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Mathematics - Circle

Practise 40 Manipal (MET) previous year questions on Circle, compiled from papers spanning 2010 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Circle has been asked in 13 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 40 questions in all. 23% of them were easy, 55% moderate and 23% tough. Most of its questions came from 2020, with 6 questions that year. In the last three years (2022–2024) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 11 topics are not weighted equally: Equation of Circle & its intercept (13 questions, 33%), Locus (9 questions, 23%), and Tangent to circle (5 questions, 13%) have been asked the most. Equation of Circle & its intercept has also led over the last five years, with 2 questions. Locus has produced the most tough questions (3).

  1. 1The equation of mirror image of the circle about the line mirror is2024Equation of Circle & its intercept
  2. 2The differential equation of all circles which pass through the origin and whose centres lies on -axis is2023Family of Circle
  3. 3The differential equation of all circles passing through the origin and having their centre on the -axis is2022Equation of Circle & its intercept
  4. 4Equation of tangent to the circle perpendicular to is given by2020Tangent to circle
  5. 5The locus of centre of circles which cuts orthogonally the circle and touches , is2020Locus
  6. 6The radical centre of the system of circles, and is2020Radical axis and centre
  7. 7The point on the straight line which is nearest to the circle , is2020line and circle
  8. 8The number of common tangents to two circles and is2020Common Tangents
  9. 9The graph of the equation in three dimensional space is2020General Equation of 2nd degree curve
  10. 10The normal at the point on a circle cuts the circle at the point . Then the equation of the circle is2019Tangent to circle
  11. 11The locus of the point of intersection of two perpendicular tangents to a circle is called2017Locus
  12. 12The equation of the circle passing through the point and whose radical axis is with respect to the circle , will be2016Position of point
  13. 13The condition that the straight line may touch the circle is2016Tangent to circle
  14. 14The locus of the mid-points of the chords of the circle which are tangent to the hyperbola , is2016Locus
  15. 15The centre of the circle passing through and and touching the circle , is2015Family of Circle
  16. 16If is a tangent to the circle with centre at the point , then the equation of the other tangent to the circle from the origin, is2015Tangent to circle
  17. 17The radius of the circle passing through the foci of the ellipse and having its centre at , is2015Equation of Circle & its intercept
  18. 18A circle of radius 2 is touching both the axes and a circle with centre . The distance between their centres is2014Equation of Circle & its intercept
  19. 19If the line moves such that , then the locus of the foot of the perpendicular from the origin io the line is2014Locus
  20. 20A rhombus is inscribed in the region common to the two circles and with two of its vertices on the line joining the centres of the circles. 2014Equation of Circle & its intercept
  21. 21The equation of the curve for which the square of the ordinate is twice the rectangle contained by the abscissa and the intercept of the nor2014Locus
  22. 22The equation of circle which passes through the origin and cuts off intercepts 5 and 6 from the positive parts of the axes respectively, is 2014Equation of Circle & its intercept
  23. 23The values of for which the point lies in the larger segment of the circle made by the chord whose equation is is2013line and circle
  24. 24The circles whose equations are and will touch each other externally if2013Intersection of Circles
  25. 25The tangents to having inclinations and intersect at . If , then the locus of is2013Locus
  26. 26The curve for which the length of the normal is equal to the length of the radius vector, are2013Equation of Circle & its intercept
  27. 27The locus of the mid-points of the chord of the circle which subtends a right angle at the origin, is2012Locus
  28. 28From a point common tangents are drawn to the circle and parabola . The area of the quadrilateral formed by the common tangents to the chord2012Common Tangents
  29. 29If , then positive value of for which is a common tangent to and is2012Common Tangents
  30. 30The equation of the circle passing through and the points of intersection of and is2012Equation of Circle & its intercept
  31. 31The equation of the circle which passes through the points and and the centre lies on the straight line , is2011Equation of Circle & its intercept
  32. 32The angle of intersection of ellipse and circle is2011Intersection of Circles
  33. 33If the circle is touched by at such that , then the value of is2011Tangent to circle
  34. 34A circle touches the -axis and also touches the circle which centre at and radius 2 . The locus of the centre of the circle is2011Locus
  35. 35The circle on focal radii of a parabola as diameter touches2011Equation of Circle & its intercept
  36. 36Consider four circles , then the equation of smaller circle touching these four circle is2010Equation of Circle & its intercept
  37. 37The locus of the point of intersection of tangents to the circle at the points, whose parametric angles differe by , is2010Locus
  38. 38The equation of the circle passing through and and having the smallest possible radius is2010Equation of Circle & its intercept
  39. 39The length of the common chord of the two circles and is2010Common Chord
  40. 40If are four distinct points on a circle, then2010Equation of Circle & its intercept

Frequently Asked Questions

1.How many questions are available for Circle?

This chapter includes 40 questions compiled from Manipal (MET) papers spanning 2010 to 2024.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Circle has appeared in 13 of the 15 years of Manipal (MET) papers covered here, with 40 questions across 13 papers - about 3 per paper it appears in.

4.What is the difficulty level of Circle questions in Manipal (MET)?

Of the 40 questions analysed for this chapter, 23% are easy, 55% moderate and 23% tough. 2020 had the most, with 6 questions.

5.Which topics in Circle should I focus on?

These topics have carried the most weightage in Circle:

  • Equation of Circle & its intercept - 13 questions (33%)
  • Locus - 9 questions (23%)
  • Tangent to circle - 5 questions (13%)
  • Locus has produced the most tough questions (3).
6.Is Circle's weightage in Manipal (MET) going up or down?

Across all 13 papers analysed, Circle has averaged about 3.1 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.