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Mathematics - Area Under Curves

Practise 24 BITSAT previous year questions on Area Under Curves, compiled from papers spanning 2010 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Area Under Curves has been asked in 15 of the 16 years of BITSAT papers analysed (2009–2024), with 24 questions in all. 21% of them were easy, 63% moderate and 17% tough. Most of its questions came from 2024, with 5 questions that year. In the last three years (2022–2024) it had 9 questions across 6 papers, about 1.5 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (12 questions, 50%), Area bounded by Miscellaneous Curves (9 questions, 38%), and Area of Curve along axis (3 questions, 13%) have been asked the most. Area bounded by two curves has also led over the last five years, with 7 questions. Area bounded by Miscellaneous Curves has produced the most tough questions (2).

  1. 1If the area bounded by the curves and is 3 sq units, then the value of is2024 (Memory Based Paper 1)Area bounded by two curves
  2. 2The area of the region bounded by the curves and is2024 (Memory Based Paper 2)Area bounded by two curves
  3. 3The line bisects the area unclosed by lines and and the curve . Then, the value of is2024 (Memory Based Paper 3)Area bounded by Miscellaneous Curves
  4. 4If are in GP, then the area of the triangle formed by the lines with the coordinates axes is equal to2024 (Memory Based Paper 3)Area bounded by Miscellaneous Curves
  5. 5The area enclosed by the curves and is2024 (Memory Based Paper 3)Area bounded by two curves
  6. 6The area enclosed between the curve and the coordinate axes is2023 (Memory Based Paper 1)Area of Curve along axis
  7. 7The area of the region2023 (Memory Based Paper 2)Area bounded by two curves
  8. 8The area of the region bounded by the parabola , the tangent to the parabola at the point and the -axis is2022Area bounded by Miscellaneous Curves
  9. 9The area enclosed by the curves and over the interval is2022Area bounded by Miscellaneous Curves
  10. 10The area bounded by the curves and is2021Area bounded by two curves
  11. 11The area bounded by curves and is2021Area bounded by two curves
  12. 12The line bisects the area enclosed by lines and and the curve Then the value of is2020Area bounded by two curves
  13. 13The point ( [ P + 1 ] , [ P ] ) (where, [ x ] is the greatest integer function) lying inside the region bounded by the circle x 2 + y 2 - 2 2019Area bounded by Miscellaneous Curves
  14. 14Area bounded by two branches of the curve y - x 2 = x 3 and x = 1 is2019Area bounded by Miscellaneous Curves
  15. 15The area of the region included between the curves x 2 + y 2 = a 2 and x + y = a a 0 is2018Area bounded by Miscellaneous Curves
  16. 16The area under the curve y = cos x - sin x , 0 x 2 and above X -axis, is2017Area bounded by Miscellaneous Curves
  17. 17The area enclosed by the curves y = x 3 and y = x is2017Area bounded by two curves
  18. 18A wire long is to be bent in the form of a quadrilateral of which each angle is What is the maximum area which can be enclosed inside the qu2016Area bounded by Miscellaneous Curves
  19. 19The area of the region and is2015Area bounded by two curves
  20. 20The area bounded by the -axis, the curve and the lines is equal to for all then is2014Area bounded by two curves
  21. 21Area intercepted by the curves and is2013Area bounded by two curves
  22. 22The area bounded by the curve -axis and the ordinates and is2012Area bounded by two curves
  23. 23What is the area bounded by \(y= x, y=0\) and \(x= { }{4} ?\)2011Area of Curve along axis
  24. 24If \( {I}_{ {m}}= _1^{ {e}}( {x})^{ {m}} {dx}\), where \( {m} {N}\), then \(I_{10}+10 I_9\) is equal to -2010Area of Curve along axis

Frequently Asked Questions

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

This chapter includes 24 questions compiled from BITSAT papers spanning 2010 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Area Under Curves has appeared in 15 of the 16 years of BITSAT papers covered here, with 24 questions across 18 papers - about one per paper it appears in.

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

Of the 24 questions analysed for this chapter, 21% are easy, 63% moderate and 17% tough. 2024 had the most, with 5 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 - 12 questions (50%)
  • Area bounded by Miscellaneous Curves - 9 questions (38%)
  • Area of Curve along axis - 3 questions (13%)
  • Area bounded by Miscellaneous Curves has produced the most tough questions (2).
6.Is Area Under Curves's weightage in BITSAT going up or down?

Across all 18 papers analysed, Area Under Curves has averaged about 1.3 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.