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Mathematics - Straight Lines

Practise 27 BITSAT previous year questions on Straight Lines, compiled from papers spanning 2009 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 BITSAT tests.

Straight Lines has been asked in 15 of the 16 years of BITSAT papers analysed (2009–2024), with 27 questions in all. 37% of them were easy, 52% moderate and 11% tough. Most of its questions came from 2023, with 4 questions that year. In the last three years (2022–2024) it had 7 questions across 5 papers, about 1.4 per paper.

The chapter's 6 topics are not weighted equally: Point and Line (8 questions, 30%), Concurrency & Family of Lines (7 questions, 26%), and Locus (5 questions, 19%) have been asked the most. Point and Line has also led over the last five years, with 3 questions. Concurrency & Family of Lines has produced the most tough questions (3).

  1. 1The distance from the origin to the image of , 1) with respect to the line is2024 (Memory Based Paper 1)Point and Line
  2. 2If the straight line and form a triangle with origin as orthocentre, then is equal to2024 (Memory Based Paper 2)Concurrency & Family of Lines
  3. 3The locus of the point of intersection of the lines and represent being a parameter)2024 (Memory Based Paper 3)Locus
  4. 4What is the angle between the two straight lines and2023 (Memory Based Paper 1)Angle between Lines
  5. 5If the coordinates of the points and be and , then the length of the portion of the line intercepted between the axes is2023 (Memory Based Paper 1)Basic Forms of Straight Line
  6. 6If is one vertex and is one diagonal of a square, then the equation of second diagonal is2023 (Memory Based Paper 2)Basic Forms of Straight Line
  7. 7The coordinates of the foot of the perpendicular from the point on the line are2023 (Memory Based Paper 2)Point and Line
  8. 8The distance between the parallel lines and is . Value of is2021Point and Line
  9. 9The points and form2021Coordinate System
  10. 10A straight rod of length 9 units slides with its endsA, always on the and Y-axis respectively. Then the locus of the centroid of is:2020Locus
  11. 11The larger of two angles made with the X -axis of a straight line drawn through ( 1 , 2 ) so that it intersects the line x + y = 4 at a poin2019Angle between Lines
  12. 12Straight lines 3 x + 4 y = 5 and 4 x - 3 y = 15 intersect at the point A . If point B and C are chosen on these two lines such that A B = A 2018Locus
  13. 13O P Q R is a square and M , N are the middle points of the sides P Q and Q R respectively, then the ratio of the areas of the square and O M2018Locus
  14. 14Two equal sides of an isosceles triangle are 7 x - y + 3 = 0 and x + y - 3 = 0 and its third side passes through the point ( 1 , - 10 ) . Th2017Locus
  15. 15A ray of light coming from the point (1,2) is reflected at a point A on the -axis and then passes through the point The co-ordinates of the 2016Point and Line
  16. 16If the lines and be concurrent, then the points and2015Concurrency & Family of Lines
  17. 17If and be the length of perpendiculars from the origin upon the straight lines and respectively, then the value of2014Point and Line
  18. 18The value of , for which the lines and are concurrent is2014Concurrency & Family of Lines
  19. 19The quadratic equation whose roots are the and yintercepts of the line passing through (1,1) and making a triangle of area with the co-ordin2013Basic Forms of Straight Line
  20. 20If the family of lines is concurrent at one or the other of the two points-2013Concurrency & Family of Lines
  21. 21If the lines and are concurrent then2013Concurrency & Family of Lines
  22. 22The nearest point on the line from the origin is2012Point and Line
  23. 23The distance of the point \((-1,1)\) from the line \(12(x+6)=5(y-2)\) is2011Point and Line
  24. 24The family of straight lines \((2 a+3 b) x+(a-b) y+2 a-4 b=0\) is concurrent at the point2011Concurrency & Family of Lines
  25. 25If \( {m}\) arithmetic means are inserted between 1 and 31 so that the ratio of the \(7^{ {th }}\) and \(( {m}-1)^{ {th }}\) means is \(5: 92010Point and Line
  26. 26The reflection of the point \((4,-13)\) in the line \(5 x+y+6=0\), is2010Concurrency & Family of Lines
  27. 27The \(100^{ {th }}\) term of the sequence \(1,2,2,3,3,3,4,4\), \(4,4, \) is2009Basic Forms of Straight Line

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 27 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Straight Lines has appeared in 15 of the 16 years of BITSAT papers covered here, with 27 questions across 18 papers - about 2 per paper it appears in.

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

Of the 27 questions analysed for this chapter, 37% are easy, 52% moderate and 11% tough. 2023 had the most, with 4 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Point and Line - 8 questions (30%)
  • Concurrency & Family of Lines - 7 questions (26%)
  • Locus - 5 questions (19%)
  • Concurrency & Family of Lines has produced the most tough questions (3).
6.Is Straight Lines's weightage in BITSAT going up or down?

Across all 18 papers analysed, Straight Lines has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.4 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.