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Mathematics - Circle

Practise 113 MHTCET previous year questions on Circle, compiled from papers spanning 2007 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 MHTCET tests.

Circle has been asked in 15 of the 17 years of MHTCET papers analysed (2007–2026), with 113 questions in all. 31% of them were easy, 62% moderate and 7% tough. Most of its questions came from 2026, with 18 questions that year. In the last three years (2024–2026) it had 52 questions across 59 papers, about 0.9 per paper.

The chapter's 14 topics are not weighted equally: Equation of Circle & its intercept (41 questions, 36%), Tangent to circle (26 questions, 23%), and Pair of Tangents (8 questions, 7%) have been asked the most. Equation of Circle & its intercept has also led over the last five years, with 26 questions. Equation of Circle & its intercept has produced the most tough questions (3).

  1. 1The equation of the circle which passes through the points and and whose centre lies on a straight line , is20 Apr, 2026 (M)Equation of Circle & its intercept
  2. 2The equation of a circle whose center lies on and touching the lines and is20 Apr, 2026 (E)Equation of Circle & its intercept
  3. 3A circle passes through the point and touches the parabola at the point . The centre of the circle is...19 Apr, 2026 (E)Tangent to circle
  4. 4Let PA and PB be the tangent segments drawn from point P to the circle with the centre at origin O. The radius of circle for which the area 19 Apr, 2026 (E)Tangent to circle
  5. 5The tangent to the circle at the point touches the circle , then the value of is...18 Apr, 2026 (M)Tangent to circle
  6. 6The area of the region (in sq. unit) bounded by x-axis, the tangent and normal to the circle , drawn at a point is18 Apr, 2026 (M)Tangent to circle
  7. 7The number of circles passing through the origin and touching the lines and is18 Apr, 2026 (E)Tangent to circle
  8. 8If a circle passes through the points and and its center lies on the straight line , then its equation is......17 Apr, 2026 (M)Equation of Circle & its intercept
  9. 9If the circles and touch each other internally then17 Apr, 2026 (E)Equation of Circle & its intercept
  10. 10The equations of the tangent to the curve , where the tangent is parallel to the line , are16 Apr, 2026 (M)Tangent to circle
  11. 11Line intersects the circle at points and . If C is the center of the circle, then the area of is...16 Apr, 2026 (E)line and circle
  12. 12The centre and radius of the circle are respectively ...15 Apr, 2026 (M)General Equation of 2nd degree curve
  13. 13The equation of the common tangent touching the circle and the parabola above the X-axis is15 Apr, 2026 (E)Common Tangents
  14. 14The angle between the tangents drawn from the origin to the circle is15 Apr, 2026 (E)Pair of Tangents
  15. 15If a circle with center touches the line , then the co-ordinates of the point of contact are13 Apr, 2026 (M)Tangent to circle
  16. 16The equation of the circle concentric with circle and which touches the line is ....13 Apr, 2026 (E)Equation of Circle & its intercept
  17. 17The equation of a circle which passes through the points and and whose center lies on the straight line is11 Apr, 2026 (M)Equation of Circle & its intercept
  18. 18If the equation represents a circle, then the area (in sq. units) of this circle is11 Apr, 2026 (E)General Equation of 2nd degree curve
  19. 19If one of the diameters of the circle, given by the equation , is a chord of a circle, 'S', whose centre is at , then the length of radius o05 May, 2025 (E)Equation of Circle & its intercept
  20. 20The number of common tangents to the circles and , is27 Apr, 2025 (E)Common Tangents
  21. 21The equation of the common tangent touching the circle and the parabola above the X -axis is27 Apr, 2025 (E)Tangent to circle
  22. 22The angle between the tangents drawn from the origin to the circle is27 Apr, 2025 (E)Tangent to circle
  23. 23The least distance of the point from the circle is length of seg. AM . If is the diameter of the circle, then the lengths of AM and are resp26 Apr, 2025 (M)Position of point
  24. 24Two tangents to the circle at the points and meet at . Then the area of quadrilateral PAOB , where 'O' is the origin is26 Apr, 2025 (E)Tangent to circle
  25. 25A pair of tangents are drawn to the circle from a point , then the area enclosed between these tangents and the area of the circle is25 Apr, 2025 (M)Tangent to circle
  26. 26If a circle with centre at touches the line then the co-ordinates of the point of contact are25 Apr, 2025 (E)Tangent to circle
  27. 27Let the circle with centre at origin pass through the vertices of an equilateral triangle . If , then the length of the median through A is23 Apr, 2025 (M)Equation of Circle & its intercept
  28. 28The equations of the tangents to the circle which are perpendicular to the line are23 Apr, 2025 (E)Tangent to circle
  29. 29If the tangent and the normal at the point to the circle , and the X -axis form a triangle, then the area (in sq.units) of this triangle is22 Apr, 2025 (M)Tangent to circle
  30. 30The equations of the tangents to the circle which are perpendicular to the line , are22 Apr, 2025 (E)Tangent to circle
  31. 31The minimum distance and maximum distance of the point from the circle are respectively _______ units21 Apr, 2025 (M)Position of point
  32. 32The locus of point of intersection of the tangents to the circle , such that the angle between them is , is21 Apr, 2025 (E)Pair of Tangents
  33. 33The equation of the circle passing through the point and having two diameters along the pair of lines is20 Apr, 2025 (M)Equation of Circle & its intercept
  34. 34The number of integral values of for which represents a circle whose radius cannot exceeds 5, are20 Apr, 2025 (E)Equation of Circle & its intercept
  35. 35The number of common tangents that can be drawn to the circles and is .....19 Apr, 2025 (M)Common Tangents
  36. 36The equation of the circle, concentric with the circle and double of its area is16 May, 2024 (M)Coaxial systems of circles
  37. 37One end of the diameter of the circle is , then the equation of the tangent at the other end of the diameter is16 May, 2024 (E)Tangent to circle
  38. 38The number of common tangents to the circles and is /are15 May, 2024 (M)Tangent to circle
  39. 39If the sides of a rectangle are given by the equations , then the equation of the circle, drawn on the diagonal of this rectangle as its dia15 May, 2024 (E)Equation of Circle & its intercept
  40. 40The equation of the tangent to the circle, given by at the point on it, is11 May, 2024 (M)Tangent to circle
  41. 41The parametric equations of the circle are11 May, 2024 (E)Equation of Circle & its intercept
  42. 42The abscissae of the two points A and B are the roots of the equation and their ordinates are roots of the equation . Then the equation of t10 May, 2024 (M)Equation of Circle & its intercept
  43. 43Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point on the circumfere10 May, 2024 (E)Pair of Tangents
  44. 44The equation of the circle, the end points of whose diameter are the centres of the circles and is is09 May, 2024 (M)Equation of Circle & its intercept
  45. 45The equation of the circle, concentric with the circle and touching the X -axis is09 May, 2024 (E)Equation of Circle & its intercept
  46. 46The equation of the çircle which has its centre at the point and touches the line is04 May, 2024 (M)Locus
  47. 47The equation of the circle which passes through the centre of the circle and concentric which the circle is04 May, 2024 (E)Equation of Circle & its intercept
  48. 48The equation of the concentric circle, with the circle having equation and having double area compared to the area of , is03 May, 2024 (M)Equation of Circle & its intercept
  49. 49The differential equation of family of circles, whose centres are on the X -axis and also touch the Y -axis is03 May, 2024 (M)Family of Circle
  50. 50The tangent to the circle at also touches the circle then the co-ordinates of the corresponding point of contact is03 May, 2024 (E)Tangent to circle

Frequently Asked Questions

1.How many questions are available for Circle?

This chapter includes 113 questions compiled from MHTCET papers spanning 2007 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Circle has appeared in 15 of the 17 years of MHTCET papers covered here, with 113 questions across 95 papers - about one per paper it appears in.

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

Of the 113 questions analysed for this chapter, 31% are easy, 62% moderate and 7% tough. 2026 had the most, with 18 questions.

5.Which topics in Circle should I focus on?

These topics have carried the most weightage in Circle:

  • Equation of Circle & its intercept - 41 questions (36%)
  • Tangent to circle - 26 questions (23%)
  • Pair of Tangents - 8 questions (7%)
  • Equation of Circle & its intercept has produced the most tough questions (3).
6.Is Circle's weightage in MHTCET going up or down?

Across all 95 papers analysed, Circle has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.9 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.