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Mathematics - Parabola

Practise 125 TS EAMCET previous year questions on Parabola, 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.

Parabola has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 125 questions in all. 36% of them were easy, 52% moderate and 12% tough. Most of its questions came from 2020, with 17 questions that year. In the last three years (2022–2024) it had 35 questions across 17 papers, about 2.1 per paper.

The chapter's 15 topics are not weighted equally: standard equation of parabola (38 questions, 30%), Normal to Parabola (23 questions, 18%), and Tangent to Parabola (14 questions, 11%) have been asked the most. standard equation of parabola has also led over the last five years, with 20 questions. Normal to Parabola has produced the most tough questions (3).

  1. 1A normal chord PQ drawn at a point P on the parabola subtends a right angle at the vertex. If P lies in the first quadrant, then the other e04 May, 2025 (M)Parabola
  2. 2If is one end of the latus rectum of the parabola then the equation of the tangent at L to this parabola is04 May, 2025 (M)Line and parabola
  3. 3If the angle between the tangents drawn to the parabola from the points on the line is , then the sum of the abscissae of all such points is04 May, 2025 (E)Tangent to Parabola
  4. 4The normal at a point on the parabola passes through a point P. Two more normals to this parabola also pass through P. If the centroid of th04 May, 2025 (E)Normal to Parabola
  5. 5If the normals drawn at the points and on the parabola intersect again on at R, then03 May, 2025 (M)Normal to Parabola
  6. 6If is the acute angle between the tangents drawn from the point to the parabola then03 May, 2025 (M)Line and parabola
  7. 7The number of normals that can be drawn through the point to the parabola is03 May, 2025 (E)Normal to Parabola
  8. 8If and are the slopes of the tangents drawn from the point to the parabola then03 May, 2025 (E)Tangent to Parabola
  9. 9If the normal drawn at to the parabola meets the parabola again at Q, then the equation of the tangent drawn at Q to the parabola is02 May, 2025 (M)Tangent to Parabola
  10. 10The focal distance of a point on the parabola is02 May, 2025 (M)standard equation of parabola
  11. 11For the parabola , match the items in list-1 to that of the items in list-2. S is a focus, Z is intersection of axis and directrix, P is one02 May, 2025 (E)standard equation of parabola
  12. 12The locus of a point which divides the line segment joining the focus and any point on the parabola in the ratio is a parabola. Then the len02 May, 2025 (E)Locus
  13. 13is the vertex and is the directrix of a parabola. If is its focus and is the point of intersection of the directrix and the axis of the para11 May, 2024 (M)standard equation of parabola
  14. 14If the focal chord of the parabola drawn through the point intersects the parabola at the points and Q, then the sum of the reciprocals of t10 May, 2024 (M)Chord of parabola
  15. 15If the normal drawn at the point on the parabola meets the parabola again at , then10 May, 2024 (M)Normal to Parabola
  16. 16are two parabolas and is a point on the parabola . If A and B are the feet of the perpendiculars from P on to coordinate axes and AB is a ta10 May, 2024 (E)Tangent to Parabola
  17. 17If is the focus and is the directrix of a parabola then the equation of the tangent drawn at the vertex of the parabola is09 May, 2024 (M)standard equation of parabola
  18. 18The equation of the common tangent to the parabola and the circle is . If , then09 May, 2024 (M)Common Tangent
  19. 19Consider the parabola match the characteristic of this parabola given in List-I with its corresponding item in List-II. The correct answer i09 May, 2024 (M)standard equation of parabola
  20. 20and are the extremities of a focal chord of the parabola . If and , then09 May, 2024 (E)Chord of parabola
  21. 21The number of normals that can be drawn through the point to the parabola is09 May, 2024 (E)Normal to Parabola
  22. 22If is a tangent to the parabola , then the value of is14 May, 2023 (M)Line and parabola
  23. 23If the points of intersection of the parabolas and lie on the line L, then the area of the triangle formed by the directrix of one parabola,14 May, 2023 (M)standard equation of parabola
  24. 24If is the focal chord of the parabola and , then the equation of the normal to the parabola at the point is14 May, 2023 (E)standard equation of parabola
  25. 25If one of the vertices of an equilateral triangle inscribed in the parabola coincides with the vertex of the parabola, then the area (in sq.14 May, 2023 (E)standard equation of parabola
  26. 26If the focal distance of a point on the parabola is 3 , then the equation of the tangent drawn at to the given parabola is13 May, 2023 (M)Tangent to Parabola
  27. 27Normals are drawn from the point to the parabola . If is the acute angle between two nonhorizontal normals among them, then13 May, 2023 (M)Normal to Parabola
  28. 28If the line is a tangent to the parabola , then the equation of the normal drawn at the point to the parabola is13 May, 2023 (E)Normal to Parabola
  29. 29is the equation of the common tangent to the parabola and the circle . If this tangent makes an acute angle with the positive - axis in the 13 May, 2023 (E)Common Tangent
  30. 30The equation of the parabola with as directrix and as focus is12 May, 2023 (M)standard equation of parabola
  31. 31The normal at a point on the parabola passes through . If there are two more normals to this parabola passing through , then the equation of12 May, 2023 (E)Normal to Parabola
  32. 32The equations of common tangents to the parabola and the circle are12 May, 2023 (E)Tangent to Parabola
  33. 33If the focal chord drawn through the point to the parabola meets this parabola in and then20 Jul, 2022 (M)Chord of parabola
  34. 34If is a point on the parabola such that its focal distance is 3 , then20 Jul, 2022 (M)standard equation of parabola
  35. 35The equation of the given curve is Match the following: List-I (A) Focus (B) Vertex (C) One end of the latus rectum (D) Point of intersectio20 Jul, 2022 (E)General Equation of 2nd degree curve
  36. 36If one end of a focal chord of the parabola is at , then the length of this focal chord is20 Jul, 2022 (E)Chord of parabola
  37. 37The equation of the tangent to the curve at the point is20 Jul, 2022 (E)Tangent to Parabola
  38. 38The radius of the circle which cuts all the three circles and orthogonally is19 Jul, 2022 (M)Tangent to Parabola
  39. 39Statement I : is the equation of parabola having as its focus and as its directrix. Statement II : The equation of the directrix of the para19 Jul, 2022 (M)Properties of Tangent
  40. 40The cartesian equation of the parabola , is19 Jul, 2022 (M)Common Tangent
  41. 41If the circle cuts another circle orthogonally and the centre of the circle is , then its radius is19 Jul, 2022 (E)standard equation of parabola
  42. 42Let be the latus rectum and PQ be the focal chord of the parabola . If and lie in the same quadrant then19 Jul, 2022 (E)standard equation of parabola
  43. 43If y 2 = 16 x is the given parabola, then the point of intersection of the focal chord through the point 2 , 2 and the double ordinate of le18 Jul, 2022 (M)Chord of parabola
  44. 44Let P Q and R T be two focal chords of the parabola y 2 = 16 x . If P = 4 , 8 and R = 16 , 16 then Q T =18 Jul, 2022 (M)Chord of parabola
  45. 45The area of the triangle formed by the tangent and the normal drawn to the curve y 2 = 4 x at 1 , 2 with Y -axis is (in square units)18 Jul, 2022 (M)Tangent to Parabola
  46. 46The vertex and the focus of the parabola 2 x 2 + 5 y - 6 x + 1 = 0 respectively, are18 Jul, 2022 (E)standard equation of parabola
  47. 47The axis of a parabola is along the line y = x and the distance of its vertex A from 0 , 0 is 2 and that of its focus S from 0 , 0 is 2 2 . 18 Jul, 2022 (E)standard equation of parabola
  48. 48The area of a triangle (in sq. units) formed by the latus rectum of the parabola and the lines joining the vertex of the parabola to the end06 Aug, 2021 (M)standard equation of parabola
  49. 49If is a point on the parabola passing through the points and having its axis parallel to the -axis, then is equal to06 Aug, 2021 (M)Position of point
  50. 50is a fixed point outside the parabola and is a point moving on the parabola. The locus of point which divides in the ratio is a conic. Then 06 Aug, 2021 (E)Locus

Frequently Asked Questions

1.How many questions are available for Parabola?

This chapter includes 125 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 Parabola chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Parabola an important chapter for TS EAMCET Mathematics?

Parabola has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 125 questions across 64 papers - about 2 per paper it appears in.

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

Of the 125 questions analysed for this chapter, 36% are easy, 52% moderate and 12% tough. 2020 had the most, with 17 questions.

5.Which topics in Parabola should I focus on?

These topics have carried the most weightage in Parabola:

  • standard equation of parabola - 38 questions (30%)
  • Normal to Parabola - 23 questions (18%)
  • Tangent to Parabola - 14 questions (11%)
  • Normal to Parabola has produced the most tough questions (3).
6.Is Parabola's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Parabola has averaged about 2.0 questions per paper. In the last three years (2022–2024), that average has stayed about the same, 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.