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Mathematics - Ellipse

Practise 21 COMEDK previous year questions on Ellipse, compiled from papers spanning 2012 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty COMEDK tests.

Ellipse has been asked in 11 of the 15 years of COMEDK papers analysed (2012–2026), with 21 questions in all. 57% of them were easy, 43% moderate and 0% tough. Most of its questions came from 2026, with 3 questions that year. In the last three years (2024–2026) it had 7 questions across 6 papers, about 1.2 per paper.

The chapter's 4 topics are not weighted equally: Equation of Ellipse (14 questions, 67%), General Equation of 2nd degree curve (5 questions, 24%), and Auxillary Circle (1 question, 5%) have been asked the most. Equation of Ellipse has also led over the last five years, with 7 questions.

  1. 1The length of the latus rectum of the curve represented by and is:09 May, 2026 (S1)Equation of Ellipse
  2. 2The foci of a hyperbola are the same as those of the ellipse with equation . If the length of the transverse axis of this hyperbola is , the09 May, 2026 (S2)Equation of Ellipse
  3. 3If the two ends of the major axis of an ellipse are and and one focus lies on the line , then its equation is09 May, 2026 (S2)Equation of Ellipse
  4. 4If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is10 May, 2025 (S1)Equation of Ellipse
  5. 5The radius of the circle passes through the foci of a conic and has its centre at , then the diameter of the circle is ---10 May, 2025 (S2)Equation of Ellipse
  6. 6If an ellipse has an equation in the standard form and it passes through the points and then the length of its latus rectum is2024 (Afternoon Shift)Equation of Ellipse
  7. 7The equation of an ellipse, whose focus is , directrix is and whose eccentricity is a root of the quadratic equation , is2024 (Morning Shift)General Equation of 2nd degree curve
  8. 8If the length of the major axis of an ellipse is 3 times the length of the minor axis, then its eccentricity is2023 (Evening Shift)Equation of Ellipse
  9. 9If the area of the auxillary circle of the ellipse is twice the area of the ellipse, then the eccentricity of the ellipse is2020Auxillary Circle
  10. 10If is any point on the ellipse , and and are the foci, then2020Equation of Ellipse
  11. 11The equation represents an ellipse if2019General Equation of 2nd degree curve
  12. 12The locus of a point which moves such that the sum of its distances from two fixed points is a constant is2019General Equation of 2nd degree curve
  13. 13If the foci of the ellipse and the hyperbola coincide, then the value of is2018General Equation of 2nd degree curve
  14. 14The latusrectum of the ellipse is half the minor axis. Then, its eccentricity is2018General Equation of 2nd degree curve
  15. 15The locus of the point which moves such that the ratio of its distances from two fixed points in the plane is always a constant is2016Locus
  16. 16and are the parametric equations of2016Equation of Ellipse
  17. 17The equation of the ellipse whose centre is at the origin and the -axis is major axis, which passes through the points and is2014Equation of Ellipse
  18. 18For the ellipse the eccentricity is equal to2013Equation of Ellipse
  19. 19If the foci of the ellipse and the hyperbola coincide then the value of is2013Equation of Ellipse
  20. 20A man running a race-course notes that the sum of the distances from the two flag posts from him is always and the distance between the flag2012Equation of Ellipse
  21. 21Area of the ellipse is given by2012Equation of Ellipse

Frequently Asked Questions

1.How many questions are available for Ellipse?

This chapter includes 21 questions compiled from COMEDK papers spanning 2012 to 2026.

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

These are COMEDK 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 COMEDK Mathematics?

Ellipse has appeared in 11 of the 15 years of COMEDK papers covered here, with 21 questions across 14 papers - about 2 per paper it appears in.

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

Of the 21 questions analysed for this chapter, 57% are easy, 43% moderate and 0% tough. 2026 had the most, with 3 questions.

5.Which topics in Ellipse should I focus on?

These topics have carried the most weightage in Ellipse:

  • Equation of Ellipse - 14 questions (67%)
  • General Equation of 2nd degree curve - 5 questions (24%)
  • Auxillary Circle - 1 question (5%)
6.Is Ellipse's weightage in COMEDK going up or down?

Across all 14 papers analysed, Ellipse has averaged about 1.5 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.2 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.