Jump to a section

Mathematics - Circle

Practise 349 TS EAMCET previous year questions on Circle, 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.

Circle has been asked in 24 of the 24 years of TS EAMCET papers analysed (2001–2024), with 349 questions in all. 34% of them were easy, 52% moderate and 15% tough. Most of its questions came from 2023, with 41 questions that year. In the last three years (2022–2024) it had 111 questions across 17 papers, about 6.5 per paper.

The chapter's 17 topics are not weighted equally: Equation of Circle & its intercept (62 questions, 18%), Tangent to circle (48 questions, 14%), and Intersection of Circles (41 questions, 12%) have been asked the most. Equation of Circle & its intercept has also led over the last five years, with 30 questions. Tangent to circle has produced the most tough questions (8).

  1. 1If the length of the chord of the circle is , then the sum of all possible values of is04 May, 2025 (M)line and circle
  2. 2The power of a point with respect to a circle C of radius 4 is 9. The centre of the circle C lies on the line and in the quadrant. If is the04 May, 2025 (M)Circle
  3. 3The angle between the tangents drawn from the point to the circle is . If the coordinates of P are integers, then04 May, 2025 (M)Tangent to circle
  4. 4The tangents drawn from a point touch the circle at the points A and B. If C is the centre of the circle, then the area (in sq. units) of th04 May, 2025 (M)Tangent to circle
  5. 5If is the angle between the circles and , then04 May, 2025 (M)Intersection of Circles
  6. 6If the line cuts the circle at two points A and B then the radius of the circle passing through and orthogonal to is04 May, 2025 (M)Circle
  7. 7The radius of the circle having three chords along -axis, the line and the line is04 May, 2025 (E)Circle
  8. 8Among the chords of the circle , the number of chords having their midpoints on the line and having their slopes as integers is04 May, 2025 (E)Chord of Contact
  9. 9The equation of the circle which touches the circle at the point internally and having radius equal to half of the radius of the circle is04 May, 2025 (E)Circle
  10. 10If is the inverse point of with respect to a circle with centre , then the radius of that circle is04 May, 2025 (E)Circle
  11. 11If the circle intersect the three circles , and orthogonally, then radical axis of and is04 May, 2025 (E)Radical axis and centre
  12. 12If a tangent to the circle is radical axis of the circles and , then04 May, 2025 (E)Common Chord
  13. 13A circle C touches X -axis and makes an intercept of length 2 units on Y -axis. If the centre of this circle lies on the line then a circle 03 May, 2025 (M)Circle
  14. 14If are the slopes of the tangents drawn through the point to the circle , then03 May, 2025 (M)Tangent to circle
  15. 15A line meets the circle in two points A and B. If is a point on the circle such that then the equation of the line AB is03 May, 2025 (M)Circle
  16. 16If the centre of a circle cutting the circles and orthogonally lies on the line , then03 May, 2025 (M)Circle
  17. 17The radius of a circle is thrice the radius of another circle and the centres of and are and respectively. If they cut each other orthogonal03 May, 2025 (M)Intersection of Circles
  18. 18If is the centre of the circle and A is a point on the circle such that its distance from a point is least, then03 May, 2025 (E)Position of point
  19. 19Two circles which touch both the coordinate axes intersect at the points A and B. If , then03 May, 2025 (E)Chord of Contact
  20. 20The line intersects the circle at two points A, B and . If is a point on the given circle and , then03 May, 2025 (E)Circle
  21. 21If and are the equations of the normals drawn to a circle and is a point on the given circle, then the radius of the circle is03 May, 2025 (E)Tangent to circle
  22. 22If is the centre of the circle which passes through the point and cuts the circles orthogonally, then03 May, 2025 (E)Circle
  23. 23The centre of the circle touching the circles , at their point of contact and passing through the point is03 May, 2025 (E)Family of Circle
  24. 24If the equation of the circle passing through the points is then02 May, 2025 (M)Equation of Circle & its intercept
  25. 25For the circle where is the parameter, the line , where r is the parameter, is a02 May, 2025 (M)Circle
  26. 26If is a tangent drawn at a point P on the circle , then the distance of the point from P is02 May, 2025 (M)Tangent to circle
  27. 27If are the points of contact of the tangents drawn from the point to the circle , then the equation of the circumcircle of the triangle PAB 02 May, 2025 (M)Tangent to circle
  28. 28If the angle between the circles and is and then the point which lies on the radical axis of the given circles is02 May, 2025 (M)Intersection of Circles
  29. 29A circle C passing through the point bisects the circumference of the circle . If C is orthogonal to the circle then the centre of the circl02 May, 2025 (M)Intersection of Circles
  30. 30The slope of a common tangent to the circles and is02 May, 2025 (E)Tangent to circle
  31. 31The equation of the circle whose radius is 3 and which touches the circle internally at is02 May, 2025 (E)Circle
  32. 32Suppose C1 and C2 are two circles having no common points, then02 May, 2025 (E)Common Tangents
  33. 33The locus of the centre of the circle touching the -axis and passing through the point is02 May, 2025 (E)Locus
  34. 34The centres of all circles passing through the points of intersection of the circles and and having radius lie on the curve02 May, 2025 (E)Family of Circle
  35. 35A circle S given by cuts the X -axis at A and . C is midpoint of is a line through C and having slope . If L is the diameter of a circle and02 May, 2025 (E)Circle
  36. 36P and Q are the points of trisection of the line segment joining the points and . If subtends right angle at a variable point , then the loc11 May, 2024 (M)Intersection of Circles
  37. 37If are two vertices of an acute angled triangle and is its circumcentre, then the angle subtended by AB at the third vertex is11 May, 2024 (M)Locus
  38. 38A circle passing through the points and touches the line . If the equation of this circle is , then a possible value of is11 May, 2024 (M)Tangent to circle
  39. 39A circle passes through the points and . If the power of the point with respect to this circle is 4 , then the radius of the circle is11 May, 2024 (M)Equation of Circle & its intercept
  40. 40is a normal to the circle . If the line touches this circle, then the radius of the circle can be11 May, 2024 (M)line and circle
  41. 41The line intersects the circle at the points A and B. If is the midpoint of AB , then11 May, 2024 (M)line and circle
  42. 42A circle passes through the points of intersection of the circles and . If is a tangent to the circle , then equation of is11 May, 2024 (M)General Equation of 2nd degree curve
  43. 43If the common chord of the circles 0 and is the diameter of a circle , then the centre of the circle is11 May, 2024 (M)Chord of Contact
  44. 44is a point on the circle passing through the points and . If , then10 May, 2024 (M)Equation of Circle & its intercept
  45. 45If the tangents and drawn to the circle are perpendicular to each other and are both greater than 1 , then10 May, 2024 (M)Pair of Tangents
  46. 46If ( ) is the internal centre of similitude of the circles and , then10 May, 2024 (M)Equation of Circle & its intercept
  47. 47The slope of a common tangent to the circles and is10 May, 2024 (M)Common Tangents
  48. 48and are two intersecting circles and is not an integer. If is the angle between the two circles and , then10 May, 2024 (M)Intersection of Circles
  49. 49If is the centre of the circle which cuts the three circles and orthogonally, then10 May, 2024 (M)Intersection of Circles
  50. 50A rhombus is inscribed in the region common to the two circles and . If the line joining the centres of these circles and the common chord o10 May, 2024 (E)Common Chord

Frequently Asked Questions

1.How many questions are available for Circle?

This chapter includes 349 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 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 TS EAMCET Mathematics?

Circle has appeared in 25 of the 25 years of TS EAMCET papers covered here, with 349 questions across 64 papers - about 5 per paper it appears in.

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

Of the 349 questions analysed for this chapter, 34% are easy, 52% moderate and 15% tough. 2023 had the most, with 41 questions.

5.Which topics in Circle should I focus on?

These topics have carried the most weightage in Circle:

  • Equation of Circle & its intercept - 62 questions (18%)
  • Tangent to circle - 48 questions (14%)
  • Intersection of Circles - 41 questions (12%)
  • Tangent to circle has produced the most tough questions (8).
6.Is Circle's weightage in TS EAMCET going up or down?

Across all 64 papers analysed, Circle has averaged about 5.5 questions per paper. In the last three years (2022–2024), that average has risen, at about 6.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.