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Mathematics - Continuity and Differentiability

Practise 26 Manipal (MET) previous year questions on Continuity and Differentiability, compiled from papers spanning 2010 to 2021. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty Manipal (MET) tests.

Continuity and Differentiability has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 26 questions in all. 46% of them were easy, 38% moderate and 15% tough. Most of its questions came from 2018, with 4 questions that year.

The chapter's 2 topics are not weighted equally: Continuity (22 questions, 85%) and Differentiability (4 questions, 15%) have been asked the most. Continuity has also led over the last five years, with 1 question. Continuity has produced the most tough questions (4).

  1. 1The function and its derivative are same for2021Differentiability
  2. 2The number of points, where (where [.] denotes the greatest integer function) and is not continuous, is2020Continuity
  3. 3If , then2019Continuity
  4. 4Let , when and , when . Then will be differentiable at , if2019Differentiability
  5. 5The function where [] denotes the greatest integer function, is discontinuous at2019Continuity
  6. 6If is continuous at , then is2018Continuity
  7. 7If for and and is continuous at , then is equal to2018Continuity
  8. 8If is continuous at , then the value of is2018Continuity
  9. 9If is continuous at , then is equal to2018Continuity
  10. 10If , then2017Continuity
  11. 11If is continuous at , then is equal to2017Continuity
  12. 12If the function is continuous at , then the value of is2016Continuity
  13. 13If and , then is2016Continuity
  14. 14If is a continuous at , then is equal to2015Continuity
  15. 15If [] denotes the greatest integer function, then2015Continuity
  16. 16If , then2015Continuity
  17. 17is continuous in , if ' ' equals to2014Continuity
  18. 18The function , where denotes the greatest integer function, is discontinuous at2014Continuity
  19. 19The function is non-differentiable at2014Differentiability
  20. 20Preview not available - open to view this question.2013Continuity
  21. 21Function is defined as follows If is continuous at , but discontinuous at then the locus of the point is a straight line excluding the point2013Continuity
  22. 22The function is not defined at . The value which should be assigned to at so that it is continuous at , is2012Continuity
  23. 23If , then is2012Continuity
  24. 24The value of , so that the function is continuous everywhere is given by2011Continuity
  25. 25The set of points where the function is differentiable, is2011Differentiability
  26. 26If , then the value of for which cannot be continuous at is2010Continuity

Frequently Asked Questions

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

This chapter includes 26 questions compiled from Manipal (MET) papers spanning 2010 to 2021.

2.Are these questions only from Manipal (MET), or from other exams too?

These are Manipal (MET) 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 Manipal (MET) Mathematics?

Continuity and Differentiability has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 26 questions across 12 papers - about 2 per paper it appears in.

4.What is the difficulty level of Continuity and Differentiability questions in Manipal (MET)?

Of the 26 questions analysed for this chapter, 46% are easy, 38% moderate and 15% tough. 2018 had the most, with 4 questions.

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

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

  • Continuity - 22 questions (85%)
  • Differentiability - 4 questions (15%)
  • Continuity has produced the most tough questions (4).