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Mathematics - Hyperbola

Practise 77 TS 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 TS EAMCET tests.

Hyperbola has been asked in 21 of the 24 years of TS EAMCET papers analysed (2001–2024), with 77 questions in all. 22% of them were easy, 64% moderate and 14% tough. Most of its questions came from 2022, with 13 questions that year. In the last three years (2022–2024) it had 24 questions across 17 papers, about 1.4 per paper.

The chapter's 16 topics are not weighted equally: Equation of hyperbola (29 questions, 38%), Asymptotes (13 questions, 17%), and Tangent to hyperbola (9 questions, 12%) have been asked the most. Equation of hyperbola has also led over the last five years, with 17 questions. Normal to hyperbola has produced the most tough questions (4).

  1. 1If the latus rectum through one of the foci of a hyperbola subtends a right angle at the farther vertex of the hyperbola, then04 May, 2025 (M)Equation of hyperbola
  2. 2The number of common tangents that can be drawn to the curves and is04 May, 2025 (E)Common Tangents
  3. 3If the tangent drawn at the point on the hyperbola meets its directrix at in fourth quadrant then03 May, 2025 (M)Line and hyperbola
  4. 4Let be the points of intersection of the circle and the hyperbola . If and , then the equation of the tangent drawn at P to the hyperbola is03 May, 2025 (E)Tangent to hyperbola
  5. 5If the product of the perpendicular distances from any point on the hyperbola to its asymptotes is and its eccentricity is , then02 May, 2025 (M)Asymptotes
  6. 6If is the maximum value of and is the minimum value of , then the equation of the hyperbola having foci at and eccentricity as 2 is02 May, 2025 (E)Equation of hyperbola
  7. 7Let be the eccentricity of a hyperbola whose transverse axis is twice its conjugate axis. Let be the eccentricity of another hyperbola for w02 May, 2025 (E)Equation of hyperbola
  8. 8is a point on the hyperbola is its focus lying on the positive X -axis and . If and , then11 May, 2024 (M)Line and hyperbola
  9. 9The slope of the tangent drawn from the point to the hyperbola is10 May, 2024 (M)Tangent to hyperbola
  10. 10If the tangent drawn at a point on the hyperbola cuts -axis at T and the normal drawn at the same point cuts the Y -axis at N , then the equ10 May, 2024 (E)Tangent to hyperbola
  11. 11The point of intersection of two tangents drawn to the hyperbola lie on the circle . If these tangents are perpendicular to each other, then09 May, 2024 (M)Tangent to hyperbola
  12. 12is the point of intersection of a latus rectum and an asymptote of the hyperbola . If and then09 May, 2024 (E)Asymptotes
  13. 13If the angle between the asymptotes of a hyperbola is then its eccentricity is14 May, 2023 (M)Asymptotes
  14. 14If the line touches the hyperbola , then the coordinates of the point of contact are14 May, 2023 (E)Line and hyperbola
  15. 15If is a tangent to the hyperbola , then the point of contact of this tangent is13 May, 2023 (M)Tangent to hyperbola
  16. 16If the equation represents a normal to the hyperbola , then13 May, 2023 (E)Normal to hyperbola
  17. 17If the equation of a hyperbola is , then the equation of its conjugate hyperbola is12 May, 2023 (M)Asymptotes
  18. 18and are two points on the hyperbola where . If is the point of intersection of the normals drawn at and , then12 May, 2023 (E)Normal to hyperbola
  19. 19Let be the eccentricity of a hyperbola for which distance between its focii is 2 times the distance between its directrices and be the eccen20 Jul, 2022 (M)Equation of hyperbola
  20. 20Assertion : The distance between the points and on the hyperbola is Reason : are the parametric equations of the hyperbola The correct optio20 Jul, 2022 (M)Position of point
  21. 21Let be the focus of the hyperbola lying on the positive -axis. Let be a given point. Then the area of the triangle formed by the line PS wit20 Jul, 2022 (E)Equation of hyperbola
  22. 22If is a point on the hyperbola are its foci and , then20 Jul, 2022 (E)Equation of hyperbola
  23. 23If the latus rectum of a hyperbola subtends an angle of at its centre, then its eccentricity is19 Jul, 2022 (M)Auxillary Circle
  24. 24Let be the points on the hyperbola in the parametric form. Then the area of the quadrilateral is (in square units)19 Jul, 2022 (M)Tangent to hyperbola
  25. 25IF is the focus of the ellipse lying on the positive -axis is a point on the ellipse such that , then19 Jul, 2022 (E)Equation of hyperbola
  26. 26A hyperbola having its centre at the origin is passing through the point and has transverse axis of length 8 along the -axis. Then the eccen19 Jul, 2022 (E)Equation of hyperbola
  27. 27If is the eccentricity of the hyperbola , and is the eccentricity of the hyperbola , then19 Jul, 2022 (E)Equation of hyperbola
  28. 28If x 2 k - 5 2 + y 2 7 3 - k = 1 ( k is a real number) represents a hyperbola, then the set of all values of k is18 Jul, 2022 (M)Equation of hyperbola
  29. 29Let A 1 and B 2 be two points on the hyperbola x 2 a 2 - y 2 b 2 = 1 and S be the focus of the hyperbola. If A , S , B are collinear and a c18 Jul, 2022 (M)Chord of hyperbola
  30. 30Let S be the focus of the hyperbola x 2 16 - y 2 9 = 1 lying on the positive X - axis and P 5 , y 1 be point on the hyperbola. Then SP =18 Jul, 2022 (E)Equation of hyperbola
  31. 31If P = x 1 , 3 5 2 , 0 2 is a point on the hyperbola x 2 25 - y 2 9 = 1 , where is the parameter in its parametric form, then 2 x 1 + 9 sin 18 Jul, 2022 (E)Equation of hyperbola
  32. 32The focii of the hyperbola are06 Aug, 2021 (M)Equation of hyperbola
  33. 33If the hyperbola has eccentricity and the length of the latusrectum respectively equal to and 9 , then is equal to06 Aug, 2021 (E)Equation of hyperbola
  34. 34If x 2 + 3 + y 2 2 - = 1 represents a hyperbola, then lies in05 Aug, 2021 (M)Equation of hyperbola
  35. 35If the latus rectum of a hyperbola x 2 a 2 - y 2 b 2 = 1 subtends an angle of 60 at the other focus, then the eccentricity of the hyperbola 05 Aug, 2021 (E)Equation of hyperbola
  36. 36The lines x cos + y sin = P , are chords of the hyperbola x 2 9 - y 2 36 = 1 and they subtend a right angle at the centre of the hyperbola. 04 Aug, 2021 (M)Locus
  37. 37If , - 1 is an interior point of the curve 4 x 2 - 3 y 2 = 1 then lies in04 Aug, 2021 (E)Equation of hyperbola
  38. 38For the hyperbola , if the focus is and the directrix that is adjacent to is , then14 Sep, 2020 (M)Equation of hyperbola
  39. 39If are the eccentricities of the hyperbola and its conjugate hyperbola respectively, then the area of the square (in sq. units) formed by th14 Sep, 2020 (E)Equation of hyperbola
  40. 40A rectangular hyperbola passing through has its asymptotes parallel to the coordinate axes. If is the point of intersection of the two perpe11 Sep, 2020 (M)Pair of Tangents
  41. 41If is a point on the hyperbola whose length of the transverse axis is 12 and conjugate axis is , then the eccentricity of that hyperbola is11 Sep, 2020 (E)Equation of hyperbola
  42. 42The equation of the hyperbola, whose eccentricity is and whose foci are 16 units apart, is10 Sep, 2020 (M)Equation of hyperbola
  43. 43If the circle intersects the hyperbola at four points , , then10 Sep, 2020 (E)Rectangular hyperbola
  44. 44The value of b 2 in order that the foci of the hyperbola x 2 144 - y 2 81 = 1 25 and the ellipse x 2 16 + y 2 b 2 = 1 coincide is09 Sep, 2020 (M)Equation of hyperbola
  45. 45If the pole of the line 3 x - 16 y + 48 = 0 with respect to the hyperbola 9 x 2 - 16 y 2 = 144 is , , then - =09 Sep, 2020 (M)Chord with given Middle Point
  46. 46Let and be two points such that on the hyperbola . If is the point of intersection of the normals at and , then09 Sep, 2020 (E)Normal to hyperbola
  47. 47If and are the asymptotes of the hyperbola , then the product of the perpendicular distances from the point to the lines, and is06 May, 2019 (M)Asymptotes
  48. 48The product of lengths of the perpendiculars from any point of the hyperbola to its asymptotes is04 May, 2019 (M)Asymptotes
  49. 49The line is a tangent to the hyperbola . If this line passes through the point of intersection of a directrix and the positive -axis, then t04 May, 2019 (E)Equation of hyperbola
  50. 50If is the eccentricity of the ellipse and is the eccentricity of a hyperbola passing through the foci of the given ellipse and , then the eq03 May, 2019 (M)Equation of hyperbola

Frequently Asked Questions

1.How many questions are available for Hyperbola?

This chapter includes 77 questions compiled from TS EAMCET papers spanning 2001 to 2025.

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

These are TS 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 TS EAMCET Mathematics?

Hyperbola has appeared in 22 of the 25 years of TS EAMCET papers covered here, with 77 questions across 61 papers - about one per paper it appears in.

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

Of the 77 questions analysed for this chapter, 22% are easy, 64% moderate and 14% tough. 2022 had the most, with 13 questions.

5.Which topics in Hyperbola should I focus on?

These topics have carried the most weightage in Hyperbola:

  • Equation of hyperbola - 29 questions (38%)
  • Asymptotes - 13 questions (17%)
  • Tangent to hyperbola - 9 questions (12%)
  • Normal to hyperbola has produced the most tough questions (4).
6.Is Hyperbola's weightage in TS EAMCET going up or down?

Across all 61 papers analysed, Hyperbola has averaged about 1.3 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.4 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.