Mathematics - Parabola
Practise 5 NEST (NISER) previous year questions on Parabola, compiled from papers spanning 2013 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.
Parabola has been asked in 5 of the 16 years of NEST (NISER) papers analysed (2011–2026), 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 (2024–2026) it had 1 question across 4 papers, about 0.3 per paper.
The chapter's 3 topics are not weighted equally: standard equation of parabola (3 questions, 60%), Tangent to Parabola (1 question, 20%), and Line and parabola (1 question, 20%) have been asked the most. standard equation of parabola has also led over the last five years, with 1 question. standard equation of parabola has produced the most tough questions (2).
- 1The parabola intersects the -axis at points A and B. Further, the parabola intersects the line at points M and N. Then the area of the quadr2026Line and parabola
- 2Let and be two points on the parabola and 0 be the origin . If2023 (Session 1)standard equation of parabola
- 3Let be a point, different from , on the parabola whose focus is at . Let be the foot of the perpendicular drawn from on to the directrix of 2021 (Session 1)standard equation of parabola
- 4The tangents at the extremities of the latus rectum of the parabola meet at2019 (Session 1)Tangent to Parabola
- 5If a line segment is the latus rectum of the parabola and also a latus rectum of the ellipse , then the eccentricity of the ellipse is2013standard equation of parabola
Frequently Asked Questions
1.How many questions are available for Parabola?
This chapter includes 5 questions compiled from NEST (NISER) papers spanning 2013 to 2026.
2.Are these questions only from NEST (NISER), or from other exams too?
These are NEST (NISER) questions specifically for the Parabola chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Parabola an important chapter for NEST (NISER) Mathematics?
Parabola has appeared in 5 of the 16 years of NEST (NISER) papers covered here, with 5 questions across 5 papers - about one per paper it appears in.
4.What is the difficulty level of Parabola questions in NEST (NISER)?
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 Parabola should I focus on?
These topics have carried the most weightage in Parabola:
- standard equation of parabola - 3 questions (60%)
- Tangent to Parabola - 1 question (20%)
- Line and parabola - 1 question (20%)
- standard equation of parabola has produced the most tough questions (2).
6.Is Parabola's weightage in NEST (NISER) going up or down?
Across all 5 papers analysed, Parabola 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.