Jump to a section

Mathematics - Circle

Practise 47 COMEDK previous year questions on Circle, 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.

Circle has been asked in 12 of the 15 years of COMEDK papers analysed (2012–2026), with 47 questions in all. 51% of them were easy, 40% moderate and 9% tough. Most of its questions came from 2023, with 7 questions that year. In the last three years (2024–2026) it had 8 questions across 5 papers, about 1.6 per paper.

The chapter's 12 topics are not weighted equally: Equation of Circle & its intercept (14 questions, 30%), Common Tangents (6 questions, 13%), and Position of point (6 questions, 13%) have been asked the most. Equation of Circle & its intercept has also led over the last five years, with 9 questions. Common Chord has produced the most tough questions (1).

  1. 1The radius of a circle is 5 cm . A chord of this circle is equal to the radius. Then the length of the arc of this chord is:09 May, 2026 (S1)line and circle
  2. 2Equation of a circle whose area is 154 sq units and having and as diameters is10 May, 2025 (S1)Equation of Circle & its intercept
  3. 3The equation of the circle which touches the -axis, passes through the point and whose centre lies on the line in the first quadrant is2024 (Evening Shift)Equation of Circle & its intercept
  4. 4The radius and centre of circle which equation is is2024 (Memory Based)Equation of Circle & its intercept
  5. 5The length of -intercept of the circle is2024 (Memory Based)Equation of Circle & its intercept
  6. 6If and are two circles. Then the point lies2024 (Memory Based)Position of point
  7. 7The number of common tangent to the circle and2024 (Memory Based)Common Tangents
  8. 8The equation of a circle passing through the origin is . The equation of one of its diameter is2024 (Morning Shift)Equation of Circle & its intercept
  9. 9The centre of the circle passing through and and touching the circle is2023 (Evening Shift)Equation of Circle & its intercept
  10. 10The points of intersection of circles and are , then equals to2023 (Memory Based)Intersection of Circles
  11. 11The circle cuts an intercept on -axis of length2023 (Memory Based)Equation of Circle & its intercept
  12. 12the point lies2023 (Memory Based)Position of point
  13. 13and are two circles the point lies2023 (Morning Shift)Position of point
  14. 14The circle cuts an intercept on -axis of length2023 (Morning Shift)Equation of Circle & its intercept
  15. 15The points of intersection of circles and are , then equals to2023 (Morning Shift)Common Chord
  16. 16If two circles and intersect in two distinct points, then2022Intersection of Circles
  17. 17The circle cuts an intercept on -axis of length2022Equation of Circle & its intercept
  18. 18and are two circles. The point lies2022Position of point
  19. 19What will be the equation of circle whose centre is and touches - axis?2021Equation of Circle & its intercept
  20. 20Find the centre and radius of the circle given by the equation .2021Equation of Circle & its intercept
  21. 21What will be the equation of the circle whose centre is and which passes through the point ?2021Equation of Circle & its intercept
  22. 22The number of common tangents to the circles and is,2020Common Tangents
  23. 23If is a tangent to the circle , the values of are2020Tangent to circle
  24. 24The equation to two circles which touch the -axis at and make an intercept of 8 units on -axis are2020Equation of Circle & its intercept
  25. 25, , . If the Radical centre of the above three circles exists, then which of the following cannot be the value of ?2020Radical axis and centre
  26. 26If the circles and cut orthogonally, then the length of the common chord of the circles is2020Common Chord
  27. 27The point lies outside the circle2019Position of point
  28. 28If the circle and touch each other internally, then2019Common Tangents
  29. 29The equation of the smallest circle passing through the points and is2019Equation of Circle & its intercept
  30. 30If a circle with the point as its center touches the straight line , then the coordinates of the points of contact is2018line and circle
  31. 31If the circles and touch each other, then2018Family of Circle
  32. 32The number of common tangents to the circles and is2018Common Tangents
  33. 33The length of the tangent drawn from any point on the circle to the circle is2018Tangent to circle
  34. 34The point lies outside the circle2018Position of point
  35. 35The equation of the circle having and as two tangents and as a diameter is2016Locus
  36. 36If the length of the tangent from any point on the circle to the circle is 16 units, then the area between the two circles in sq units is2016Tangent to circle
  37. 37The circles and and cut orthogonally if2016Intersection of Circles
  38. 38The equation of the common tangent of the two touching circles, and is2016Common Tangents
  39. 39The equation of the line which is tangent to both the circle and the parabola is2016Tangent to circle
  40. 40The co-axial system of circles given by for represents2013General Equation of 2nd degree curve
  41. 41The radius of the circle passing through the point and two of whose diameters are and is2013General Equation of 2nd degree curve
  42. 42The circle touches2013General Equation of 2nd degree curve
  43. 43The value of so that and cut orthogonally is2013Intersection of Circles
  44. 44If the area of the circle is sq units, then the value of is2012General Equation of 2nd degree curve
  45. 45The number of common tangents to the circles and is2012Common Tangents
  46. 46Equation of the chord of the circle bisected at is2012Chord with given Middle Point
  47. 47The angle between the circles2012Intersection of Circles

Frequently Asked Questions

1.How many questions are available for Circle?

This chapter includes 47 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 Circle chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Circle an important chapter for COMEDK Mathematics?

Circle has appeared in 12 of the 15 years of COMEDK papers covered here, with 47 questions across 16 papers - about 3 per paper it appears in.

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

Of the 47 questions analysed for this chapter, 51% are easy, 40% moderate and 9% tough. 2023 had the most, with 7 questions.

5.Which topics in Circle should I focus on?

These topics have carried the most weightage in Circle:

  • Equation of Circle & its intercept - 14 questions (30%)
  • Common Tangents - 6 questions (13%)
  • Position of point - 6 questions (13%)
  • Common Chord has produced the most tough questions (1).
6.Is Circle's weightage in COMEDK going up or down?

Across all 16 papers analysed, Circle has averaged about 2.9 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.6 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.