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Mathematics - Area Under Curves

Practise 26 WBJEE previous year questions on Area Under Curves, compiled from papers spanning 2010 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 WBJEE tests.

Area Under Curves has been asked in 15 of the 18 years of WBJEE papers analysed (2009–2026), with 26 questions in all. 23% of them were easy, 62% moderate and 15% tough. Most of its questions came from 2015, with 3 questions that year. In the last three years (2024–2026) 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, 81%), Area bounded by Miscellaneous Curves (3 questions, 12%), and Area of Curve along axis (2 questions, 8%) have been asked the most. Area bounded by two curves has also led over the last five years, with 2 questions. Area bounded by two curves has produced the most tough questions (3).

  1. 1Consider the function defined implicitly by the equation on the interval . The area of the region bounded by the curve , the x-axis and the 2026Area of Curve along axis
  2. 2The area bounded by the curves and the -axis is2024Area bounded by two curves
  3. 3The equation represents the curve2024Area bounded by Miscellaneous Curves
  4. 4Area of the figure bounded by the parabola and is2022Area bounded by two curves
  5. 5The straight line through the origin which divides the area formed by the curves and into two equal halves is2021Area of Curve along axis
  6. 6The area bounded by the parabolas and the straight line is2021Area bounded by two curves
  7. 7The area of the region is2020Area bounded by two curves
  8. 8The area of the figure bounded by the parabola is2020Area bounded by two curves
  9. 9The area bounded by and and the -axis, is2019Area bounded by two curves
  10. 10The area of the region lying above -axis, and included between the circle and the parabola is2018Area bounded by two curves
  11. 11The area of the figure bounded by the parabolas and is2017Area bounded by two curves
  12. 12The area enclosed by and is2016Area bounded by two curves
  13. 13The area of the region bounded by the curve its tangent at (1,1) and X-axis is2015Area bounded by two curves
  14. 14Area of the region bounded by and is2015Area bounded by two curves
  15. 15If the point for lies in the region between the lines and containing the origin, then lies in2015Area bounded by two curves
  16. 16The area of the region bounded by the curves and is2014Area bounded by two curves
  17. 17The area of the region bounded by the parabola and the straight line is2013Area bounded by two curves
  18. 18If Then, the area of the region enclosed by the curve and the three lines and is2013Area bounded by two curves
  19. 19The area of the region enclosed between parabola and the line is Then, the value of is2013Area bounded by two curves
  20. 20The area of the region bounded by the curves is2012Area bounded by two curves
  21. 21The area of the region, bounded by the curves and in the first quadrant, is2012Area bounded by two curves
  22. 22The area enclosed between \(y^2=x\) and \(y=x\) is2011Area bounded by two curves
  23. 23The area bounded by \(y^2=4 x\) and \(x^2=4 y\) is2011Area bounded by two curves
  24. 24The area of the region bounded by and is2010Area bounded by two curves
  25. 25The area enclosed by and is2010Area bounded by Miscellaneous Curves
  26. 26The area bounded by the parabolas and the line is2010Area bounded by Miscellaneous Curves

Frequently Asked Questions

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

This chapter includes 26 questions compiled from WBJEE papers spanning 2010 to 2026.

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

These are WBJEE 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 WBJEE Mathematics?

Area Under Curves has appeared in 15 of the 18 years of WBJEE papers covered here, with 26 questions across 15 papers - about 2 per paper it appears in.

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

Of the 26 questions analysed for this chapter, 23% are easy, 62% moderate and 15% tough. 2015 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 (81%)
  • Area bounded by Miscellaneous Curves - 3 questions (12%)
  • Area of Curve along axis - 2 questions (8%)
  • Area bounded by two curves has produced the most tough questions (3).
6.Is Area Under Curves's weightage in WBJEE going up or down?

Across all 15 papers analysed, Area Under Curves has averaged about 1.7 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.