Mathematics - Parabola
Practise 19 NDA previous year questions on Parabola, 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 NDA tests.
Parabola has been asked in 10 of the 21 years of NDA papers analysed (2006–2026), with 19 questions in all. 26% of them were easy, 68% moderate and 5% tough. Most of its questions came from 2022, with 3 questions that year. In the last three years (2024–2026) it had 3 questions across 5 papers, about 0.6 per paper.
The chapter's 5 topics are not weighted equally: standard equation of parabola (15 questions, 79%), Line and parabola (1 question, 5%), and Position of point (1 question, 5%) have been asked the most. standard equation of parabola has also led over the last five years, with 6 questions. standard equation of parabola has produced the most tough questions (1).
- 1A tangent to the parabola is inclined at an angle with the positive direction of -axis. What is the point of contact of the tangent and the 2025 (Phase 1)Tangent to Parabola
- 2Consider the following statements in respect of the equation : I. The equation represents the equation to parabola that opens upwards. II. T2025 (Phase 2)standard equation of parabola
- 3In the parabola , the focal distance of a point P lying on it is 8 units. Which of the following statements is/are correct? 1. The coordinat2024 (Phase 1)standard equation of parabola
- 4What is the equation of directrix of parabola , where and ?2023 (Phase 2)standard equation of parabola
- 5The area of the region bounded by the parabola , where and its latus rectum is 24 square units. What is the value of ?2022 (Phase 1)standard equation of parabola
- 6What is the equation of the parabola with focus and directrix ?2022 (Phase 1)standard equation of parabola
- 7An equilateral triangle is inscribed in a parabola where one vertex of the triangle is at the vertex of the parabola. If is the length of si2022 (Phase 2)standard equation of parabola
- 8The two ends of the latus rectum of a parabola are and What is the maximum number of parabolas that can be drawn through these two points as2021 (Phase 2)standard equation of parabola
- 9The two ends of the latus rectum of a parabola are and Consider the following statements in respect of such parabolas: 1. One of the parabol2021 (Phase 2)standard equation of parabola
- 10In the parabola, , what is the length of the chord passing through the vertex and inclined to the -axis at an angle ?2020Chord of parabola
- 11The two parabolas and intersect2019 (Phase 1)standard equation of parabola
- 12The minimum distance from the point to is equal to2019 (Phase 1)Position of point
- 13What is the equation of parabola whose vertex is at and focus is at ?2014 (Phase 1)standard equation of parabola
- 14The line cuts the parabola . Where does the line cut the parabola?2014 (Phase 2)Line and parabola
- 15What is the area of the parabola bounded by its latus rectum?2014 (Phase 2)standard equation of parabola
- 16What is the area of the parabola bounded by its latus rectum?2013 (Phase 1)standard equation of parabola
- 17The axis of the parabola is2013 (Phase 2)standard equation of parabola
- 18What is the area of the triangle formed by the lines joining the vertex of the parabola to the ends of the latus rectum?2011 (Phase 2)standard equation of parabola
- 19What is the focal distance of any point on the parabola2011 (Phase 2)standard equation of parabola
Frequently Asked Questions
1.How many questions are available for Parabola?
This chapter includes 19 questions compiled from NDA papers spanning 2011 to 2025.
2.Are these questions only from NDA, or from other exams too?
These are NDA 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 NDA Mathematics?
Parabola has appeared in 10 of the 17 years of NDA papers covered here, with 19 questions across 14 papers - about one per paper it appears in.
4.What is the difficulty level of Parabola questions in NDA?
Of the 19 questions analysed for this chapter, 26% are easy, 68% moderate and 5% tough. 2022 had the most, with 3 questions.
5.Which topics in Parabola should I focus on?
These topics have carried the most weightage in Parabola:
- standard equation of parabola - 15 questions (79%)
- Line and parabola - 1 question (5%)
- Position of point - 1 question (5%)
- standard equation of parabola has produced the most tough questions (1).
6.Is Parabola's weightage in NDA going up or down?
Across all 14 papers analysed, Parabola has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.