Mathematics - Three Dimensional Geometry
Practise 5 NEST (NISER) previous year questions on Three Dimensional Geometry, compiled from papers spanning 2019 to 2025. 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.
Three Dimensional Geometry has been asked in 4 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 5 questions in all. 0% of them were easy, 80% moderate and 20% tough. Most of its questions came from 2025, with 2 questions that year. In the last three years (2024–2026) it had 2 questions across 4 papers, about 0.5 per paper.
The chapter's 2 topics are not weighted equally: Line in Space (3 questions, 60%) and Basics of point in 3 dimension (2 questions, 40%) have been asked the most. Line in Space has also led over the last five years, with 2 questions. Basics of point in 3 dimension has produced the most tough questions (1).
- 1Let and be two lines in the 3-dimensional space. The line is defined by the equations and the line is defined by the equations where is a no2025Line in Space
- 2Let and be points in . Then the distance between the lines AB and OC is2025Line in Space
- 3The real values of for which the points and are coplanar are:2021 (Session 2)Line in Space
- 4For , define . For and , the maximum value of satisfying is2020 (Session 1)Basics of point in 3 dimension
- 5A variable sphere of constant radius passes through the point and touches the -plane. The locus of the centre of the sphere is2019 (Session 2)Basics of point in 3 dimension
Frequently Asked Questions
1.How many questions are available for Three Dimensional Geometry?
This chapter includes 5 questions compiled from NEST (NISER) papers spanning 2019 to 2025.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) questions specifically for the Three Dimensional Geometry chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Three Dimensional Geometry an important chapter for NEST (NISER) Mathematics?
Three Dimensional Geometry has appeared in 4 of the 16 years of NEST (NISER) papers covered here, with 5 questions across 4 papers - about one per paper it appears in.
4.What is the difficulty level of Three Dimensional Geometry questions in NEST (NISER)?
Of the 5 questions analysed for this chapter, 0% are easy, 80% moderate and 20% tough. 2025 had the most, with 2 questions.
5.Which topics in Three Dimensional Geometry should I focus on?
These topics have carried the most weightage in Three Dimensional Geometry:
- Line in Space - 3 questions (60%)
- Basics of point in 3 dimension - 2 questions (40%)
- Basics of point in 3 dimension has produced the most tough questions (1).
6.Is Three Dimensional Geometry's weightage in NEST (NISER) going up or down?
Across all 4 papers analysed, Three Dimensional Geometry has averaged about 1.3 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.