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Mathematics - Ellipse

Practise 119 TS EAMCET previous year questions on Ellipse, 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.

Ellipse has been asked in 23 of the 24 years of TS EAMCET papers analysed (2001–2024), with 119 questions in all. 39% of them were easy, 41% moderate and 19% tough. Most of its questions came from 2020, with 14 questions that year. In the last three years (2022–2024) it had 37 questions across 17 papers, about 2.2 per paper.

The chapter's 13 topics are not weighted equally: Equation of Ellipse (60 questions, 50%), Tangent to ellipse (16 questions, 13%), and Line and ellipse (11 questions, 9%) have been asked the most. Equation of Ellipse has also led over the last five years, with 32 questions. Tangent to ellipse has produced the most tough questions (6).

  1. 1If P is any point on the ellipse and are its foci, then the maximum area (in sq. units) of04 May, 2025 (M)Equation of Ellipse
  2. 2Let e be the eccentricity of the ellipse . If and the equation of the normal drawn at one end of the latus rectum that lies in the first qua04 May, 2025 (M)Normal to ellipse
  3. 3The circumcenter of the equilateral triangle having the three points lying on the ellipse as its vertices is . Then the average of , and is04 May, 2025 (E)Equation of Ellipse
  4. 4is an ellipse with eccentricity . If the angle of intersection between the ellipse and parabola is , then the coordinates of the point on th04 May, 2025 (E)Line and ellipse
  5. 5Let P be a point on the ellipse and let the perpendicular drawn through P to the major axis meet its auxiliary circle at Q. If the normals d03 May, 2025 (M)Locus
  6. 6The midpoint of the chord of the ellipse formed on the line is03 May, 2025 (M)Chord of ellipse
  7. 7If a normal is drawn at a variable point on the curve , then the maximum distance from the centre of the curve to the normal is03 May, 2025 (M)Normal to ellipse
  8. 8If the perpendicular distance from the focus of an ellipse to its corresponding directrix is , then the slope of the tangent to this ellipse03 May, 2025 (E)Equation of Ellipse
  9. 9The length of the chord of the ellipse formed on the line is03 May, 2025 (E)Ellipse
  10. 10If and are the foci of an ellipse and the point lying on positive Y-axis is one end of its minor axis, then the incentre of the triangle SBS02 May, 2025 (M)Equation of Ellipse
  11. 11One of the foci of an ellipse is and its corresponding directrix is . If the eccentricity of the ellipse is then the coordinates of the othe02 May, 2025 (M)General Equation of 2nd degree curve
  12. 12The curve represented by is02 May, 2025 (E)General Equation of 2nd degree curve
  13. 13If any tangent drawn to the ellipse touches one of the circles , then the range of is02 May, 2025 (E)Line and ellipse
  14. 14The axis of a parabola is parallel to Y -axis. If this parabola passes through the points and its equation is , then11 May, 2024 (M)Equation of Ellipse
  15. 15If the focus of an ellipse is , equation of its directrix corresponding to this focus is and its eccentricity is , then the length of its ma11 May, 2024 (M)Equation of Ellipse
  16. 16If the normal drawn at the point to the ellipse meets the ellipse again at then,11 May, 2024 (M)Normal to ellipse
  17. 17The length of the latus rectum of the ellipse is . If the distance from the centre of the ellipse to its focus is , then10 May, 2024 (M)Equation of Ellipse
  18. 18is the focus of the ellipse lying on the negative -axis and is a point on this ellipse. If the distance between the foci of this ellipse is 10 May, 2024 (M)Equation of Ellipse
  19. 19If the locus of the centroid of the triangle with vertices and is a parameter) is , then the area of the Triangle formed by the line with th10 May, 2024 (E)Locus
  20. 20is the focus, is the directrix corresponding to and is the eccentricity of an ellipse. If is the centre of the ellipse, then10 May, 2024 (E)Equation of Ellipse
  21. 21and are the semi-major and semi-minor axes of an ellipse whose axes are along the coordinate axes. If its latus rectum is of length 4 units 10 May, 2024 (E)Equation of Ellipse
  22. 22If the extremities of the latus recta having positive ordinate of the ellipse lie on the parabola , then the points lie on the curve10 May, 2024 (E)Equation of Ellipse
  23. 23If is a normal to the ellipse , then09 May, 2024 (M)Normal to ellipse
  24. 24The equations of the directrices of the ellipse are09 May, 2024 (E)Equation of Ellipse
  25. 25is the end of a latus rectum of the ellipse which is lying in the third quadrant. If the normal drawn at to this ellipse intersects the elli09 May, 2024 (E)Pair of Tangents
  26. 26If the line is a tangent to the ellipse and is an acute angle then14 May, 2023 (M)Line and ellipse
  27. 27If is the tangent to the ellipse at a point then the equation of the normal to this ellipse at is14 May, 2023 (M)Normal to ellipse
  28. 28If an ellipse with its axes as coordinate axes, and as the lengths of its major and minor axes respectively passes through the points and , 14 May, 2023 (E)Equation of Ellipse
  29. 29The values of c such that the line touches the ellipse is14 May, 2023 (E)Line and ellipse
  30. 30Let and be the foci of an ellipse and be one end of its minor axis. Let and be a point on . If -axis is the major axis and -axis is the mino13 May, 2023 (M)Equation of Ellipse
  31. 31If is a normal to the ellipse , then13 May, 2023 (M)Normal to ellipse
  32. 32In an ellipse, the distance from one of the foci to its corresponding end of the major axis is and the distance from same focus to one end o13 May, 2023 (E)Equation of Ellipse
  33. 33If the equations represent an ellipse, then the point of intersection of the normal drawn at to this ellipse and its major axis is13 May, 2023 (E)Normal to ellipse
  34. 34A particle is travelling in clockwise direction on the ellipse . If the particle leaves the ellipse at the point on it and travels along the12 May, 2023 (M)Tangent to ellipse
  35. 35If an ellipse with foci at and is passing through the origin, then the eccentricity of that ellipse is12 May, 2023 (M)Equation of Ellipse
  36. 36The locus of the mid points of the intercepted portion of the tangents by the coordinate axes, which are drawn to the ellipse is12 May, 2023 (E)Tangent to ellipse
  37. 37The product of the lengths of the perpendiculars drawn from the two foci of the ellipse to the tangent at any point on the ellipse is12 May, 2023 (E)Tangent to ellipse
  38. 38Tangents are drawn to the ellipse at all the ends of its latus rectum. The area of the quadrilateral so formed (in sq. units) is12 May, 2023 (E)Tangent to ellipse
  39. 39The length of the latus rectum of an ellipse is 6 units and the distance between a focus and its nearest vertex on the major axis is units. 20 Jul, 2022 (M)Equation of Ellipse
  40. 40If the line cuts the ellipse , in and and is the midpoint of , then20 Jul, 2022 (M)Chord with given Middle Point
  41. 41If is the length of the latus rectum and is the length of the major axis of the ellipse , then the ordered pair20 Jul, 2022 (E)Equation of Ellipse
  42. 42If and are two points on the ellipse and the locus of midpoint of PQ is , then20 Jul, 2022 (E)Locus
  43. 43If is the equation of the ellipse for which distance between its foci is 2 and distance between its directrices is 5 , then19 Jul, 2022 (M)Equation of Ellipse
  44. 44Assertion (A): The image of in the line is Reason (R): The image of a curve ' ' in a line is the locus of the image of every point of with r19 Jul, 2022 (M)Equation of Ellipse
  45. 45If and are the ends of a focal chord of the parabola and is the focus of the parabola then19 Jul, 2022 (E)Equation of Ellipse
  46. 46Statement I : The equation of the directrix of the ellipse is Statement II : The equation of the latus rectum of the ellipse is Which of the19 Jul, 2022 (E)Equation of Ellipse
  47. 47If the eccentricity and the length of the latus rectum of an ellipse x 2 a 2 + y 2 b 2 = 1 are 3 2 and 1 respectively, then the sum of the l18 Jul, 2022 (M)Equation of Ellipse
  48. 48The parametric equations of the ellipse whose foci are - 3 , 0 , 9 , 0 and eccentricity is 1 3 , are18 Jul, 2022 (M)Equation of Ellipse
  49. 49Let S x 2 a 2 + y 2 b 2 - 1 = 0 , S x 2 2 + y 2 2 - 1 = 0 be two intersecting ellipses. If P a cos , b sin and Q a cos 2 + , b sin 2 + are t18 Jul, 2022 (E)Equation of Ellipse
  50. 50P 1 and Q 2 are two points on the ellipse x 2 a 2 + y 2 b 2 = 1 with eccentricity e . If P S Q is a focal chord and tan 1 2 tan 2 2 = - 2 2 18 Jul, 2022 (E)Chord of ellipse

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 119 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 Ellipse chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

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

Ellipse has appeared in 24 of the 25 years of TS EAMCET papers covered here, with 119 questions across 63 papers - about 2 per paper it appears in.

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

Of the 119 questions analysed for this chapter, 39% are easy, 41% moderate and 19% tough. 2020 had the most, with 14 questions.

5.Which topics in Ellipse should I focus on?

These topics have carried the most weightage in Ellipse:

  • Equation of Ellipse - 60 questions (50%)
  • Tangent to ellipse - 16 questions (13%)
  • Line and ellipse - 11 questions (9%)
  • Tangent to ellipse has produced the most tough questions (6).
6.Is Ellipse's weightage in TS EAMCET going up or down?

Across all 63 papers analysed, Ellipse has averaged about 1.9 questions per paper. In the last three years (2022–2024), that average has risen, at about 2.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.