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Mathematics - Area Under Curves

Practise 126 MHTCET previous year questions on Area Under Curves, compiled from papers spanning 2008 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.

Area Under Curves has been asked in 16 of the 17 years of MHTCET papers analysed (2007–2026), with 126 questions in all. 38% of them were easy, 48% moderate and 14% tough. Most of its questions came from 2026, with 24 questions that year. In the last three years (2024–2026) it had 58 questions across 59 papers, about 1 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (60 questions, 48%), Area of Curve along axis (45 questions, 36%), and Area bounded by Miscellaneous Curves (21 questions, 17%) have been asked the most. Area bounded by two curves has also led over the last five years, with 36 questions. Area bounded by Miscellaneous Curves has produced the most tough questions (13).

  1. 1The area bounded by the curves and is20 Apr, 2026 (M)Area bounded by two curves
  2. 2The area of the region lying in the first quadrant and bounded by the curve , the Y-axis, and the lines , is...20 Apr, 2026 (M)Area of Curve along axis
  3. 3The area in square units of the region bounded by the curve and lines above the X-axis is20 Apr, 2026 (E)Area of Curve along axis
  4. 4The area (in sq. units) of the region enclosed by is...19 Apr, 2026 (M)Area bounded by two curves
  5. 5If the area of the region bounded by the parabola and the line , (where ) is sq. units, then the value of is equal to...19 Apr, 2026 (M)Area of Curve along axis
  6. 6The area (in square units) of the region bounded by the circle and the parabola is...19 Apr, 2026 (E)Area bounded by two curves
  7. 7The area (in sq. units) of the region bounded by the curve and the X-axis is...19 Apr, 2026 (E)Area of Curve along axis
  8. 8The area (in square units) bounded by the line , the X-axis and the lines and is...18 Apr, 2026 (M)Area of Curve along axis
  9. 9If the area bounded by (where ), the -axis and the lines and is square units, then18 Apr, 2026 (E)Area of Curve along axis
  10. 10Area enclosed by curve and lines is ..... sq. units17 Apr, 2026 (M)Area bounded by two curves
  11. 11The area of the region bounded by the lines and the y-axis is _____17 Apr, 2026 (M)Area of Curve along axis
  12. 12The area of the region bounded by curves and the lines , is17 Apr, 2026 (E)Area bounded by two curves
  13. 13The area of the region common to the parabolas and is...16 Apr, 2026 (E)Area bounded by two curves
  14. 14The area of the region enclosed by the lines and (in sq.units) is...16 Apr, 2026 (E)Area bounded by two curves
  15. 15If the area bounded by the curve and the lines in the first quadrant is sq. units, then the value of b is...15 Apr, 2026 (M)Area of Curve along axis
  16. 16The area of the smaller region bounded by the circle and the line is...15 Apr, 2026 (M)Area bounded by two curves
  17. 17The area of the region bounded by the curves , and , and the X-axis is15 Apr, 2026 (E)Area of Curve along axis
  18. 18The area of the region (in sq.units) bounded by the curve and the X-axis is _____13 Apr, 2026 (M)Area of Curve along axis
  19. 19The area of the region bounded by the curve and the lines and is ... square units.13 Apr, 2026 (E)Area of Curve along axis
  20. 20The area of the region bounded by the curve and , in first quadrant is , then the value of is13 Apr, 2026 (E)Area of Curve along axis
  21. 21Preview not available - open to view this question.11 Apr, 2026 (M)Area of Curve along axis
  22. 22The area of the shaded region is ... sq.units.11 Apr, 2026 (M)Area of Curve along axis
  23. 23If the area enclosed between the curves and is sq. units then11 Apr, 2026 (E)Area bounded by two curves
  24. 24The area bounded by the curve and the X-axis between the lines and (in square units), is....11 Apr, 2026 (E)Area of Curve along axis
  25. 25The area of the region bounded by the parabola and the line is ______ sq.units.05 May, 2025 (E)Area of Curve along axis
  26. 26The area of the region bounded by the curves and , and the X -axis is27 Apr, 2025 (E)Area of Curve along axis
  27. 27The area of smaller part between the circle and the line is _______ sq.units.26 Apr, 2025 (M)Area of Curve along axis
  28. 28If the area bounded by the curve , X-axis and the line is divided into equal areas by the line , then the value of is ...26 Apr, 2025 (E)Area of Curve along axis
  29. 29The area bounded by the parabolas and the line is25 Apr, 2025 (M)Area bounded by two curves
  30. 30The area bounded by the curve and X - axis in square units, is25 Apr, 2025 (E)Area of Curve along axis
  31. 31The area bounded by the curve and the straight line is23 Apr, 2025 (M)Area bounded by two curves
  32. 32The area bounded by the curve and y -axis is...23 Apr, 2025 (E)Area bounded by two curves
  33. 33The area bounded by the curve and the -axis is22 Apr, 2025 (M)Area of Curve along axis
  34. 34If a curve passes through the point and the area bounded by this curve, line and the X -axis is 8 sq.units, then the value of is22 Apr, 2025 (E)Area of Curve along axis
  35. 35The area inside the parabola , between the lines and is equal to21 Apr, 2025 (M)Area of Curve along axis
  36. 36The area of the region bounded by the curve between and X -axis is ......21 Apr, 2025 (E)Area of Curve along axis
  37. 37The area of the region bounded by and the line is20 Apr, 2025 (M)Area bounded by two curves
  38. 38AOB is the positive quadrant of the ellipse in which . The area between the and the chord AB of the ellipse in sq.units is20 Apr, 2025 (E)Area bounded by two curves
  39. 39The ratio of the areas bounded by the curves and between and X -axis is19 Apr, 2025 (M)Area of Curve along axis
  40. 40The area enclosed between the curves and is19 Apr, 2025 (E)Area bounded by two curves
  41. 41The area (in sq. units) of the region described by and is16 May, 2024 (M)Area bounded by Miscellaneous Curves
  42. 42The area (in sq. units) bounded between the parabolas and and the line is16 May, 2024 (E)Area bounded by two curves
  43. 43The area of the region bounded by curves and is15 May, 2024 (M)Area bounded by two curves
  44. 44If two sides of a square are and , then the area of the square is15 May, 2024 (M)Area of Curve along axis
  45. 45The area enclosed between the parabola and the line is15 May, 2024 (E)Area bounded by two curves
  46. 46The area of the region lying in the first quadrant by is11 May, 2024 (M)Area bounded by Miscellaneous Curves
  47. 47The area (in sq. units) of the region bounded by and is equal to11 May, 2024 (E)Area bounded by two curves
  48. 48Area (in sq.units) lying in the first quadrant and bounded by the circle and the lines and is10 May, 2024 (M)Area bounded by Miscellaneous Curves
  49. 49The area (in sq. units) of the region and is10 May, 2024 (E)Area bounded by Miscellaneous Curves
  50. 50The area (in sq. units) bounded by the curves and the line is09 May, 2024 (M)Area bounded by Miscellaneous Curves

Frequently Asked Questions

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

This chapter includes 126 questions compiled from MHTCET papers spanning 2008 to 2026.

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

These are MHTCET 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 MHTCET Mathematics?

Area Under Curves has appeared in 16 of the 17 years of MHTCET papers covered here, with 126 questions across 101 papers - about one per paper it appears in.

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

Of the 126 questions analysed for this chapter, 38% are easy, 48% moderate and 14% tough. 2026 had the most, with 24 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 - 60 questions (48%)
  • Area of Curve along axis - 45 questions (36%)
  • Area bounded by Miscellaneous Curves - 21 questions (17%)
  • Area bounded by Miscellaneous Curves has produced the most tough questions (13).
6.Is Area Under Curves's weightage in MHTCET going up or down?

Across all 101 papers analysed, Area Under Curves has averaged about 1.2 questions per paper. In the last three years (2024–2026), that average has fallen, at about 1.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.