Mathematics - Hyperbola
Practise 13 JEE Advanced previous year questions on Hyperbola, compiled from papers spanning 2006 to 2022. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Advanced tests.
Hyperbola has been asked in 11 of the 27 years of JEE Advanced papers analysed (2000–2026), with 13 questions in all. 31% of them were easy, 69% moderate and 0% tough. Most of its questions came from 2011, with 2 questions that year. In the last three years (2024–2026) it had 0 questions across 6 papers, about 0 per paper.
The chapter's 7 topics are not weighted equally: Equation of hyperbola (4 questions, 31%), Tangent to hyperbola (4 questions, 31%), and Locus (1 question, 8%) have been asked the most. Over the last five years the most frequent topics have been Tangent to hyperbola (1).
- 1Consider the hyperbola x 2 100 - y 2 64 = 1 with foci at S and S 1 , where S lies on the positive x -axis. Let P be a point on the hyperbola2022 (Paper 2)Tangent to hyperbola
- 2Let a and b be positive real numbers such that a 1 and b a . Let P be a point in the first quadrant that lies on the hyperbola x 2 a 2 - y 22020 (Paper 2)Tangent to hyperbola
- 3Let H : x 2 a 2 - y 2 b 2 = 1 , where a b 0 , be a hyperbola in the xy-plane whose conjugate axis L M subtends an angle of 60 o at one of it2018 (Paper 2)Equation of hyperbola
- 4If 2 x - y + 1 = 0 is a tangent to the hyperbola x 2 a 2 - y 2 16 = 1 , then which of the following CANNOT be sides of a right angled triang2017 (Paper 1)Line and hyperbola
- 5Consider the hyperbola H : x 2 - y 2 = 1 and a circle S with center N x 2 , 0 . Suppose that H and S touch each other at point P x 1 , y 1 w2015 (Paper 2)Tangent to hyperbola
- 6Tangents are drawn to the hyperbola , parallel to the straight line . The points of contact of the tangents on the hyperbola are2012 (Paper 1)Tangent to hyperbola
- 7Let the eccentricity of the hyperbola be reciprocal to that of the ellipse . If the hyperbola passes through a focus of the ellipse, then2011 (Paper 1)Equation of hyperbola
- 8Let be a point on the hyperbola . If the normal at the point intersects the -axis at , then the eccentricity of the hyperbola is2011 (Paper 2)Normal to hyperbola
- 9Paragraph: The circle and hyperbola intersect at the points and . Question: Equation of a common tangent with positive slope to the circle a2010 (Paper 1)Common Tangent
- 10The line is tangent to the hyperbola . If this line passes through the point of intersection of the nearest directrix and the -axis, then th2010 (Paper 1)Properties of Tangent
- 11Preview not available - open to view this question.2009 (Paper 1)Locus
- 12Consider a branch of the hyperbola with vertex at the point . Let be one of the end points of its latus rectum. If is the focus of the hyper2008 (Paper 2)Equation of hyperbola
- 13If is the eccentricity of the ellipse and is the eccentricity of the hyperbola passing through the focii of the ellipse and , then equation 2006Equation of hyperbola
Frequently Asked Questions
1.How many questions are available for Hyperbola?
This chapter includes 13 questions compiled from JEE Advanced papers spanning 2006 to 2022.
2.Are these questions only from JEE Advanced, or from other exams too?
These are JEE Advanced questions specifically for the Hyperbola chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.
3.Is Hyperbola an important chapter for JEE Advanced Mathematics?
Hyperbola has appeared in 11 of the 21 years of JEE Advanced papers covered here, with 13 questions across 12 papers - about one per paper it appears in.
4.What is the difficulty level of Hyperbola questions in JEE Advanced?
Of the 13 questions analysed for this chapter, 31% are easy, 69% moderate and 0% tough. 2011 had the most, with 2 questions.
5.Which topics in Hyperbola should I focus on?
These topics have carried the most weightage in Hyperbola:
- Equation of hyperbola - 4 questions (31%)
- Tangent to hyperbola - 4 questions (31%)
- Locus - 1 question (8%)
6.Is Hyperbola's weightage in JEE Advanced going up or down?
Across all 12 papers analysed, Hyperbola has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.