Forms of Straight Line
  23. 23The distance of the point from the line in the direction of the line , is2015Point and Line
  24. 24The equations of the straight lines passing through the point and making intercepts on the coordinate axes whose sum is -1 , is2015Basic Forms of Straight Line
  25. 25One possible condition for the three points and to be collinear, is2015Point and Line
  26. 26The distance of the point from measured parallel to is2014Point and Line
  27. 27A perpendicular is drawn from the point to the line . The equation of the perpendicular from to the given line is2014Derived Forms of Line
  28. 28The number of rational values of for which the -coordinate of the point of intersection of the lines and is an integer is2013Basic Forms of Straight Line
  29. 29A straight line cuts intercepts from the axis of coordinates the sum of the reciprocals of which is a constant . Then it always passes throu2013Basic Forms of Straight Line
  30. 30If the line moves in such a way that where, is a constant, then the locus of the foot of perpendicular from the origin on the straight line 2013Locus
  31. 31The pair of lines are rotated about the origin by in the anticlockwise sense. The equation of the pair in the new position is2013Coordinate System
  32. 32The line is translated parallel to itself by 3 unit in the sense of increasing and then rotated by in the anti-clockwise direction about the2011Derived Forms of Line
  33. 33The ratio in which the line divides the distance between and , is2011Coordinate System
  34. 34One diagonal of a square is along the line and one of its vertex is . Then, the equation of the sides of the square passing through this ver2011Basic Forms of Straight Line
  35. 35If the axes be turned through an angle . What does the equation become?2010Coordinate System
  36. 36If and are distinct, the points , are collinear, if2010Point and Line
  37. 37The distance of the point from the line measured along a line is2010Point and Line
  38. 38The equation of the straight line which passes through the intersection of the lines and and is parallel to -axis, is2010Basic Forms of Straight Line
  39. 39If the straight line , and are the sides of rhombus, then2010Coordinate System

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 39 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Straight Lines has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 39 questions across 12 papers - about 3 per paper it appears in.

4.What is the difficulty level of Straight Lines questions in Manipal (MET)?

Of the 39 questions analysed for this chapter, 54% are easy, 41% moderate and 5% tough. 2019 had the most, with 6 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Basic Forms of Straight Line - 10 questions (26%)
  • Coordinate System - 10 questions (26%)
  • Point and Line - 9 questions (23%)
  • Basic Forms of Straight Line has produced the most tough questions (1).
6.Is Straight Lines's weightage in Manipal (MET) going up or down?

Across all 12 papers analysed, Straight Lines has averaged about 3.3 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.