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Mathematics - Determinants

Practise 27 Manipal (MET) previous year questions on Determinants, 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.

Determinants has been asked in 12 of the 15 years of Manipal (MET) papers analysed (2010–2024), with 27 questions in all. 56% of them were easy, 33% moderate and 11% tough. Most of its questions came from 2014, with 4 questions that year.

The chapter's 5 topics are not weighted equally: Expansion of Determinants (14 questions, 52%), System of Linear Equations (9 questions, 33%), and Summation of Determinants (2 questions, 7%) have been asked the most. Over the last five years the most frequent topics have been System of Linear Equations (3) and Expansion of Determinants (1). Summation of Determinants has produced the most tough questions (2).

  1. 1In the determinant , the sum of the cofactors of and is2021Expansion of Determinants
  2. 2The value of ' ' for which the system of equations possesses non-zero solutions are given by2021System of Linear Equations
  3. 3The system of linear equations , has2021System of Linear Equations
  4. 4The values of such that and are2020System of Linear Equations
  5. 5If , then the value of the determinant is2019Expansion of Determinants
  6. 6The value of is equal to2018Expansion of Determinants
  7. 7If and are negative and different real numbers, then is2018Expansion of Determinants
  8. 8If , then is equal to2018Miscellaneous
  9. 9If , then is equal to2017Expansion of Determinants
  10. 10If and are the given determinants, then2017Multiplication of Determinants
  11. 11The system , has2017System of Linear Equations
  12. 12equals2016Expansion of Determinants
  13. 13In a , if , then is equal to2015Expansion of Determinants
  14. 14Let , then the value of is2015Summation of Determinants
  15. 15The value of the determinant is2014Expansion of Determinants
  16. 16If and , then is equal to2014Summation of Determinants
  17. 17The value of and for which the system of equations and have no solution, are2014System of Linear Equations
  18. 18If , then the value of is2014Expansion of Determinants
  19. 19Coefficient of in is2013Expansion of Determinants
  20. 20Let and be the roots of and respectively. If the system of equations and has non-trivial solution, then2013System of Linear Equations
  21. 21Let , then value of the determinant is2012Expansion of Determinants
  22. 22Let and be real has a non-trivial solution. If , then all the values of is equals2012System of Linear Equations
  23. 23The value of is2011Expansion of Determinants
  24. 24If , and , then the given system has2011System of Linear Equations
  25. 25The existence of the unique solution of the system , depends on2011System of Linear Equations
  26. 26If the matrix has rank 3, then2010Expansion of Determinants
  27. 27For positive numbers the numerical value of the determinant is2010Expansion of Determinants

Frequently Asked Questions

1.How many questions are available for Determinants?

This chapter includes 27 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 Determinants chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Determinants an important chapter for Manipal (MET) Mathematics?

Determinants has appeared in 12 of the 15 years of Manipal (MET) papers covered here, with 27 questions across 12 papers - about 2 per paper it appears in.

4.What is the difficulty level of Determinants questions in Manipal (MET)?

Of the 27 questions analysed for this chapter, 56% are easy, 33% moderate and 11% tough. 2014 had the most, with 4 questions.

5.Which topics in Determinants should I focus on?

These topics have carried the most weightage in Determinants:

  • Expansion of Determinants - 14 questions (52%)
  • System of Linear Equations - 9 questions (33%)
  • Summation of Determinants - 2 questions (7%)
  • Summation of Determinants has produced the most tough questions (2).