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Mathematics - Determinants

Practise 110 TS EAMCET previous year questions on Determinants, compiled from papers spanning 2003 to 2025. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty TS EAMCET tests.

Determinants has been asked in 21 of the 24 years of TS EAMCET papers analysed (2001–2024), with 110 questions in all. 46% of them were easy, 47% moderate and 6% tough. Most of its questions came from 2022, with 13 questions that year. In the last three years (2022–2024) it had 34 questions across 17 papers, about 2 per paper.

The chapter's 7 topics are not weighted equally: Expansion of Determinants (49 questions, 45%), System of Linear Equations (46 questions, 42%), and Miscellaneous (5 questions, 5%) have been asked the most. Expansion of Determinants has also led over the last five years, with 25 questions. System of Linear Equations has produced the most tough questions (4).

  1. 1to then04 May, 2025 (M)Expansion of Determinants
  2. 2The number of real values of ' ', for which the system of equations , and has nontrivial solutions is04 May, 2025 (E)System of Linear Equations
  3. 3If the system of simultaneous linear equations and is inconsistent for and , then03 May, 2025 (M)System of Linear Equations
  4. 4The system of linear equations and , where , has non-trivial solution for03 May, 2025 (M)System of Linear Equations
  5. 5The sum of all the roots of the equation is03 May, 2025 (M)Expansion of Determinants
  6. 6If the system of linear equations , has non-trivial solution, then the least positive value of is03 May, 2025 (E)System of Linear Equations
  7. 7If and , then03 May, 2025 (E)Determinants
  8. 8If , then03 May, 2025 (E)Determinants
  9. 9If , then are the roots of the equation02 May, 2025 (M)Expansion of Determinants
  10. 10If , then02 May, 2025 (M)Expansion of Determinants
  11. 11If , then02 May, 2025 (E)Expansion of Determinants
  12. 12If satisfies the equation , then also satisfies the equation11 May, 2024 (M)Expansion of Determinants
  13. 13If the homogeneous system of linear equations non-trivial solution, then11 May, 2024 (M)System of Linear Equations
  14. 14If and , then10 May, 2024 (M)Expansion of Determinants
  15. 15The system of equations , and has10 May, 2024 (M)System of Linear Equations
  16. 16The system of equations 0 and has10 May, 2024 (E)System of Linear Equations
  17. 17Preview not available - open to view this question.10 May, 2024 (E)Expansion of Determinants
  18. 18Preview not available - open to view this question.09 May, 2024 (M)Expansion of Determinants
  19. 19The system of simultaneous linear equations has09 May, 2024 (M)System of Linear Equations
  20. 20If are the roots of the equation and , then09 May, 2024 (E)Summation of Determinants
  21. 21If and , then09 May, 2024 (E)Expansion of Determinants
  22. 22If represents the system of linear equations and , then09 May, 2024 (E)Miscellaneous
  23. 23If is the unique solution of the system of simultaneous linear equations , then09 May, 2024 (E)System of Linear Equations
  24. 24then is equal to14 May, 2023 (E)Expansion of Determinants
  25. 25If the system of equations and is solvable by Matrix Inversion Method, then14 May, 2023 (E)System of Linear Equations
  26. 26Preview not available - open to view this question.13 May, 2023 (M)Summation of Determinants
  27. 27If the unique solution of the simultaneous linear equations is , then13 May, 2023 (M)System of Linear Equations
  28. 28If is the unique solution of the system of linear equations and then13 May, 2023 (E)System of Linear Equations
  29. 29If and , then12 May, 2023 (M)Expansion of Determinants
  30. 30If the system of equations can be solved by matrix inversion method then12 May, 2023 (M)System of Linear Equations
  31. 31Preview not available - open to view this question.12 May, 2023 (E)Expansion of Determinants
  32. 32If is a cube root of unity, then12 May, 2023 (E)Expansion of Determinants
  33. 33If , then20 Jul, 2022 (M)Expansion of Determinants
  34. 34,20 Jul, 2022 (M)Expansion of Determinants
  35. 35If then20 Jul, 2022 (M)Differentiation and Integration of Determinants
  36. 36In the matrix , if the cofactors of -6 and -7 are respectively 22 and 27 , then20 Jul, 2022 (E)Expansion of Determinants
  37. 37Consider the simultaneous linear equations , . In the usual notation used in Crammer's rule, given that , then20 Jul, 2022 (E)System of Linear Equations
  38. 38If , then19 Jul, 2022 (M)Multiplication of Determinants
  39. 39Let be two matrices and be a unit matrix such that is a non-singular matrix. Let . Then, consider the following statements. Statement I : St19 Jul, 2022 (E)Expansion of Determinants
  40. 40Let then19 Jul, 2022 (E)Expansion of Determinants
  41. 411 1 1 a 2 b 2 c 2 a 3 b 3 c 3 =18 Jul, 2022 (M)Expansion of Determinants
  42. 42If 1 2 3 2 3 - 5 1 2 5 = 3 5 2 , then 3 + 3 + 3 =18 Jul, 2022 (M)System of Linear Equations
  43. 43A , P , B are 3 3 matrices. If - B = 5 , B A T = 15 , P T AP = - 27 , then one of the values of P is18 Jul, 2022 (E)Expansion of Determinants
  44. 44Let x = , y = , z = be the unique solution of the system of simultaneous linear equations 2 x + 3 y - 2 z + 4 = 0 , 3 x - 4 y + 3 z + 5 = 0 18 Jul, 2022 (E)System of Linear Equations
  45. 45If x 2 + 7 x 2 + 1 x - 2 = A x - 2 + B x + C x 2 + 1 then the determinant of the matrix A B C 2 5 is18 Jul, 2022 (E)Expansion of Determinants
  46. 46If the system of equations , and is consistent, then is equal to06 Aug, 2021 (M)System of Linear Equations
  47. 47Let A and B be two 3 3 non singular matrices, such that det A T B A = 27 and det A B - 1 = 8 . Then det B T A - 1 B =05 Aug, 2021 (M)Miscellaneous
  48. 48If the system of equations 2 x + 9 y + 5 z = 8 , 2 x + 3 y - z = - 4 , x - 2 z = - 5 have an infinite number of solutions x = - 5 + a t , y 05 Aug, 2021 (E)System of Linear Equations
  49. 49If the system of equations 3 x - 2 y + z = 0 , x - 14 y + 15 z = 0 , x + 2 y - 3 z = 0 has a solution other than x = y = z = 0 , then =04 Aug, 2021 (M)System of Linear Equations
  50. 50If = 1 a a 2 1 b b 2 1 c c 2 = K a - b b - c c - a , then K =04 Aug, 2021 (M)Expansion of Determinants

Frequently Asked Questions

1.How many questions are available for Determinants?

This chapter includes 110 questions compiled from TS EAMCET papers spanning 2003 to 2025.

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

These are TS EAMCET 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 TS EAMCET Mathematics?

Determinants has appeared in 22 of the 25 years of TS EAMCET papers covered here, with 110 questions across 59 papers - about 2 per paper it appears in.

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

Of the 110 questions analysed for this chapter, 46% are easy, 47% moderate and 6% tough. 2022 had the most, with 13 questions.

5.Which topics in Determinants should I focus on?

These topics have carried the most weightage in Determinants:

  • Expansion of Determinants - 49 questions (45%)
  • System of Linear Equations - 46 questions (42%)
  • Miscellaneous - 5 questions (5%)
  • System of Linear Equations has produced the most tough questions (4).
6.Is Determinants's weightage in TS EAMCET going up or down?

Across all 59 papers analysed, Determinants has averaged about 1.9 questions per paper. In the last three years (2022–2024), that average has stayed about the same, at about 2.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.