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Mathematics - Area Under Curves

Practise 60 AP EAMCET previous year questions on Area Under Curves, 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 AP EAMCET tests.

Area Under Curves has been asked in 20 of the 24 years of AP EAMCET papers analysed (2001–2024), with 60 questions in all. 37% of them were easy, 53% moderate and 10% tough. Most of its questions came from 2023, with 8 questions that year. In the last three years (2022–2024) it had 15 questions across 28 papers, about 0.5 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (44 questions, 73%), Area bounded by Miscellaneous Curves (9 questions, 15%), and Area of Curve along axis (7 questions, 12%) have been asked the most. Area bounded by two curves has also led over the last five years, with 14 questions. Area bounded by two curves has produced the most tough questions (4).

  1. 1The area (in sq. units) of the region given by is27 May, 2025 (M)Area bounded by two curves
  2. 2The area of the region (in sq.units) bounded by the curves and is26 May, 2025 (E)Area bounded by two curves
  3. 3The area (in sq.units) of the region bounded by the curves and is24 May, 2025 (M)Area bounded by two curves
  4. 4The area (in sq. units) of the region bounded by the lines and is23 May, 2025 (M)Area bounded by two curves
  5. 5Area of the region (in sq. units) bounded by the curve , and the X -axis is23 May, 2025 (E)Area of Curve along axis
  6. 6The area of the region lying between the curves and the Y-axis is22 May, 2025 (M)Area bounded by two curves
  7. 7The area of the region (in sq. units) enclosed between the curves and the ordinates is21 May, 2025 (E)Area of Curve along axis
  8. 8If is the stationary point of the curve , then the area bounded by the curves and is23 May, 2024 (M)Area bounded by Miscellaneous Curves
  9. 9The area (is sq. units) bounded by the curves and is22 May, 2024 (M)Area bounded by two curves
  10. 10The area of the region under the curve , and above -axis, is (in square units)21 May, 2024 (M)Area bounded by Miscellaneous Curves
  11. 11Area of the region enclosed by the curves and is21 May, 2024 (E)Area bounded by two curves
  12. 12Area of the region (in square units) enclosed by the curves and the Y -axis is20 May, 2024 (M)Area bounded by Miscellaneous Curves
  13. 13The area (in sq. units) of the smaller region lying above the X-axis and bounded between the circle and the parabola is19 May, 2024 (E)Area bounded by Miscellaneous Curves
  14. 14The area of the region (in sq. units) enclosed by the curve and the -axis is18 May, 2024 (M)Area of Curve along axis
  15. 15The area (in sq. units) bounded by the curves , and is18 May, 2023 (M)Area bounded by two curves
  16. 16The area bounded by and is18 May, 2023 (E)Area bounded by Miscellaneous Curves
  17. 17The area (in sq. units) bounded by and is17 May, 2023 (M)Area bounded by two curves
  18. 18The area bounded by the curve and is17 May, 2023 (E)Area bounded by two curves
  19. 19The area bounded by the curves and the -axis between and is16 May, 2023 (M)Area bounded by two curves
  20. 20The area bounded by the curve , the lines and is16 May, 2023 (E)Area bounded by two curves
  21. 21The area (in sq. units) bounded by the curves , and the - axis is15 May, 2023 (M)Area bounded by two curves
  22. 22The area (in sq. units) of the region bounded by the curves and from to is15 May, 2023 (E)Area bounded by two curves
  23. 23If the area of the region enclosed by the curve and then lines and is sq units, then equals25 Aug, 2021 (M)Area bounded by Miscellaneous Curves
  24. 24The area enclosed by the curves , and is.......... sq units.23 Aug, 2021 (E)Area of Curve along axis
  25. 25The area of the triangle formed by the lines joining the vertex of the parabola to the ends of its latus rectum is equal to sq. units07 Oct, 2020 (Special)Area of Curve along axis
  26. 26Calculate the area enclosed by the curves x 2 = 2 - y , x 2 = y23 Sep, 2020 (M)Area bounded by two curves
  27. 27The area (in sq units) enclosed by the loop of the curve \(a y^2=x^2(a-x),(a>0)\) is23 Apr, 2019 (M)Area bounded by two curves
  28. 28If the area of the region bounded by the curves \(y=x^2\) and \(x=y^2\) is \(k\), then the area of the region bounded by the curves \( {x+ {22 Apr, 2019 (M)Area bounded by two curves
  29. 29The area (in sq. units) bounded by \(x^2=y, y=x+2\) and the \( {X}\)-axis is22 Apr, 2019 (M)Area bounded by two curves
  30. 30The curve passes through the point and lies above the -axis for . If the area enclosed by this curve, the -axis and the line is 108 square u21 Apr, 2019 (M)Area of Curve along axis
  31. 31The area (in sq. units) bounded by the curve y = x 2 + 2 x + 1 and the tangent to it at ( 1 , 4 ) and the Y -axis is21 Apr, 2019 (E)Area bounded by two curves
  32. 32If the area of the circle \(x^2+y^2=2\) is divided into two parts by the parabola \(y=x^2\), then the area (in sq units) of the larger part 20 Apr, 2019 (M)Area bounded by two curves
  33. 33The area (in square units) bounded by and the -axis, is20 Apr, 2019 (E)Area bounded by two curves
  34. 34The area (in sq. units) of the region lying in the first quadrant and enclosed by the X -axis, the straight line x - 3 y = 0 and the circle 25 Apr, 2018 (M)Area bounded by Miscellaneous Curves
  35. 35The area (in square units) bounded by the curves and in between the lines and is24 Apr, 2018 (M)Area bounded by two curves
  36. 36The area (in sq. units) of the region bounded by the curves and is24 Apr, 2018 (E)Area bounded by two curves
  37. 37The area (in sq. units) of the region lying in the first quadrant and enclosed by the -axis, the straight line and the circle , is23 Apr, 2018 (M)Area bounded by two curves
  38. 38The area (in sq units) between the curve and its latus rectum is23 Apr, 2018 (E)Area bounded by two curves
  39. 39The area (in sq. units) of the region bounded by the -axis and the curve is22 Apr, 2018 (M)Area of Curve along axis
  40. 40is a unit square where is the origin and . The curves and divide the area of the square into three parts and . If are the areas (in sq units22 Apr, 2018 (E)Area bounded by two curves
  41. 41The area (in sq. units) enclosed between the curves and is26 Apr, 2017 (M)Area bounded by two curves
  42. 42The area (in square units) enclosed between the curves and for is26 Apr, 2017 (E)Area bounded by two curves
  43. 43The area (in sq.units) of the region bounded by the parabolas and is25 Apr, 2017 (M)Area bounded by two curves
  44. 44The area of the region that is common to the circle and the parabola is25 Apr, 2017 (E)Area bounded by two curves
  45. 45The area (in sq. units) bounded by the curve , the -axis and the tangent at the point where the curve meets the Y-axis is24 Apr, 2017 (E)Area bounded by Miscellaneous Curves
  46. 46The area included between the parabola and the curve is2016Area bounded by two curves
  47. 47The area of the region described by and is2015Area bounded by two curves
  48. 48The area (in sq units) of the region bounded by and is2014Area bounded by two curves
  49. 49The area (in sq units) bounded by the curves and is2013Area bounded by two curves
  50. 50The area (in sq units) bounded by the curves and is2012Area bounded by two curves

Frequently Asked Questions

1.How many questions are available for Area Under Curves?

This chapter includes 60 questions compiled from AP EAMCET papers spanning 2001 to 2025.

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

These are AP EAMCET questions specifically for the Area Under Curves chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Area Under Curves an important chapter for AP EAMCET Mathematics?

Area Under Curves has appeared in 21 of the 25 years of AP EAMCET papers covered here, with 60 questions across 57 papers - about one per paper it appears in.

4.What is the difficulty level of Area Under Curves questions in AP EAMCET?

Of the 60 questions analysed for this chapter, 37% are easy, 53% moderate and 10% tough. 2023 had the most, with 8 questions.

5.Which topics in Area Under Curves should I focus on?

These topics have carried the most weightage in Area Under Curves:

  • Area bounded by two curves - 44 questions (73%)
  • Area bounded by Miscellaneous Curves - 9 questions (15%)
  • Area of Curve along axis - 7 questions (12%)
  • Area bounded by two curves has produced the most tough questions (4).
6.Is Area Under Curves's weightage in AP EAMCET going up or down?

Across all 57 papers analysed, Area Under Curves has averaged about 1.1 questions per paper. In the last three years (2022–2024), that average has fallen, at about 0.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.