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Mathematics - Hyperbola

Practise 22 VITEEE previous year questions on Hyperbola, compiled from papers spanning 2006 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty VITEEE tests.

Hyperbola has been asked in 15 of the 18 years of VITEEE papers analysed (2006–2024), with 22 questions in all. 27% of them were easy, 41% moderate and 32% tough. Most of its questions came from 2023, with 2 questions that year. In the last three years (2022–2024) it had 4 questions across 3 papers, about 1.3 per paper.

The chapter's 8 topics are not weighted equally: Equation of hyperbola (9 questions, 41%), Normal to hyperbola (4 questions, 18%), and Auxillary Circle (2 questions, 9%) have been asked the most. Equation of hyperbola has also led over the last five years, with 2 questions. Equation of hyperbola has produced the most tough questions (3).

  1. 1If is the eccentricity of hyperbola and is the angle between the asymptotes, then is2024Equation of hyperbola
  2. 2If the eccentricity of the hyperbola \(x^2-y^2 ^2 =4\) is \( {3}\) times the eccentricity of the ellipse \(x^2 ^2 +y^2=16\), then the value 2023Equation of hyperbola
  3. 3If \(e_1\) is the eccentricity of the ellipse \( {x^2}{16}+ {y^2}{25}=1\) and \(e_2\) is the eccentricity of the hyperbola passing through t2023Locus
  4. 4\( {P}\) is a variable point on the hyperbola \( {x^2}{a^2}- {y^2}{b^2}=1\) whose vertex is \(A(a, 0)\) The locus of the middle point of AP 2022Locus
  5. 5The equation of the chord of the hyperbola that is bisected at point is:2019Chord with given Middle Point
  6. 6The equation of the hyperbola with vertices and semi-latus rectum 4 is given by :2018Equation of hyperbola
  7. 7The combined equation of the asymptotes of the hyperbola is2018Asymptotes
  8. 8Equation represents2017Equation of hyperbola
  9. 9If the eccentricity of the hyperbola is times the eccentricity of the ellipse then is equal to :2017Equation of hyperbola
  10. 10Which of the following is INCORRECT for the hyperbola2016Equation of hyperbola
  11. 11If the rectangular hyperbola is . Then, which of the following is not correct?2015Equation of hyperbola
  12. 12The equation of tangents to the hyperbola , which is perpendicular to the line , are2015Line and hyperbola
  13. 13If the line will be a normal to the hyperbola, then , where is equal to2014Normal to hyperbola
  14. 14The line is a tangent to the curve . The point of contact is2013Line and hyperbola
  15. 15If is a double ordinate of hyperbola Such that is an equilateral triangle, being the centre of the hyperbola, then the eccentricity ' ' of t2013Tangent to hyperbola
  16. 16If is function such that , for , then is equal to2010Normal to hyperbola
  17. 17If the circle intersects the hyperbola in four points for and 4, then equals2009Auxillary Circle
  18. 18The mid point of the chord of the hyperbola is2009Equation of hyperbola
  19. 19If be three unit vectors such that and being non-parallel. If is the angle between and and is the angle between and , then2008Normal to hyperbola
  20. 20If and , then the value of is equal to2007Auxillary Circle
  21. 21The differential equation of the system of all circles of radius in the plane is2007Equation of hyperbola
  22. 22The value of the integral2006Normal to hyperbola

Frequently Asked Questions

1.How many questions are available for Hyperbola?

This chapter includes 22 questions compiled from VITEEE papers spanning 2006 to 2024.

2.Are these questions only from VITEEE, or from other exams too?

These are VITEEE 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 VITEEE Mathematics?

Hyperbola has appeared in 15 of the 18 years of VITEEE papers covered here, with 22 questions across 15 papers - about one per paper it appears in.

4.What is the difficulty level of Hyperbola questions in VITEEE?

Of the 22 questions analysed for this chapter, 27% are easy, 41% moderate and 32% tough. 2023 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 - 9 questions (41%)
  • Normal to hyperbola - 4 questions (18%)
  • Auxillary Circle - 2 questions (9%)
  • Equation of hyperbola has produced the most tough questions (3).
6.Is Hyperbola's weightage in VITEEE going up or down?

Across all 15 papers analysed, Hyperbola has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.3 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.