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Mathematics - Straight Lines

Practise 15 VITEEE previous year questions on Straight Lines, compiled from papers spanning 2006 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 VITEEE tests.

Straight Lines has been asked in 11 of the 18 years of VITEEE papers analysed (2006–2024), with 15 questions in all. 67% of them were easy, 20% moderate and 13% tough. Most of its questions came from 2024, with 2 questions that year. In the last three years (2022–2024) it had 2 questions across 1 paper, about 2 per paper.

The chapter's 6 topics are not weighted equally: Coordinate System (6 questions, 40%), Basic Forms of Straight Line (4 questions, 27%), and Concurrency & Family of Lines (2 questions, 13%) have been asked the most. Over the last five years the most frequent topics have been Angle bisector (1), Area of Trapezium (1), and Basic Forms of Straight Line (1). Basic Forms of Straight Line has produced the most tough questions (2).

  1. 1In a triangle as shown in the diagram, where and , then perimeter of is2024Angle bisector
  2. 2The length of three sides of a trapezium are equal, each being 10 cms . Then, the maximum area of the trapezium is2024Area of Trapezium
  3. 3If is one vertex and is one diagonal of a square, then the equation of second diagonal is2021Basic Forms of Straight Line
  4. 4The length of longer diagonal of the parallelogram constructed on and , if it is given that and the angle between and is , is2014Coordinate System
  5. 5The line joining two points is rotated about in anti-clockwise direction through an angle of . The equation of the line in the now position,2013Basic Forms of Straight Line
  6. 6A straight line through the point is such that its intercept between the axes is bisected at A, its equation is2012Coordinate System
  7. 7The equation of straight line through the intersection of the lines and and parallel is2012Concurrency & Family of Lines
  8. 8A line passes through and is perpendicular to the line . What is its -intercept?2011Derived Forms of Line
  9. 9If , then the value of is equal to2010Coordinate System
  10. 10If the lines and intersect, then the value of is2010Coordinate System
  11. 11If a line in the space makes angle and with the coordinate axes, then2009Basic Forms of Straight Line
  12. 12A spherical balloon is expanding. If the radius is increasing at the rate of 2 centimeters per minute, the rate at which the volume increase2008Coordinate System
  13. 13The solution of the differential equation is2007Basic Forms of Straight Line
  14. 14What is the least value of such that the function is strictly increasing on2006Coordinate System
  15. 15If , then2006Concurrency & Family of Lines

Frequently Asked Questions

1.How many questions are available for Straight Lines?

This chapter includes 15 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Straight Lines has appeared in 11 of the 18 years of VITEEE papers covered here, with 15 questions across 11 papers - about one per paper it appears in.

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

Of the 15 questions analysed for this chapter, 67% are easy, 20% moderate and 13% tough. 2024 had the most, with 2 questions.

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

These topics have carried the most weightage in Straight Lines:

  • Coordinate System - 6 questions (40%)
  • Basic Forms of Straight Line - 4 questions (27%)
  • Concurrency & Family of Lines - 2 questions (13%)
  • Basic Forms of Straight Line has produced the most tough questions (2).
6.Is Straight Lines's weightage in VITEEE going up or down?

Across all 11 papers analysed, Straight Lines has averaged about 1.4 questions per paper. In the last three years (2022–2024), that average has risen, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.