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Mathematics - Area Under Curves

Practise 45 TS 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 TS EAMCET tests.

Area Under Curves has been asked in 19 of the 24 years of TS EAMCET papers analysed (2001–2024), with 45 questions in all. 51% of them were easy, 40% moderate and 9% tough. Most of its questions came from 2020, with 8 questions that year. In the last three years (2022–2024) it had 9 questions across 17 papers, about 0.5 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (32 questions, 71%), Area of Curve along axis (11 questions, 24%), and Area bounded by Miscellaneous Curves (2 questions, 4%) have been asked the most. Area bounded by two curves has also led over the last five years, with 6 questions. Area bounded by two curves has produced the most tough questions (3).

  1. 1The area of the region bounded by , x -axis, and is04 May, 2025 (E)Area of Curve along axis
  2. 2The area of the region bounded by the curves and the lines and is02 May, 2025 (E)Area bounded by two curves
  3. 3The area of the region (in sq. units) enclosed by the curves and is11 May, 2024 (M)Area of Curve along axis
  4. 4The area of the region enclosed by the curves and is10 May, 2024 (M)Area bounded by two curves
  5. 5If the area of the region enclosed by the curve and the line is , then10 May, 2024 (E)Area bounded by two curves
  6. 6Area of the triangle bounded by the lines given by the equations and is09 May, 2024 (M)Area bounded by two curves
  7. 7Area of the region enclosed between the curves and is09 May, 2024 (M)Area bounded by two curves
  8. 8The area (in square units) of the region bounded by the curve and the -axis in is14 May, 2023 (M)Area of Curve along axis
  9. 9The area (in sq. units) of the region bounded by the circle , positive -axis and the line is14 May, 2023 (E)Area of Curve along axis
  10. 10Area of the region bounded by the curve , the -axis, the -axis and the line is13 May, 2023 (M)Area of Curve along axis
  11. 11The area (in sq. units) bounded by the curve and the line is12 May, 2023 (E)Area bounded by two curves
  12. 12If the area lying in the first quadrant and bounded by the circle , the parabola and the -axis is , then14 Sep, 2020 (M)Area of Curve along axis
  13. 13The area (in sq. units) bounded by the parabola , the tangent to the parabola at and the coordinate axes and lying in the first quadrant is14 Sep, 2020 (E)Area of Curve along axis
  14. 14The area (in sq. units) of the portion lying above the -axis and enclosed between the curves and is11 Sep, 2020 (M)Area bounded by two curves
  15. 15The area (in sq. units) enclosed by the curves and is11 Sep, 2020 (E)Area bounded by two curves
  16. 16If the area of the region bounded by , and is bisected by the line , then10 Sep, 2020 (M)Area bounded by two curves
  17. 17The area (in square units) of the region enclosed between the parabola and the line10 Sep, 2020 (E)Area bounded by two curves
  18. 18The larger of the two areas (in sq. units) into which the circle x 2 + y 2 = 16 a 2 is divided by the parabola y 2 = 6 a x , is09 Sep, 2020 (M)Area bounded by two curves
  19. 19The area (in square units) bounded by the curves and is09 Sep, 2020 (E)Area bounded by two curves
  20. 20The area (in square units) of the region bounded by the curve and -axis in is06 May, 2019 (M)Area of Curve along axis
  21. 21Area of the region (in square units) bounded by the curve and the line is04 May, 2019 (E)Area bounded by two curves
  22. 22Area of the region (in sq units) bounded by the curves and the lines , , is03 May, 2019 (M)Area bounded by two curves
  23. 23The area of the region (in square units) bounded by the curves y = x 3 , y = x and - 1 x 1 , is03 May, 2019 (E)Area bounded by two curves
  24. 24The area of the region bounded by and is07 May, 2018 (M)Area of Curve along axis
  25. 25The area bounded by the curves , and the lines (in sq units), is05 May, 2018 (M)Area bounded by two curves
  26. 26The area enclosed by the curves and is05 May, 2018 (E)Area bounded by two curves
  27. 27The area enclosed (in square units) by the curve y = x 4 - x 2 , the x -axis and the vertical lines passing through the two minimum points o04 May, 2018 (M)Area of Curve along axis
  28. 28The area bounded by the curve and the -axis is (in square units)04 May, 2018 (E)Area of Curve along axis
  29. 29The area of the region bounded by the curves and is2017Area bounded by two curves
  30. 30The area of the triangle formed by the positive -axis, the tangent and normal to the curve at the point is2016Area bounded by Miscellaneous Curves
  31. 31If the area bounded by the curves and is 3 sq units, then the value of is2016Area bounded by two curves
  32. 32The area of the region bounded by the curves and (in sq units) is2015Area bounded by two curves
  33. 33The area (in sq units) of the region bounded by and is2014Area bounded by two curves
  34. 34The area (in sq units) bounded by the curves and is2013Area bounded by two curves
  35. 35The area (in sq units) bounded by the curves and is2012Area bounded by two curves
  36. 36The value of the integral obtained by using Trapezoidal rule with is2012Area bounded by Miscellaneous Curves
  37. 37The area (in square units) of the region bounded by the curves and is2011Area bounded by two curves
  38. 38The area (in square units) of the region enclosed by the two circles and is2010Area bounded by two curves
  39. 39The values of a function at different values of are as follows Then, the approximate area (in square units) bounded by the curve and -axis b2010Area bounded by two curves
  40. 40The line divides the area of the region bounded by and -axis into two regions of areas and . Then equals2009Area bounded by two curves
  41. 41The area (in sq unit) of the region bounded by the curves and is2008Area bounded by two curves
  42. 42The area (in square unit) of the region enclosed by the curves and is2007Area bounded by two curves
  43. 43The area (in square units) bounded by the curves and in the plane is2005Area bounded by two curves
  44. 44The area bounded by -axis, and is2004Area bounded by two curves
  45. 45The area (in square units) of the region bounded by and -axis, is2001Area bounded by two curves

Frequently Asked Questions

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

This chapter includes 45 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 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 TS EAMCET Mathematics?

Area Under Curves has appeared in 20 of the 25 years of TS EAMCET papers covered here, with 45 questions across 41 papers - about one per paper it appears in.

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

Of the 45 questions analysed for this chapter, 51% are easy, 40% moderate and 9% tough. 2020 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 - 32 questions (71%)
  • Area of Curve along axis - 11 questions (24%)
  • Area bounded by Miscellaneous Curves - 2 questions (4%)
  • Area bounded by two curves has produced the most tough questions (3).
6.Is Area Under Curves's weightage in TS EAMCET going up or down?

Across all 41 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.