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Mathematics - Parabola

Practise 137 AP 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 AP EAMCET tests.

Parabola has been asked in 24 of the 24 years of AP EAMCET papers analysed (2001–2024), with 137 questions in all. 47% of them were easy, 43% moderate and 10% tough. Most of its questions came from 2020, with 18 questions that year. In the last three years (2022–2024) it had 32 questions across 28 papers, about 1.1 per paper.

The chapter's 15 topics are not weighted equally: standard equation of parabola (39 questions, 28%), Normal to Parabola (18 questions, 13%), and Tangent to Parabola (18 questions, 13%) have been asked the most. standard equation of parabola has also led over the last five years, with 18 questions. Normal to Parabola has produced the most tough questions (3).

  1. 1A circle is drawn with its centre at the focus of the parabola such that it touches the directrix of the parabola. Then a point of intersect27 May, 2025 (M)standard equation of parabola
  2. 2If the locus of a point that divides a chord of slope 2 of the parabola internally in the ratio is a parabola, then its vertex is27 May, 2025 (M)Chord of parabola
  3. 3If is a normal drawn through the point to the parabola , then the slope of the other normal that can be drawn through the same point to the 26 May, 2025 (M)Normal to Parabola
  4. 4If the normal chord draw n at the point to the parabola subtends an angle at the vertex of the parabola, then26 May, 2025 (E)Parabola
  5. 5Tangents are drawn at three points on the parabola . Let these tangents intersect each other at the points . If , then the area of the trian24 May, 2025 (M)Tangent to Parabola
  6. 6The lengths of the two focal chords of the parabola is 25 units each. If these two chords cut the parabola at A, B, C and D, then the area (23 May, 2025 (M)Parabola
  7. 7If the tangents of the parabola passing through the point touches the parabola at and , then the area (in sq. units) of is23 May, 2025 (E)Line and parabola
  8. 8PQ is a focal chord of the parabola with focus S. If then22 May, 2025 (M)Parabola
  9. 9If the perpendicular distance from the focus of a parabola to its directrix is , then the equation of the normal drawn at is22 May, 2025 (E)Tangent to Parabola
  10. 10If is the normal drawn to the parabola at the point , then the foot of the perpendicular drawn from the focus of the parabola on to the norm21 May, 2025 (M)Normal to Parabola
  11. 11The angle between the tangents drawn from the point to the parabola is21 May, 2025 (E)Line and parabola
  12. 12If is a point which divides the line segment joining the focus of the parabola and a point on the parabola in the ratio 1:2. Then the locus 23 May, 2024 (M)Locus
  13. 13If the normal chord drawn at on the parabola subtends an angle at its vertex, then22 May, 2024 (M)Normal to Parabola
  14. 14Equation of the line touching both parabolas and is22 May, 2024 (E)Common Tangent
  15. 15The equation of the normal drawn to the parabola at the point is21 May, 2024 (M)Normal to Parabola
  16. 16If the ordinates of points and on the parabola are in the ratio , then the locus of the point of intersection of the normals to the parabola21 May, 2024 (E)Locus
  17. 17A common tangent to the circle and parabola is20 May, 2024 (M)Common Tangent
  18. 18Equation of a tangent line of the parabola , which passes through the point is20 May, 2024 (E)Tangent to Parabola
  19. 19The normal drawn at a point on the parabola cuts again the same parabola at then19 May, 2024 (E)Normal to Parabola
  20. 20If the axes are rotated through an angle about the origin in anticlockwise direction, then the transformed equation of is18 May, 2024 (M)standard equation of parabola
  21. 21The line cuts the parabola at the points P and Q . If the focus of this parabola is , then18 May, 2024 (M)Line and parabola
  22. 22If the focal chord drawn through the point to the parabola meets the parabola again at the point , then the tangent drawn to this parabola a19 May, 2023 (M)Chord of parabola
  23. 23If is the vertex and.' is the focus of a parabola, then its equation is18 May, 2023 (M)General Equation of 2nd degree curve
  24. 24A parabola having its axis parallel to -axis, passes through the points and ; Then a point that lies on this parabola is18 May, 2023 (E)standard equation of parabola
  25. 25and are two points on the curve . The coordinates of the point on the curve such that the tangent drawn at is parallel to the chord , is18 May, 2023 (E)Tangent to Parabola
  26. 26Let a focal chord of the parabola intersect the parabola at the points and . If is the focus of this parabola, then17 May, 2023 (M)Chord of parabola
  27. 27Let 1 be the directrix of the parabola and be the line passing through the vertex of this parabola and the origin. If is the point of inters17 May, 2023 (E)standard equation of parabola
  28. 28If a parabola having its axis parallel to -axis passes through the points and , then the point at which this parabola cuts the -axis is16 May, 2023 (M)standard equation of parabola
  29. 29Let be the point of intersection of the axis and the directrix of the parabola . If is its focus, then the point which divides SZ in the rat16 May, 2023 (E)Position of point
  30. 30Let the equation of the tangent at a point on the parabola be . If the equation of the normal drawn at to this parabola is , then .015 May, 2023 (M)Chord of parabola
  31. 31The perpendicular distance from the origin to the focal chord drawn through the point to the parabola is15 May, 2023 (E)Chord of parabola
  32. 32The equation of directrix of parabola 0 is08 Jul, 2022 (M)standard equation of parabola
  33. 33If the focus of a parabola is and its directrix is , then it equation is08 Jul, 2022 (E)standard equation of parabola
  34. 34For the parabola represented in the parameteric form by and , the length of latus rectum is07 Jul, 2022 (M)standard equation of parabola
  35. 35If the directrix of the parabola is , then which of the following is correct?07 Jul, 2022 (E)standard equation of parabola
  36. 36The centre of the circle that passes through the point and touches the curve at is06 Jul, 2022 (M)Common Tangent
  37. 37The parabola with focus at and vertex at is06 Jul, 2022 (M)standard equation of parabola
  38. 38The length of the latusrectum of the parabola is06 Jul, 2022 (E)standard equation of parabola
  39. 39Which of the following represents a parabola?05 Jul, 2022 (M)standard equation of parabola
  40. 40The distance of the point from the focus of is05 Jul, 2022 (E)Position of point
  41. 41Equation of the directrix of the parabola whose focus is ( 0 , 0 ) and the tangent at the vertex is x - y + 1 = 0 is04 Jul, 2022 (M)Tangent to Parabola
  42. 42If a x + b y = 1 is a normal to the parabola y 2 = 4 p x then the condition is04 Jul, 2022 (M)Normal to Parabola
  43. 43Suppose a parabola passes through 0 , 4 , 1 , 9 and 4 , 5 and has its axis parallel to the y -axis. Then the equation of the parabola is04 Jul, 2022 (E)standard equation of parabola
  44. 44If the coordinates of the ends of a focal chord of the parabola ay are and , then25 Aug, 2021 (M)Chord of parabola
  45. 45The equation of the directrix of parabola is25 Aug, 2021 (E)standard equation of parabola
  46. 46If are the parametric equations of the parabola , then the value of equals24 Aug, 2021 (M)Tangent to Parabola
  47. 47If is the vertex and -axis is the directrix of a parabola, then its focus is24 Aug, 2021 (E)standard equation of parabola
  48. 48If the line passes through the points of intersection of and , then23 Aug, 2021 (M)Locus
  49. 49If the point is an interior point of the region bounded by the parabola and the double ordinate through focus, then23 Aug, 2021 (E)Position of point
  50. 50The coordinates of the focus of the parabola described parametrically by x = 5 t 2 + 2 , y = 10 t + 4 (where t is a parameter) are20 Aug, 2021 (M)standard equation of parabola

Frequently Asked Questions

1.How many questions are available for Parabola?

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 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 AP EAMCET Mathematics?

Parabola has appeared in 25 of the 25 years of AP EAMCET papers covered here, with 137 questions across 92 papers - about one per paper it appears in.

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

Of the 137 questions analysed for this chapter, 47% are easy, 43% moderate and 10% tough. 2020 had the most, with 18 questions.

5.Which topics in Parabola should I focus on?

These topics have carried the most weightage in Parabola:

  • standard equation of parabola - 39 questions (28%)
  • Normal to Parabola - 18 questions (13%)
  • Tangent to Parabola - 18 questions (13%)
  • Normal to Parabola has produced the most tough questions (3).
6.Is Parabola's weightage in AP EAMCET going up or down?

Across all 92 papers analysed, Parabola has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.