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Mathematics - Area Under Curves

Practise 13 KVPY previous year questions on Area Under Curves, compiled from papers spanning 2010 to 2019. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty KVPY tests.

  1. 1The area of the region bounded by the lines x = 1 , x = 2 , and the curves x y - e x = sin x and 2 x y = 2 sin x + x 3 is2019 (SB/SX)
  2. 2Let A 1 , A 2 and A 3 be the regions on R 2 defined by A 1 = x , y : x 0 , y 0 , 2 x + 2 y - x 2 - y 2 1 x + y A 2 = x , y : x 0 , y 0 , x +2019 (SB/SX)
  3. 3The maximum possible area bounded by the parabola y = x 2 + x + 10 and a chord of the parabola of length 1 is2018 (SB/SX)
  4. 4The area bounded by the curve and is19 Nov, 2017 (SB/SX)
  5. 5Let be regions in the -plane defined by . Then05 Nov, 2017 (SA)
  6. 6The parabola divides the disc into two regions with areas and . Then equals05 Nov, 2017 (SB/SX)
  7. 7Consider the following parametric equation of a curve ; for Which one of the following graphs represents the curve ?05 Nov, 2017 (SB/SX)
  8. 8Let be the region of the disc in the first quadrant. Then the area of the largest possible circle contained in is05 Nov, 2017 (SB/SX)
  9. 9The area of the region bounded by the curve and the -axis, , is2016 (SB/SX)
  10. 10The figure shows a portions of the graph . The line is such that the areas of the regions marked I and II are equal. If are the -coordinates2015 (SB/SX)
  11. 11The area bounded by the curve , the line joining and and the line joining and is2013 (SB/SX)
  12. 12Consider the regions and in the plane. Then the area of the region is-2010 (SB/SX)
  13. 13The following figure shows the graph of a continuous function on the interval . The points , have coordinates respectively, and the lines an2010 (SB/SX)

Frequently Asked Questions

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

This chapter includes 13 questions compiled from KVPY papers spanning 2010 to 2019.

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

These are KVPY 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 KVPY Mathematics?

Area Under Curves has appeared in 7 of the 11 years of KVPY papers covered here, with 13 questions across 9 papers - about one per paper it appears in.