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Mathematics - Area Under Curves

Practise 182 JEE Main previous year questions on Area Under Curves, compiled from papers spanning 2002 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 JEE Main tests.

Area Under Curves has been asked in 24 of the 25 years of JEE Main papers analysed (2002–2026), with 182 questions in all. 15% of them were easy, 60% moderate and 24% tough. Most of its questions came from 2023, with 27 questions that year. In the last three years (2024–2026) it had 52 questions across 49 papers, about 1.1 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (130 questions, 71%), Area bounded by Miscellaneous Curves (36 questions, 20%), and Area of Curve along axis (16 questions, 9%) have been asked the most. Area bounded by two curves has also led over the last five years, with 77 questions. Area bounded by two curves has produced the most tough questions (25).

  1. 1The area of the region is:06 Apr, 2026 (M)Area bounded by two curves
  2. 2The area of the region is :06 Apr, 2026 (E)Area bounded by two curves
  3. 3The area of the region is equal to:05 Apr, 2026 (M)Area bounded by two curves
  4. 4The area of the region is:04 Apr, 2026 (M)Area of Curve along axis
  5. 5The area of the region bounded by the curves and is equal to:04 Apr, 2026 (E)Area bounded by two curves
  6. 6If the area of the region bounded by and is A, then is equal to _______.02 Apr, 2026 (E)Area bounded by two curves
  7. 7The area of the region is28 Jan, 2026 (M)Area bounded by two curves
  8. 8Let and be two parabolas. If the area of the bounded region enclosed between and is six times the area of the bounded region enclosed betwee28 Jan, 2026 (E)Area bounded by two curves
  9. 9Let be the bounded area enclosed by the curves and -axis that lies in the first quadrant. Let be the bounded area enclosed by the curves , a24 Jan, 2026 (M)Area bounded by two curves
  10. 10Let denote the area of the region in the first quadrant bounded by and . Then is equal to24 Jan, 2026 (E)Area bounded by two curves
  11. 11Let the area of the region bounded by the curve , lines , and the -axis be A. Then, is equal to .23 Jan, 2026 (M)Area of Curve along axis
  12. 12The area of the region enclosed between the circles and is:23 Jan, 2026 (E)Area bounded by two curves
  13. 13Let the line divide the area of the region in the ratio . Then is equal to22 Jan, 2026 (M)Area bounded by two curves
  14. 14The area of the region and is:22 Jan, 2026 (E)Area bounded by two curves
  15. 15The area of the region, inside the ellipse and outside the region bounded by the curves and , is :21 Jan, 2026 (M)Area bounded by two curves
  16. 16If the area of the region is , then the value of is :21 Jan, 2026 (E)Area bounded by two curves
  17. 17Let the area of the bounded region be A. Then 6 A is equal to ________08 Apr, 2025 (E)Area bounded by two curves
  18. 18If the area of the region bounded by the curves \(y=4- {x^2}{4}\) and \(y= {x-4}{2}\) is equal to \( \), then \(6 \) equals07 Apr, 2025 (M)Area bounded by two curves
  19. 19If the area of the region is A , then 3 A is equal to07 Apr, 2025 (E)Area bounded by two curves
  20. 20If the area of the region is A , then 3 A is equal to _____ .04 Apr, 2025 (M)Area bounded by two curves
  21. 21The area of the region bounded by the curve , then -axis and the lines and is equal to _______ .03 Apr, 2025 (M)Area bounded by two curves
  22. 22The area of the region is03 Apr, 2025 (E)Area bounded by two curves
  23. 23If the area of the region is , then is equal to _______.02 Apr, 2025 (M)Area bounded by two curves
  24. 24Let the area of the region \( \{(x, y): 2 y x^2+3, y+|x| 3, y |x-1| \}\) be A. Then 6 A is equal to :29 Jan, 2025 (M)Area bounded by Miscellaneous Curves
  25. 25Let the area enclosed between the curves and be . If are integers, then the value of equals.29 Jan, 2025 (E)Area bounded by two curves
  26. 26The area (in sq. units) of the region is28 Jan, 2025 (M)Area bounded by two curves
  27. 27The area of the region bounded by the curves and is:28 Jan, 2025 (E)Area bounded by two curves
  28. 28The area of the region is equal to24 Jan, 2025 (M)Area bounded by two curves
  29. 29Consider the region . The area, of the largest rectangle of sides parallel to the coordinate axes and inscribed in R , is:24 Jan, 2025 (M)Area bounded by two curves
  30. 30The area of the region enclosed by the curves and -axis is:24 Jan, 2025 (E)Area of Curve along axis
  31. 31If the area of the larger portion bounded between the curves and is , then is equal to23 Jan, 2025 (M)Area bounded by two curves
  32. 32If the area of the region is , then the value of is :23 Jan, 2025 (E)Area bounded by Miscellaneous Curves
  33. 33Let be a twice differentiable function such that for all . If and satisfies , , then the area of the region is:22 Jan, 2025 (M)Area bounded by Miscellaneous Curves
  34. 34The area of the region, inside the circle and outside the parabola is :22 Jan, 2025 (M)Area bounded by two curves
  35. 35The area of the region enclosed by the curves and is :22 Jan, 2025 (E)Area bounded by two curves
  36. 36The parabola divides the area of the circle in two parts. The area of the smaller part is equal to:09 Apr, 2024 (M)Area bounded by two curves
  37. 37The area (in square units) of the region enclosed by the ellipse in the first quadrant below the line is09 Apr, 2024 (E)Area bounded by two curves
  38. 38Let be a positive function such that the area bounded by from to is . Then the differential equation, whose general solution is , where and 08 Apr, 2024 (M)Area bounded by Miscellaneous Curves
  39. 39Let the area of the region enclosed by the curve and the axis between to be . Then is equal to ___________08 Apr, 2024 (M)Area bounded by two curves
  40. 40The area of the region in the first quadrant inside the circle and outside the parabola is equal to :08 Apr, 2024 (E)Area bounded by two curves
  41. 41Let the area of the region enclosed by the curves and be . Then is equal to06 Apr, 2024 (M)Area bounded by Miscellaneous Curves
  42. 42If the area of the region is then the value of is equal to:06 Apr, 2024 (E)Area bounded by two curves
  43. 43The area of the region enclosed by the parabolas and is05 Apr, 2024 (M)Area bounded by two curves
  44. 44The area enclosed between the curves and is :05 Apr, 2024 (E)Area bounded by two curves
  45. 45One of the points of intersection of the curves and is . Let the area of the region enclosed by these curves be , where . Then is equal to04 Apr, 2024 (M)Area bounded by two curves
  46. 46The area (in sq. units) of the region described by , and is04 Apr, 2024 (E)Area bounded by two curves
  47. 47The area enclosed by the curves x y + 4 y = 16 and x + y = 6 is equal to:01 Feb, 2024 (M)Area bounded by Miscellaneous Curves
  48. 48Three points O 0 , 0 , P a , a 2 , Q − b , b 2 , a 0 , b 0 , are on the parabola y = x 2 . Let S 1 be the area of the region bounded by the 01 Feb, 2024 (E)Area bounded by two curves
  49. 49The sum of squares of all possible values of k , for which area of the region bounded by the parabolas 2 y 2 = k x and k y 2 = 2 y − x is ma01 Feb, 2024 (E)Area bounded by two curves
  50. 50The area of the region x , y : y 2 ≤ 4 x , x 4 , x y x - 1 x - 2 x - 3 x - 4 0 , x ≠ 3 is31 Jan, 2024 (M)Area bounded by Miscellaneous Curves

Frequently Asked Questions

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

This chapter includes 182 questions compiled from JEE Main papers spanning 2002 to 2026.

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

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

3.Is Area Under Curves an important chapter for JEE Main Mathematics?

Area Under Curves has appeared in 24 of the 25 years of JEE Main papers covered here, with 182 questions across 169 papers - about one per paper it appears in.

4.What is the difficulty level of Area Under Curves questions in JEE Main?

Of the 182 questions analysed for this chapter, 15% are easy, 60% moderate and 24% tough. 2023 had the most, with 27 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 - 130 questions (71%)
  • Area bounded by Miscellaneous Curves - 36 questions (20%)
  • Area of Curve along axis - 16 questions (9%)
  • Area bounded by two curves has produced the most tough questions (25).
6.Is Area Under Curves's weightage in JEE Main going up or down?

Across all 169 papers analysed, Area Under Curves has averaged about 1.1 questions per paper. In the last three years (2024–2026), that average has stayed about the same, at about 1.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.