Mathematics - Straight Lines
Practise 10 NEST (NISER) previous year questions on Straight Lines, compiled from papers spanning 2014 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 NEST (NISER) tests.
Straight Lines has been asked in 7 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 10 questions in all. 0% of them were easy, 70% moderate and 30% tough. Most of its questions came from 2023, with 2 questions that year. In the last three years (2024–2026) it had 1 question across 4 papers, about 0.3 per paper.
The chapter's 4 topics are not weighted equally: Coordinate System (5 questions, 50%), Locus (2 questions, 20%), and Basic Forms of Straight Line (2 questions, 20%) have been asked the most. Coordinate System has also led over the last five years, with 2 questions. Coordinate System has produced the most tough questions (2).
- 1Let a variable line meet -axis and -axis at points A and B, respectively. Suppose the distance of the line from the origin is units. Then th2026Basic Forms of Straight Line
- 2Let be a triangle with and . Let be a point on the segment such that and be a point on the segment such that . Let be the midpoint of . Let 2023 (Session 1)Coordinate System
- 3Let be a point in the Euclidean plane, with and nonzero. For any point on the -axis, let be the point of intersection of the line with the -2023 (Session 2)Coordinate System
- 4Consider the set of lines in the plane at a unit distance from origin and intersecting both -axis and -axis. Let be the set of mid points of2022 (Session 2)Locus
- 5Denote Area and by area of the triangle , perimeter of the triangle and length of the line segment respectively. Let be a convex quadrangle 2020 (Session 1)Coordinate System
- 6Let be a trapezium where and . Suppose the length of the sides AB and CD are 3 and 5 units respectively and the coordinate of B and C are an2020 (Session 2)Position of a point
- 7A variable line in a plane passes through a fixed point and meets the coordinate axes at points and . Then the locus of the mid-point of is2019 (Session 1)Locus
- 8The -intercepts of three parallel lines are , and the sum of their -intercepts is 36. Then the slope of these three parallel lines is2019 (Session 1)Basic Forms of Straight Line
- 9Let be a rectangle and be the midpoint of . Suppose and meet at and meet at and meet at . Then2018Coordinate System
- 10Let be the point in -plane and be a point on the -axis such that has slope . Then the locus of the midpoint of as varies over all real numbe2014Coordinate System
Frequently Asked Questions
1.How many questions are available for Straight Lines?
This chapter includes 10 questions compiled from NEST (NISER) papers spanning 2014 to 2026.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) 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 NEST (NISER) Mathematics?
Straight Lines has appeared in 7 of the 16 years of NEST (NISER) papers covered here, with 10 questions across 9 papers - about one per paper it appears in.
4.What is the difficulty level of Straight Lines questions in NEST (NISER)?
Of the 10 questions analysed for this chapter, 0% are easy, 70% moderate and 30% tough. 2023 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 - 5 questions (50%)
- Locus - 2 questions (20%)
- Basic Forms of Straight Line - 2 questions (20%)
- Coordinate System has produced the most tough questions (2).
6.Is Straight Lines's weightage in NEST (NISER) going up or down?
Across all 9 papers analysed, Straight Lines has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.