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Mathematics - Continuity and Differentiability

Practise 14 VITEEE previous year questions on Continuity and Differentiability, compiled from papers spanning 2007 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 VITEEE tests.

Continuity and Differentiability has been asked in 12 of the 18 years of VITEEE papers analysed (2006–2024), with 14 questions in all. 43% of them were easy, 50% moderate and 7% tough. Most of its questions came from 2019, with 2 questions that year. In the last three years (2022–2024) it had 2 questions across 2 papers, about 1 per paper.

The chapter's 2 topics are not weighted equally: Differentiability (8 questions, 57%) and Continuity (6 questions, 43%) have been asked the most. Differentiability has also led over the last five years, with 3 questions. Differentiability has produced the most tough questions (1).

  1. 1Let \(f: R R\) be a function defined by \(f(x)= \{x+1,|x|+1\}\), Then which of the following is true?2023Differentiability
  2. 2Let \(f(x)=| x|\). Then2022Differentiability
  3. 3If to , then at2021Differentiability
  4. 4At how many points between the interval is the function is not differentiable.2019Differentiability
  5. 5Let be the function defined by2019Continuity
  6. 6The no. of points of discontinuity of the function in the interval are2018Continuity
  7. 7at is2018Differentiability
  8. 8The set of points of discontinuity of the function is given by2017Continuity
  9. 9If for and is2016Continuity
  10. 10If , then the value of and , if is continuous at , are respectively.2013Continuity
  11. 11If is continuous at , then2012Continuity
  12. 12If2011Differentiability
  13. 13If is defined by then the value of so that is continuous at 0 is2009Differentiability
  14. 14Everybody in a room shakes hands with everybody else. The total number of hand shakes is 66 . The total number of persons in the room is2007Differentiability

Frequently Asked Questions

1.How many questions are available for Continuity and Differentiability?

This chapter includes 14 questions compiled from VITEEE papers spanning 2007 to 2023.

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

These are VITEEE questions specifically for the Continuity and Differentiability chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Continuity and Differentiability an important chapter for VITEEE Mathematics?

Continuity and Differentiability has appeared in 12 of the 18 years of VITEEE papers covered here, with 14 questions across 12 papers - about one per paper it appears in.

4.What is the difficulty level of Continuity and Differentiability questions in VITEEE?

Of the 14 questions analysed for this chapter, 43% are easy, 50% moderate and 7% tough. 2019 had the most, with 2 questions.

5.Which topics in Continuity and Differentiability should I focus on?

These topics have carried the most weightage in Continuity and Differentiability:

  • Differentiability - 8 questions (57%)
  • Continuity - 6 questions (43%)
  • Differentiability has produced the most tough questions (1).
6.Is Continuity and Differentiability's weightage in VITEEE going up or down?

Across all 12 papers analysed, Continuity and Differentiability has averaged about 1.2 questions per paper. In the last three years (2022–2024), that average has stayed about the same, 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.