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Mathematics - Area Under Curves

Practise 30 KCET previous year questions on Area Under Curves, compiled from papers spanning 2007 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 KCET tests.

Area Under Curves has been asked in 19 of the 20 years of KCET papers analysed (2007–2026), with 30 questions in all. 57% of them were easy, 30% moderate and 13% tough. Most of its questions came from 2026, with 2 questions that year. In the last three years (2024–2026) it had 6 questions across 3 papers, about 2 per paper.

The chapter's 3 topics are not weighted equally: Area of Curve along axis (16 questions, 53%), Area bounded by two curves (12 questions, 40%), and Area bounded by Miscellaneous Curves (2 questions, 7%) have been asked the most. Area of Curve along axis has also led over the last five years, with 8 questions. Area bounded by two curves has produced the most tough questions (3).

  1. 1The area of the region bounded by the curve , the -axis and the lines and is2026Area of Curve along axis
  2. 2The area enclosed by the curve is2026Area of Curve along axis
  3. 3The area bounded by the curve axis, the lines and is2025Area of Curve along axis
  4. 4The area of the region bounded by the curve and the line is2025Area of Curve along axis
  5. 5The area of the region bounded by the line and the curve sq units is2024Area of Curve along axis
  6. 6The area of the region bounded by the line and the curve is2024Area of Curve along axis
  7. 7In the interval area lying between the curves and and the -axis is2023Area bounded by two curves
  8. 8The area of the region bounded by the line and the lines and is2023Area of Curve along axis
  9. 9Area of the region bounded by the curve , the -axis and line is2022Area of Curve along axis
  10. 10The area of the region bounded by and -axis is2021Area of Curve along axis
  11. 11If the area of the ellipse is is sq units, then is2021Area bounded by two curves
  12. 12The value of is2020Area bounded by two curves
  13. 13The value of is2020Area bounded by two curves
  14. 14The area of the region above \( X \)-axis included between the parabola \( y^{2}=x \) and the circle \( x^{2}+y^{2}=2 x \) in square units i2019Area bounded by two curves
  15. 15The area of the region bounded by \( y \)-axis. \( y= x \) and \( y= x ; 0 x { }{2} \) is2019Area bounded by two curves
  16. 16The area of the region bounded by the curve \( y= x \) between \( x=0 \) and \( x= \) is2018Area of Curve along axis
  17. 17The area bounded by the line \( y=x, x \)-axis and ordinates \( x=-1 \) and \( x=2 \) is2018Area bounded by two curves
  18. 18Reflexion of the point \( ( , , ) \) in \( X Y \) plane is2017Area bounded by two curves
  19. 19A box has \( 100 \) pens of which \( 10 \) are defective. The probability that out of a sample of \( 5 \) pens drawn one by one with replace2017Area of Curve along axis
  20. 20Area lying between the curves \( y^{2}=2 x \) and \( y=x \)2016Area bounded by two curves
  21. 21If \( f(x)=2 x^{2} \), find \( {f(3.8)-f(4)}{3.8-4} \)2015Area of Curve along axis
  22. 22A box contains \( 100 \) bulbs, out of which \( 10 \) are defective. A sample of \( 5 \) bulbs is drawn. The probability that none is defect2014Area of Curve along axis
  23. 23The area of the parallelogram whose adjacent sides are \( {i}+ {k} \) and \( 2 {i}+ {j}+ {k} \) is2014Area bounded by two curves
  24. 24The area bounded by the curve , -axis and lines and is2013Area of Curve along axis
  25. 25If the area between and is units, then the value of is2011Area bounded by two curves
  26. 26The area bounded by the curve and the line , is2010Area bounded by Miscellaneous Curves
  27. 27The area bounded between the parabola and the line is equal to2009Area bounded by two curves
  28. 28The area of the region bounded by and the -axis is2008Area of Curve along axis
  29. 29The area enclosed by the pair of the lines , the line and is2007Area bounded by Miscellaneous Curves
  30. 30The area bounded by the curve and the -axis is2007Area of Curve along axis

Frequently Asked Questions

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

This chapter includes 30 questions compiled from KCET papers spanning 2007 to 2026.

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

These are KCET 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 KCET Mathematics?

Area Under Curves has appeared in 19 of the 20 years of KCET papers covered here, with 30 questions across 19 papers - about 2 per paper it appears in.

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

Of the 30 questions analysed for this chapter, 57% are easy, 30% moderate and 13% tough. 2026 had the most, with 2 questions.

5.Which topics in Area Under Curves should I focus on?

These topics have carried the most weightage in Area Under Curves:

  • Area of Curve along axis - 16 questions (53%)
  • Area bounded by two curves - 12 questions (40%)
  • Area bounded by Miscellaneous Curves - 2 questions (7%)
  • Area bounded by two curves has produced the most tough questions (3).
6.Is Area Under Curves's weightage in KCET going up or down?

Across all 19 papers analysed, Area Under Curves has averaged about 1.6 questions per paper. In the last three years (2024–2026), that average has risen, 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.