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Mathematics - Determinants

Practise 20 BITSAT previous year questions on Determinants, compiled from papers spanning 2009 to 2024. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty BITSAT tests.

Determinants has been asked in 11 of the 16 years of BITSAT papers analysed (2009–2024), with 20 questions in all. 60% of them were easy, 35% moderate and 5% tough. Most of its questions came from 2024, with 4 questions that year. In the last three years (2022–2024) it had 6 questions across 4 papers, about 1.5 per paper.

The chapter's 4 topics are not weighted equally: System of Linear Equations (10 questions, 50%), Expansion of Determinants (8 questions, 40%), and Miscellaneous (1 question, 5%) have been asked the most. System of Linear Equations has also led over the last five years, with 6 questions. Multiplication of Determinants has produced the most tough questions (1).

  1. 1If the system of linear equations where has infinitely many solutions, then is equal to:2024 (Memory Based Paper 1)System of Linear Equations
  2. 2If is a complex root of the equation , then2024 (Memory Based Paper 2)Miscellaneous
  3. 3The equations have2024 (Memory Based Paper 2)System of Linear Equations
  4. 4Suppose and system of equation , has a non-trivial solution, then the value of is2024 (Memory Based Paper 3)System of Linear Equations
  5. 5Given , , then the value of such that the given system of equation has no solution is2022System of Linear Equations
  6. 6If and the system of equations has a non-trivial solution, then the value of is2022System of Linear Equations
  7. 7Suppose and system of equation has a non-trivial solution, then value of is2020System of Linear Equations
  8. 8If system of equation a x + y + z = a , x + b y + z = b and x + y + c z = c is inconsistent, then which of the following is correct?2019System of Linear Equations
  9. 9Let a , b , c R + and the system of equations ( 1 - a ) x + y + z = 0 , x + ( 1 - b ) y + z = 0 and x + y + ( 1 - c ) z = 0 has infinitely m2019System of Linear Equations
  10. 10If x 2 = sin cos 0 - cos sin 1 sin cos 2 then the value of 4 x 2 + x sin 3 2 + 5 is2018Expansion of Determinants
  11. 11If the matrix is singular, then2016Expansion of Determinants
  12. 12Let and be the roots of and respectively. If the system of equations and has a non-trivial solution, then2016System of Linear Equations
  13. 13If [ ] denotes the greatest integer less than or equal to the real number under consideration and $-1 x is2016Expansion of Determinants
  14. 14If then the value of is2014Expansion of Determinants
  15. 15The determinant2013Expansion of Determinants
  16. 16The equations and are2012System of Linear Equations
  17. 17The value of the determinant is2012Expansion of Determinants
  18. 18If \(A= [ {array}{ll}1 & 3 \\ 3 & 2 \\ 2 & 5 {array} ]\) and \(B= [ {array}{cc}-1 & -2 \\ 0 & 5 \\ 3 & 1 {array} ]\) and \( {A}+ {B}- {D}=0\2010Expansion of Determinants
  19. 19If \( {a} > 0, {~b} > 0, {c} > 0\) are respectively the \( {pth}, {q}\) th, rth terms of GP., then the value of the determinant \( | {array}2009Expansion of Determinants
  20. 20The digits \( {A}, {B}\) and \( {C}\) are such that the three digit numbers \(A 88,6 {~B} 8,86 {C}\) are divisible by 72 then the determinan2009Multiplication of Determinants

Frequently Asked Questions

1.How many questions are available for Determinants?

This chapter includes 20 questions compiled from BITSAT papers spanning 2009 to 2024.

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

These are BITSAT 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 BITSAT Mathematics?

Determinants has appeared in 11 of the 16 years of BITSAT papers covered here, with 20 questions across 13 papers - about 2 per paper it appears in.

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

Of the 20 questions analysed for this chapter, 60% are easy, 35% moderate and 5% tough. 2024 had the most, with 4 questions.

5.Which topics in Determinants should I focus on?

These topics have carried the most weightage in Determinants:

  • System of Linear Equations - 10 questions (50%)
  • Expansion of Determinants - 8 questions (40%)
  • Miscellaneous - 1 question (5%)
  • Multiplication of Determinants has produced the most tough questions (1).
6.Is Determinants's weightage in BITSAT going up or down?

Across all 13 papers analysed, Determinants has averaged about 1.5 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 1.5 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.