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Mathematics - Area Under Curves

Practise 27 VITEEE previous year questions on Area Under Curves, compiled from papers spanning 2006 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 VITEEE tests.

Area Under Curves has been asked in 18 of the 18 years of VITEEE papers analysed (2006–2024), with 27 questions in all. 41% of them were easy, 48% moderate and 11% tough. Most of its questions came from 2009, with 3 questions that year. In the last three years (2022–2024) it had 3 questions across 3 papers, about 1 per paper.

The chapter's 3 topics are not weighted equally: Area bounded by two curves (21 questions, 78%), Area bounded by Miscellaneous Curves (3 questions, 11%), and Area of Curve along axis (3 questions, 11%) have been asked the most. Over the last five years the most frequent topics have been Area of Curve along axis (2), Area bounded by Miscellaneous Curves (1), and Area bounded by two curves (1). Area bounded by Miscellaneous Curves has produced the most tough questions (2).

  1. 1The area of the region(s) enclosed by the curves and is2024Area bounded by two curves
  2. 2The area of the triangle formed by the tangent and normal at the point \((1, {3})\) on the circle \( {x}^2\) \(+y^2=4\) and the \(x\)-axis i2023Area of Curve along axis
  3. 3The area (in sq. units) bounded by the curves \( {y}= { {x}}, 2 {y}- {x}+3=0\) and \( {x}\)-axis lying in the first quadrant is2022Area bounded by Miscellaneous Curves
  4. 4Area bounded by the curve and the coordinate axes is2021Area of Curve along axis
  5. 5The area under the curve , , and above -axis is :2019Area bounded by two curves
  6. 6The area of the region bounded by the curve and lines and is2018Area bounded by Miscellaneous Curves
  7. 7The area bounded by and will be:2017Area of Curve along axis
  8. 8The area bounded by , and -axis is2017Area bounded by two curves
  9. 9What is the area of a loop of the curve ?2016Area bounded by Miscellaneous Curves
  10. 10The area bounded by the curves and between the ordinates and is2015Area bounded by two curves
  11. 11The area of the region bounded by the curves and is2015Area bounded by two curves
  12. 12The area in the first quadrant between and is2014Area bounded by two curves
  13. 13The area bounded by and lines , is2014Area bounded by two curves
  14. 14For which of the following values of , the area of the region bounded by the curve and the line equals2013Area bounded by two curves
  15. 15Area lying in the first quadrant and bounded by the circle , the line and -axis is2012Area bounded by two curves
  16. 16The area enclosed by and is2011Area bounded by two curves
  17. 17The chances of defective screws in three boxes are respectively. A box isselected at random and ascrew drawn from it at random is found to b2010Area bounded by two curves
  18. 18The value of is equal to2010Area bounded by two curves
  19. 19The area (in square unit) of the circle which touches the lines and is2009Area bounded by two curves
  20. 20The area (in square unit) of the triangle formed by and the pair of straight lines is2009Area bounded by two curves
  21. 21The line divides the area of the region bounded by and -axis into two regions of areas and . Then equals2009Area bounded by two curves
  22. 22The value of so that may be continuous at is2008Area bounded by two curves
  23. 23Let [ ] denote the greatest integer function and . Then2008Area bounded by two curves
  24. 24The function . Then the maximum value of is2007Area bounded by two curves
  25. 25If , then2007Area bounded by two curves
  26. 26In rolling two fair dice, what is the probability of obtaining a sum greater than 3 but not exceeding2006Area bounded by two curves
  27. 27Team A has probability of winning whenever it plays. Suppose A plays four games. What is the probability that A wins more than half of its g2006Area bounded by two curves

Frequently Asked Questions

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

This chapter includes 27 questions compiled from VITEEE papers spanning 2006 to 2024.

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

These are VITEEE 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 VITEEE Mathematics?

Area Under Curves has appeared in 18 of the 18 years of VITEEE papers covered here, with 27 questions across 18 papers - about 2 per paper it appears in.

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

Of the 27 questions analysed for this chapter, 41% are easy, 48% moderate and 11% tough. 2009 had the most, with 3 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 - 21 questions (78%)
  • Area bounded by Miscellaneous Curves - 3 questions (11%)
  • Area of Curve along axis - 3 questions (11%)
  • Area bounded by Miscellaneous Curves has produced the most tough questions (2).
6.Is Area Under Curves's weightage in VITEEE going up or down?

Across all 18 papers analysed, Area Under Curves has averaged about 1.5 questions per paper. In the last three years (2022–2024), 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.