Mathematics - Three Dimensional Geometry
Practise 5 IAT (IISER) previous year questions on Three Dimensional Geometry, compiled from papers spanning 2018 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 IAT (IISER) tests.
Three Dimensional Geometry has been asked in 5 of the 9 years of IAT (IISER) papers analysed (2017–2026), with 5 questions in all. 20% of them were easy, 40% moderate and 40% tough. Most of its questions came from 2026, with 1 question that year. In the last three years (2023–2026) it had 3 questions across 3 papers, about 1 per paper.
The chapter's 2 topics are not weighted equally: Line in Space (4 questions, 80%) and Direction Cosines and Direction Ratios (1 question, 20%) have been asked the most. Line in Space has also led over the last five years, with 2 questions. Line in Space has produced the most tough questions (2).
- 1Let be the line joining and and let be the line joining and . What is the angle between and ?2026Line in Space
- 2Consider the lines and given below: If is the point of that is closest to , then which point of is closest to ?2024Line in Space
- 3Let be a straight line passing through the origin, and it makes angles , and with the positive and -axes, respectively. What is the value of2023Direction Cosines and Direction Ratios
- 4Let be two planes, and let denote the line of intersection of and . Let be the plane passing through the point , and normal to . Which of th2021Line in Space
- 5Let \( _0\) be the line defined by the vector equation \( {i}+2 {j}+3 {k}+ ( {i}+ {j}+ {k})\), with \( \) real. Which of the following vecto2018Line in Space
Frequently Asked Questions
1.How many questions are available for Three Dimensional Geometry?
This chapter includes 5 questions compiled from IAT (IISER) papers spanning 2018 to 2026.
2.Are these questions only from IAT (IISER), or from other exams too?
These are IAT (IISER) 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 IAT (IISER) Mathematics?
Three Dimensional Geometry has appeared in 5 of the 10 years of IAT (IISER) papers covered here, with 5 questions across 5 papers - about one per paper it appears in.
4.What is the difficulty level of Three Dimensional Geometry questions in IAT (IISER)?
Of the 5 questions analysed for this chapter, 20% are easy, 40% moderate and 40% tough. 2026 had the most, with 1 question.
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 - 4 questions (80%)
- Direction Cosines and Direction Ratios - 1 question (20%)
- Line in Space has produced the most tough questions (2).
6.Is Three Dimensional Geometry's weightage in IAT (IISER) going up or down?
Across all 5 papers analysed, Three Dimensional Geometry has averaged about 1.0 questions per paper. In the last three years (2023–2026), that average has stayed about the same, 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.