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Mathematics - Area Under Curves

Practise 25 Manipal (MET) previous year questions on Area Under Curves, compiled from papers spanning 2010 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Area Under Curves has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 25 questions in all. 52% of them were easy, 36% moderate and 12% tough. Most of its questions came from 2018, with 4 questions that year. In the last three years (2022–2024) it had 4 questions across 2 papers, about 2 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (19 questions, 76%), Area bounded by Miscellaneous Curves (5 questions, 20%), and Area of Curve along axis (1 question, 4%) have been asked the most. Area bounded by two curves has also led over the last five years, with 5 questions. Area bounded by Miscellaneous Curves has produced the most tough questions (3).

  1. 1The area bf the region bounded by the curves and the -axis2023Area bounded by two curves
  2. 2The area bounded by the curves , and the -axis is2023Area bounded by two curves
  3. 3The area of the region bounded by the curves and the -axis is2022Area bounded by two curves
  4. 4The area of the region described by and is2022Area bounded by two curves
  5. 5The area included between the curves and is2021Area bounded by two curves
  6. 6The area in square unit enclosed by the curve , the -axis and the lines and is2018Area bounded by two curves
  7. 7The area bounded by and the ordinates and is2018Area bounded by two curves
  8. 8The area included between the curves and is2018Area bounded by two curves
  9. 9The area of the region is2018Area bounded by two curves
  10. 10The area bounded by the curve with -axis and ordinates corresponding to the minima of is2017Area bounded by two curves
  11. 11The area between , the -axis and the line is2017Area bounded by two curves
  12. 12Area bounded by the curves and is2016Area bounded by two curves
  13. 13The area bounded by the parabolas and is2016Area bounded by two curves
  14. 14The area of the region enclosed by the curves and the positive -axis, is2015Area bounded by Miscellaneous Curves
  15. 15The area of the region bounded by the parabola , the tangent to the parabola at the point and the -axis, is2015Area bounded by Miscellaneous Curves
  16. 16The area bounded by and -axis between and is2014Area of Curve along axis
  17. 17The area enclosed by the curves , and is2014Area bounded by Miscellaneous Curves
  18. 18The area of the region bounded by and is2014Area bounded by Miscellaneous Curves
  19. 19The area of the region is;2013Area bounded by two curves
  20. 20The area of the figure bounded by the parabola , the tangent to it at the point with the ordinate 3 and the -axis is2013Area bounded by two curves
  21. 21The area of the region bounded by , and is2012Area bounded by two curves
  22. 22The area bounded by the curves and is2012Area bounded by two curves
  23. 23The area of figure bounded by and the straight line is2011Area bounded by two curves
  24. 24The area bounded by the curve and the straight line is given by2011Area bounded by two curves
  25. 25The area of the loop the curve is2010Area bounded by Miscellaneous Curves

Frequently Asked Questions

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

This chapter includes 25 questions compiled from Manipal (MET) papers spanning 2010 to 2023.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Area Under Curves has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 25 questions across 12 papers - about 2 per paper it appears in.

4.What is the difficulty level of Area Under Curves questions in Manipal (MET)?

Of the 25 questions analysed for this chapter, 52% are easy, 36% moderate and 12% tough. 2018 had the most, with 4 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 - 19 questions (76%)
  • Area bounded by Miscellaneous Curves - 5 questions (20%)
  • Area of Curve along axis - 1 question (4%)
  • Area bounded by Miscellaneous Curves has produced the most tough questions (3).
6.Is Area Under Curves's weightage in Manipal (MET) going up or down?

Across all 12 papers analysed, Area Under Curves has averaged about 2.1 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.