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Mathematics - Circle

Practise 33 VITEEE previous year questions on Circle, compiled from papers spanning 2006 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 VITEEE tests.

Circle has been asked in 14 of the 18 years of VITEEE papers analysed (2006–2024), with 33 questions in all. 45% of them were easy, 36% moderate and 18% tough. Most of its questions came from 2006, with 5 questions that year. In the last three years (2022–2024) it had 4 questions across 2 papers, about 2 per paper.

The chapter's 11 topics are not weighted equally: Tangent to circle (8 questions, 24%), Coaxial systems of circles (5 questions, 15%), and Equation of Circle & its intercept (4 questions, 12%) have been asked the most. Tangent to circle has also led over the last five years, with 2 questions. Family of Circle has produced the most tough questions (3).

  1. 1If two different circles and touches each other, then is equal to2024Family of Circle
  2. 2If the tangent at the point on the circle meets the straight line at the point on the -axis, then length of is2024Tangent to circle
  3. 3The area of circle touching parabola at and having directrix of as its normal is , then is2024Area of Circle
  4. 4Two common tangents to the circle \(x^2+y^2=2 a^2\) and parabola \(y^2=8 a x\) are2022Tangent to circle
  5. 5Radius of the circle is2021Equation of Circle & its intercept
  6. 6If the coordinates at one end of a diameter of the circle are , then the coordinates at the other end are2019Equation of Circle & its intercept
  7. 7If the lines and are tangents to a circle, then radius of the circle is2019Tangent to circle
  8. 8A circle has radius 3 and its centre lies on the line . The equation of the circle, if it passes through , is2019Equation of Circle & its intercept
  9. 9Let be the centre of the circle , and and are points on the circle then, if tangents be drawn at and , which meet at , then area of quadrila2017Pair of Tangents
  10. 10The angle between a pair of tangents drawn from a point to the circle is The equation of the locus of the point is2017Pair of Tangents
  11. 11The equation of one of the common tangents to the parabola and is2016Common Tangents
  12. 12The number of common tangents to the circles and is2016Common Tangents
  13. 13The centres of a set of circles, each of radius 3 , lie on the circle . The locus of any point in the set is2013Locus
  14. 14The angle of intersection of the circles and is2013Intersection of Circles
  15. 15The lines and are diameters of a circle of area units, then the equation of the circle is2012Family of Circle
  16. 16If lies on the circle , which is concentric with the circle , then is equal to2012Coaxial systems of circles
  17. 17The tangent at to the curve touches the circle at2012Tangent to circle
  18. 18The number of common tangents to the circles and is2011Common Tangents
  19. 19The area bounded by the curve -axis and the lines , is2010Coaxial systems of circles
  20. 20The two curves and intersect at an angle2010Tangent to circle
  21. 21The equations of the circle which pass through the origin and makes intercepts of lengths 4 and 8 on the and -axes respectively are2009Tangent to circle
  22. 22The point lies on both the circles and Then, the angle between the circles is2009Common Chord
  23. 23The equation of the circle which passes through the origin and cuts orthogonally each of the circles and is2009Position of point
  24. 24A manufacturer of cotter pins knows that of his product is defective. He sells pins in boxes of 100 and guarantees that not more than one pi2008Coaxial systems of circles
  25. 25The value of is equal to2007Tangent to circle
  26. 26The area of the region bounded by the straight lines and and the curves and is equal to2007Common Chord
  27. 27The value of is equal to2007Position of point
  28. 28The number of real roots of the equation is2007Family of Circle
  29. 29The value of , for which the matrix is singular, is2006Coaxial systems of circles
  30. 30If and are the roots of the equation , then the value of is2006Equation of Circle & its intercept
  31. 31The region of the argand plane defined by is2006Family of Circle
  32. 32In a model, it is shown that an arc of a bridge is semielliptical with major axis horizontal. If the length of the base is and the highest p2006Coaxial systems of circles
  33. 33The maximum value of is2006Tangent to circle

Frequently Asked Questions

1.How many questions are available for Circle?

This chapter includes 33 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Circle has appeared in 14 of the 18 years of VITEEE papers covered here, with 33 questions across 14 papers - about 2 per paper it appears in.

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

Of the 33 questions analysed for this chapter, 45% are easy, 36% moderate and 18% tough. 2006 had the most, with 5 questions.

5.Which topics in Circle should I focus on?

These topics have carried the most weightage in Circle:

  • Tangent to circle - 8 questions (24%)
  • Coaxial systems of circles - 5 questions (15%)
  • Equation of Circle & its intercept - 4 questions (12%)
  • Family of Circle has produced the most tough questions (3).
6.Is Circle's weightage in VITEEE going up or down?

Across all 14 papers analysed, Circle has averaged about 2.4 questions per paper. In the last three years (2022–2024), that average has fallen, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.