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Mathematics - Determinants

Practise 31 VITEEE previous year questions on Determinants, compiled from papers spanning 2006 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.

Determinants has been asked in 16 of the 18 years of VITEEE papers analysed (2006–2024), with 31 questions in all. 65% of them were easy, 29% moderate and 6% tough. Most of its questions came from 2008, with 4 questions that year. In the last three years (2022–2024) it had 2 questions across 2 papers, about 1 per paper.

The chapter's 4 topics are not weighted equally: Expansion of Determinants (18 questions, 58%), System of Linear Equations (10 questions, 32%), and Summation of Determinants (2 questions, 6%) have been asked the most. Over the last five years the most frequent topics have been System of Linear Equations (2) and Expansion of Determinants (1). Expansion of Determinants has produced the most tough questions (1).

  1. 1If \( | {array}{ccc}3^2+k & 4^2 & 3^2+3+k \\ 4^2+k & 5^2 & 4^2+4+k \\ 5^2+k & 6^2 & 5^2+5+k {array} |=0\), then the value of \(k\) is2023Expansion of Determinants
  2. 2If the system of equations \(x+ y+2=0\), \( x+y-2=0, x+ y+3=0\) is consistent, then2022System of Linear Equations
  3. 3The equations and are2021System of Linear Equations
  4. 4The system of linear equations : has :2019System of Linear Equations
  5. 5If are in then the value of is:2019Expansion of Determinants
  6. 6The value of the determinant is2018Expansion of Determinants
  7. 7If the equations , ax have non-trivial solutions, then2018System of Linear Equations
  8. 8The value of obtained from the equation will be2017Expansion of Determinants
  9. 9If , then is equal to2017Expansion of Determinants
  10. 10Find the value of for which the simultaneous equations and will not have a unique solution.2015System of Linear Equations
  11. 11If the system of equations , and , has non-zero solution, then is equal to2014System of Linear Equations
  12. 12If , then is equal to2014Expansion of Determinants
  13. 13If , then the value of2014Expansion of Determinants
  14. 14If and are in , then determinant is2013Expansion of Determinants
  15. 15The value of the determinant2013Expansion of Determinants
  16. 16If and are all distinct and , then the value of is2012Expansion of Determinants
  17. 17The value of the determinant is2012Expansion of Determinants
  18. 18Which of the following is correct?2011Miscellaneous
  19. 19If and are the roots of , then the value of is2011Expansion of Determinants
  20. 20The system of equations , , is consistent. Then, is equal to2011System of Linear Equations
  21. 21The equation of the common tangents to the two hyperbolas and , are2010System of Linear Equations
  22. 22Range of the function , is2010Expansion of Determinants
  23. 23The distance between the line and the plane , is2010Expansion of Determinants
  24. 24If are all positive and are the and terms of a geometric progression respectively, then the value of the determinant equals2009Summation of Determinants
  25. 25The differential equation admits2008System of Linear Equations
  26. 26Let and be statements and suppose that . if , then2008Expansion of Determinants
  27. 27If are different from zero and then the value of the expression is2008System of Linear Equations
  28. 28The number of real roots of the equation is2008Expansion of Determinants
  29. 29The area of a parallelogram with and as diagonals is2007Summation of Determinants
  30. 30The values of for which the system of equation is consistent are given by2006Expansion of Determinants
  31. 31An equilateral triangle is inscribed in the parabola one of whose vertex is at the vertex of the parabola, the length of each side of the tr2006Expansion of Determinants

Frequently Asked Questions

1.How many questions are available for Determinants?

This chapter includes 31 questions compiled from VITEEE papers spanning 2006 to 2023.

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

These are VITEEE 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 VITEEE Mathematics?

Determinants has appeared in 16 of the 18 years of VITEEE papers covered here, with 31 questions across 16 papers - about 2 per paper it appears in.

4.What is the difficulty level of Determinants questions in VITEEE?

Of the 31 questions analysed for this chapter, 65% are easy, 29% moderate and 6% tough. 2008 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 - 18 questions (58%)
  • System of Linear Equations - 10 questions (32%)
  • Summation of Determinants - 2 questions (6%)
  • Expansion of Determinants has produced the most tough questions (1).
6.Is Determinants's weightage in VITEEE going up or down?

Across all 16 papers analysed, Determinants has averaged about 1.9 questions per paper. In the last three years (2022–2024), 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.