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Mathematics - Hyperbola

Practise 137 AP EAMCET previous year questions on Hyperbola, compiled from papers spanning 2001 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 AP EAMCET tests.

Hyperbola has been asked in 21 of the 24 years of AP EAMCET papers analysed (2001–2024), with 137 questions in all. 28% of them were easy, 58% moderate and 14% tough. Most of its questions came from 2022, with 22 questions that year. In the last three years (2022–2024) it had 60 questions across 28 papers, about 2.1 per paper.

The chapter's 16 topics are not weighted equally: Equation of hyperbola (48 questions, 35%), Asymptotes (25 questions, 18%), and Tangent to hyperbola (18 questions, 13%) have been asked the most. Equation of hyperbola has also led over the last five years, with 33 questions. Equation of hyperbola has produced the most tough questions (4).

  1. 1If the eccentricity of the hyperbola passing through the point is 2, then the equation of the tangent to this hyperbola at is27 May, 2025 (M)Tangent to hyperbola
  2. 2A hyperbola passes through the point and has foci at . Then the point that lies on the tangent drawn to this hyperbola at P is27 May, 2025 (M)Line and hyperbola
  3. 3If is the angle subtended by a latus rectum at the centre of the hyperbola having eccentricity , then26 May, 2025 (M)Equation of hyperbola
  4. 4The tangent drawn at an extremity (in the first quadrant) of latus rectum of the hyperbola meets the -axis and -axis at and respectively. If26 May, 2025 (M)Line and hyperbola
  5. 5Let and where be two points on the hyperbola . If is the point of intersection of the normals drawn at P and Q, then26 May, 2025 (E)Normal to hyperbola
  6. 6If the angle between the asymptotes of a hyperbola is and , then26 May, 2025 (E)Asymptotes
  7. 7If is a tangent to the hyperbola and is its eccentricity, then24 May, 2025 (M)Line and hyperbola
  8. 8If the normal drawn to the hyperbola at meets the hyperbola again at a point , then24 May, 2025 (M)Normal to hyperbola
  9. 9are the equations of the asymptotes of a hyperbola. If is a point on this hyperbola, then the equation of its conjugate hyperbola is23 May, 2025 (M)Hyperbola
  10. 10If is the acute angle between the tangents drawn from the point to the hyperbola , then23 May, 2025 (M)Tangent to hyperbola
  11. 11If is a normal to the hyperbola making positive intercepts on both the axes, then23 May, 2025 (E)Normal to hyperbola
  12. 12If a hyperbola has asymptotes and , then the transverse and conjugate axes of that hyperbola are23 May, 2025 (E)Asymptotes
  13. 13If a tangent to the hyperbola is also a tangent to the parabola , then the equation of that tangent is22 May, 2025 (M)Tangent to hyperbola
  14. 14The distance between the tangents of the hyperbola which are perpendicular to the line is22 May, 2025 (M)Line and hyperbola
  15. 15If the equation of the tangent of the hyperbola which makes an angle with the positive X -axis in positive direction is then22 May, 2025 (E)Line and hyperbola
  16. 16If the distance between the foci of a hyperbola is 26 and distance between its directrices is then the eccentricity of the conjugate hyperbo22 May, 2025 (E)Equation of hyperbola
  17. 17One of the latus recta of the hyperbola subtends an angle at the centre of the hyperbola. If and e is the eccentricity of the given hyperbol21 May, 2025 (M)Equation of hyperbola
  18. 18If the equation of the hyperbola having as foci and as eccentricity is then21 May, 2025 (M)Equation of hyperbola
  19. 19The tangents drawn to the hyperbola through a variable point P make the angles and with its transverse axis. If are the complementary angles21 May, 2025 (E)Tangent to hyperbola
  20. 20If is the acute angle between the asymptotes of a hyperbola , then21 May, 2025 (E)Asymptotes
  21. 21Preview not available - open to view this question.23 May, 2024 (M)General Equation of 2nd degree curve
  22. 22If is a tangent to the hyperbola , then equations of its directrices are23 May, 2024 (M)Tangent to hyperbola
  23. 23The area of the quadrilateral formed with the foci of the hyperbola and its conjugate hyperbola is (in square units)23 May, 2024 (M)Equation of hyperbola
  24. 24If the eccentricity of the hyperbola is , then area of the triangle formed by the asymptotes of the hyperbola with any of its tangent is22 May, 2024 (M)Asymptotes
  25. 25If and are respectively the eccentricities of the hyperbola and its conjugate hyperbola, then the line touches the circle having centre at t22 May, 2024 (M)Equation of hyperbola
  26. 26The line touches the hyperbola 232 then22 May, 2024 (E)Line and hyperbola
  27. 27If the equation represents a hyperbola then22 May, 2024 (E)Equation of hyperbola
  28. 28The equation of the pair of asymptotes of the hyperbol is21 May, 2024 (M)Asymptotes
  29. 29The equation of one of the tangents drawn from the poin to the hyperbola is21 May, 2024 (M)Tangent to hyperbola
  30. 30The descending order of magnitude of the eccentricities of the following hyperbolas is A. A hyperbola whose distance between foci is three t21 May, 2024 (E)Equation of hyperbola
  31. 31If , then one of the values of is20 May, 2024 (M)General Equation of 2nd degree curve
  32. 32If a circle of radius 4 cm passes through the foci of the hyperbola and concentric with the hyperbola, then the eccentricity of the conjugat20 May, 2024 (M)Equation of hyperbola
  33. 33If a tangent to the hyperbola is also a tangent to the parabola . then equation of such tangent with the positive slope is20 May, 2024 (M)Common Tangent
  34. 34If a directrix of a hyperbola centred at the origin and passing through the point is and is its eccentricity, then20 May, 2024 (E)Equation of hyperbola
  35. 35If and are the lengths of the perpendiculars drawn from a point on the hyperbola to its asymptotes, then20 May, 2024 (E)Asymptotes
  36. 36Preview not available - open to view this question.19 May, 2024 (E)General Equation of 2nd degree curve
  37. 37The locus of the mid points of the chords of the hyperbola which touch the parabola is19 May, 2024 (E)Locus
  38. 38If the product of eccentricities of the ellipse and the hyperbola is 1 , then19 May, 2024 (E)Equation of hyperbola
  39. 39If the line is a tangent to the hyperbola . then the equation of the normal to this hyperbola at the point is18 May, 2024 (M)Normal to hyperbola
  40. 40If the angle between the asymptotes of the hyperbola is and is its eccentricity, then the pole of the line with respect to this hyperbola is18 May, 2024 (M)Asymptotes
  41. 41Let be the eccentricity of the ellipse . If is the eccentricity of a hyperbola, then the eccentricity of its conjugate hyperbola is19 May, 2023 (M)Equation of hyperbola
  42. 42Let and be the asymptotes of a hyperbola . If is a point on , then the length of the latus rectum of is19 May, 2023 (M)Asymptotes
  43. 43The equation of the pair of asymptotes of the hyperbola is18 May, 2023 (M)Asymptotes
  44. 44Let the points and given in parametric form, lie on the hyperbola . Then these four points in that order form18 May, 2023 (M)Equation of hyperbola
  45. 45The Cartesian form of the curve given by , is a parameter, is18 May, 2023 (E)General Equation of 2nd degree curve
  46. 46Let - axis be the transverse axis and -axis be the conjugate axis of a hyperbola . Let be the director circle of . If the perpendicular dist18 May, 2023 (E)Director Circle
  47. 47The equation of the pair of asymptotes of the hyperbola is18 May, 2023 (E)Asymptotes
  48. 48If and are two points on the hyperbola in parametric form, then the distance between and is17 May, 2023 (M)Equation of hyperbola
  49. 49If the point and the origin lie in the same region with respect to the hyperbola , then the range of a is17 May, 2023 (M)Equation of hyperbola
  50. 507. If is the angle between the asymptotes of the hyperbola and , then16 May, 2023 (M)Asymptotes

Frequently Asked Questions

1.How many questions are available for Hyperbola?

This chapter includes 137 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET 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 AP EAMCET Mathematics?

Hyperbola has appeared in 22 of the 25 years of AP EAMCET papers covered here, with 137 questions across 85 papers - about 2 per paper it appears in.

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

Of the 137 questions analysed for this chapter, 28% are easy, 58% moderate and 14% tough. 2022 had the most, with 22 questions.

5.Which topics in Hyperbola should I focus on?

These topics have carried the most weightage in Hyperbola:

  • Equation of hyperbola - 48 questions (35%)
  • Asymptotes - 25 questions (18%)
  • Tangent to hyperbola - 18 questions (13%)
  • Equation of hyperbola has produced the most tough questions (4).
6.Is Hyperbola's weightage in AP EAMCET going up or down?

Across all 85 papers analysed, Hyperbola has averaged about 1.6 questions per paper. In the last three years (2022–2024), that average has risen, at about 2.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.