Mathematics - Circle
Practise 4 IAT (IISER) previous year questions on Circle, compiled from papers spanning 2019 to 2023. 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.
Circle has been asked in 4 of the 9 years of IAT (IISER) papers analysed (2017–2026), with 4 questions in all. 25% of them were easy, 75% moderate and 0% tough. Most of its questions came from 2023, with 1 question that year. In the last three years (2023–2026) it had 1 question across 3 papers, about 0.3 per paper.
The chapter's 3 topics are not weighted equally: Tangent to circle (2 questions, 50%), Equation of Circle & its intercept (1 question, 25%), and Locus (1 question, 25%) have been asked the most. Tangent to circle has also led over the last five years, with 1 question.
- 1What is the locus of the center of circles passing through the origin with fixed radius?2023Locus
- 2Consider the tangent lines to the circle at points and . If is the point of intersection of these two tangent lines, then is:2022Tangent to circle
- 3Let be a circle which passes through and and whose centre lies on the line . Then which of the following points lies on ?2020Equation of Circle & its intercept
- 4Consider the circle that passes through the points and having the smallest area. Then, the equation of the tangent to the circle at is2019Tangent to circle
Frequently Asked Questions
1.How many questions are available for Circle?
This chapter includes 4 questions compiled from IAT (IISER) papers spanning 2019 to 2023.
2.Are these questions only from IAT (IISER), or from other exams too?
These are IAT (IISER) questions specifically for the Circle chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Circle an important chapter for IAT (IISER) Mathematics?
Circle has appeared in 4 of the 10 years of IAT (IISER) papers covered here, with 4 questions across 4 papers - about one per paper it appears in.
4.What is the difficulty level of Circle questions in IAT (IISER)?
Of the 4 questions analysed for this chapter, 25% are easy, 75% moderate and 0% tough. 2023 had the most, with 1 question.
5.Which topics in Circle should I focus on?
These topics have carried the most weightage in Circle:
- Tangent to circle - 2 questions (50%)
- Equation of Circle & its intercept - 1 question (25%)
- Locus - 1 question (25%)
6.Is Circle's weightage in IAT (IISER) going up or down?
Across all 4 papers analysed, Circle has averaged about 1.0 questions per paper. In the last three years (2023–2026), 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.