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Mathematics - Hyperbola

Practise 12 Manipal (MET) previous year questions on Hyperbola, compiled from papers spanning 2010 to 2021. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Hyperbola has been asked in 7 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 12 questions in all. 42% of them were easy, 50% moderate and 8% tough. Most of its questions came from 2010, with 3 questions that year.

The chapter's 6 topics are not weighted equally: Equation of hyperbola (5 questions, 42%), Asymptotes (2 questions, 17%), and Diameter to hyperbola (2 questions, 17%) have been asked the most. Equation of hyperbola has also led over the last five years, with 1 question. Asymptotes has produced the most tough questions (1).

  1. 1The eccentricity of the conic is2021Equation of hyperbola
  2. 2The difference of the focal distance of any point on the hyperbola is equal to its2017Equation of hyperbola
  3. 3Consider the hyperbola the area of the triangle formed by the asymptotes and the tangent drawn to it at is2017Asymptotes
  4. 4All the chords of the hyperbola , subtending a right angle at the origin pass through the fixed point2016Chord of hyperbola
  5. 5If the chords of the hyperbola touch the parabola . Then, the locus of the middle points of these chords is2014Common Tangent
  6. 6Which one of the following is independent of in the hyperbola2013Equation of hyperbola
  7. 7If is a double ordinate of the hyperbola such that is an equilateral triangle, bing the centre of the hyperbola, then the eccentricity of th2013Equation of hyperbola
  8. 8The distance between the foci of a hyperbola is double the distance between its vertices and the length of its conjugate axis is 6 .The equa2011Equation of hyperbola
  9. 9The diameter of which is conjugate to is2011Diameter to hyperbola
  10. 10If the equation represents a pair conjugate diameter of the hyperbola , then2010Diameter to hyperbola
  11. 11If is the eccentricity of the hyperbola and is the angle between the asymptotes, then is equal to2010Asymptotes
  12. 12The tangent and normal to a rectangular hyperbola at a point cuts off intercepts and on one axis and on the other, then is equal to2010Tangent to hyperbola

Frequently Asked Questions

1.How many questions are available for Hyperbola?

This chapter includes 12 questions compiled from Manipal (MET) papers spanning 2010 to 2021.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Hyperbola has appeared in 7 of the 15 years of Manipal (MET) papers covered here, with 12 questions across 7 papers - about 2 per paper it appears in.

4.What is the difficulty level of Hyperbola questions in Manipal (MET)?

Of the 12 questions analysed for this chapter, 42% are easy, 50% moderate and 8% tough. 2010 had the most, with 3 questions.

5.Which topics in Hyperbola should I focus on?

These topics have carried the most weightage in Hyperbola:

  • Equation of hyperbola - 5 questions (42%)
  • Asymptotes - 2 questions (17%)
  • Diameter to hyperbola - 2 questions (17%)
  • Asymptotes has produced the most tough questions (1).