Mathematics - Ellipse
Practise 8 NEST (NISER) previous year questions on Ellipse, compiled from papers spanning 2011 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.
Ellipse has been asked in 8 of the 16 years of NEST (NISER) papers analysed (2011–2026), with 8 questions in all. 25% of them were easy, 63% moderate and 13% tough. Most of its questions came from 2025, with 1 question that year. In the last three years (2024–2026) it had 1 question across 4 papers, about 0.3 per paper.
The chapter's 3 topics are not weighted equally: Equation of Ellipse (6 questions, 75%), Chord of ellipse (1 question, 13%), and Ellipse (1 question, 13%) have been asked the most. Over the last five years the most frequent topics have been Ellipse (1). Chord of ellipse has produced the most tough questions (1).
- 1An ellipse has the points and as foci. If the ellipse touches the -axis then its eccentricity is2025Ellipse
- 2Let with be a point on the ellipse , (where ), whose foci are and . The normal at intersects the major axis at . If then equals2021 (Session 2)Equation of Ellipse
- 3The sum of the focal distances of any point on an ellipse is equal to the length of the2019 (Session 2)Equation of Ellipse
- 4Let be an ellipse and let and be its two foci. Let be a point on the circumference of the ellipse that is neither on the major axis nor on t2017Chord of ellipse
- 5For a positive real number let be the ellipse with equation where . All members of the family of ellipses have the same2016Equation of Ellipse
- 6Let and be the two foci of the ellipse with . If the latus rectum through subtends at then the eccentricity of the ellipse is2015Equation of Ellipse
- 7The major axis of the ellipse is equal to the latus rectum of the parabola . The eccentricity of the ellipse is2014Equation of Ellipse
- 8Let be the origin and let be the intersection points of the ellipse with the -axis and be with -axis such that are in anti-clockwise directi2011Equation of Ellipse
Frequently Asked Questions
1.How many questions are available for Ellipse?
This chapter includes 8 questions compiled from NEST (NISER) papers spanning 2011 to 2025.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) questions specifically for the Ellipse chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Ellipse an important chapter for NEST (NISER) Mathematics?
Ellipse has appeared in 8 of the 16 years of NEST (NISER) papers covered here, with 8 questions across 8 papers - about one per paper it appears in.
4.What is the difficulty level of Ellipse questions in NEST (NISER)?
Of the 8 questions analysed for this chapter, 25% are easy, 63% moderate and 13% tough. 2025 had the most, with 1 question.
5.Which topics in Ellipse should I focus on?
These topics have carried the most weightage in Ellipse:
- Equation of Ellipse - 6 questions (75%)
- Chord of ellipse - 1 question (13%)
- Ellipse - 1 question (13%)
- Chord of ellipse has produced the most tough questions (1).
6.Is Ellipse's weightage in NEST (NISER) going up or down?
Across all 8 papers analysed, Ellipse has averaged about 1.0 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.