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Mathematics - Determinants

Practise 124 AP 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 AP EAMCET tests.

Determinants has been asked in 21 of the 24 years of AP EAMCET papers analysed (2001–2024), with 124 questions in all. 53% of them were easy, 40% moderate and 6% tough. Most of its questions came from 2021, with 24 questions that year. In the last three years (2022–2024) it had 31 questions across 28 papers, about 1.1 per paper.

The chapter's 8 topics are not weighted equally: Expansion of Determinants (64 questions, 52%), System of Linear Equations (47 questions, 38%), and Multiplication of Determinants (4 questions, 3%) have been asked the most. Expansion of Determinants has also led over the last five years, with 35 questions. Expansion of Determinants has produced the most tough questions (6).

  1. 1A value of lying between 0 and and satisfying27 May, 2025 (M)Expansion of Determinants
  2. 2If the inverse of is , then26 May, 2025 (M)Inverse of a Matrix
  3. 3If the system of equations has infinitely many solutions, then26 May, 2025 (M)System of Linear Equations
  4. 4is a singular matrix for23 May, 2025 (M)Determinants
  5. 5Preview not available - open to view this question.23 May, 2025 (M)Expansion of Determinants
  6. 6If is a real root of the equation , then the determinant of the matrix is23 May, 2025 (E)Determinants
  7. 7A is the set of all matrices of order 3 with entries 0 or 1 only. is the subset of consisting of all matrices with determinant value 1. If i22 May, 2025 (M)Expansion of Determinants
  8. 8If the lines are concurrent, then are in22 May, 2025 (M)Expansion of Determinants
  9. 9The number of solutions of the system of equations , is22 May, 2025 (E)Determinants
  10. 10In solving a system of linear equations by Cramer's rule, in the usual notation, if and , then21 May, 2025 (E)System of Linear Equations
  11. 11If , then23 May, 2024 (M)Expansion of Determinants
  12. 12If , then23 May, 2024 (M)Miscellaneous
  13. 13If the set of equations , has unique solution, then22 May, 2024 (M)System of Linear Equations
  14. 14The system of linear equations has22 May, 2024 (E)System of Linear Equations
  15. 15The system is consistent and , then21 May, 2024 (M)System of Linear Equations
  16. 16Preview not available - open to view this question.21 May, 2024 (E)Expansion of Determinants
  17. 17If , then20 May, 2024 (M)Multiplication of Determinants
  18. 18If the solution of the system of simultaneous linear equations and is , then20 May, 2024 (M)System of Linear Equations
  19. 19Preview not available - open to view this question.19 May, 2024 (E)Expansion of Determinants
  20. 20If and for some then19 May, 2024 (E)Multiplication of Determinants
  21. 21The system of equations , has no solution when19 May, 2024 (E)System of Linear Equations
  22. 22If are the roots of , then18 May, 2024 (M)Expansion of Determinants
  23. 23While solving a system of linear equations using Cramer's rule with the usual notation if and then18 May, 2024 (M)System of Linear Equations
  24. 24If , then17 May, 2023 (M)Miscellaneous
  25. 25If the solution for the system of equations , and is , then17 May, 2023 (M)System of Linear Equations
  26. 26If and are matrices such that16 May, 2023 (E)Expansion of Determinants
  27. 27If and , then15 May, 2023 (M)Expansion of Determinants
  28. 28A team of 5 students is to be selected from 12 students. If two particular students are to be included in that team, then the number of ways15 May, 2023 (M)Expansion of Determinants
  29. 29If the system of simultaneous linear equations and has unique solution, then08 Jul, 2022 (M)System of Linear Equations
  30. 30The set of values of for which the system of simultaneous equations and has no real solution is08 Jul, 2022 (M)System of Linear Equations
  31. 31If the system of simultaneous linear equations and has a unique solution , , then the value of satisfies the following quadratic equation07 Jul, 2022 (M)System of Linear Equations
  32. 32Let . If and , then is07 Jul, 2022 (E)Expansion of Determinants
  33. 33If the system of simultaneous linear equations and has a unique solution for and , then06 Jul, 2022 (E)System of Linear Equations
  34. 34If represents the system of simultaneous linear equations , and , then05 Jul, 2022 (M)System of Linear Equations
  35. 35If and are non zero real numbers, and then05 Jul, 2022 (E)Expansion of Determinants
  36. 36If the solution of the system of simultaneous equations and is then05 Jul, 2022 (E)System of Linear Equations
  37. 37For i = 1 , 2 , 3 and j = 1 , 2 , 3 . If a i 2 + b i 2 + c i 2 = 1 , a i a j + b i b j + c i c j = 0 , i j and A = a 1 a 2 a 3 b 1 b 2 b 3 c04 Jul, 2022 (M)Expansion of Determinants
  38. 38If A = 2 5 5 - and det A 10 = 1024 , then =04 Jul, 2022 (M)Expansion of Determinants
  39. 39Let A = 5 sin 2 cos 2 - sin 2 - 5 1 cos 2 1 5 . Then maximum value of det A is04 Jul, 2022 (M)Expansion of Determinants
  40. 40If a , b , c are respectively the 5 th , 8 th , 13 th terms of an arithmetic progression, then a 5 1 b 8 1 c 13 1 =04 Jul, 2022 (E)Expansion of Determinants
  41. 41Let A = - 2 x 1 x 1 1 2 3 - 1 . If the roots of the equation det A = 0 are l , m , then l 3 - m 3 =04 Jul, 2022 (E)Expansion of Determinants
  42. 42If and are two square matrices with and , then is equal to25 Aug, 2021 (M)Multiplication of Determinants
  43. 43If , then is equal to25 Aug, 2021 (M)Expansion of Determinants
  44. 44The values of for which the given matrix will be non-singular are25 Aug, 2021 (M)Expansion of Determinants
  45. 45If and are real numbers such that , then25 Aug, 2021 (M)Expansion of Determinants
  46. 46The number of solutions of the following system of linear homogeneous equations and is25 Aug, 2021 (E)System of Linear Equations
  47. 47The system of equations and has no solution25 Aug, 2021 (E)System of Linear Equations
  48. 48If each element, of a determinant of third order with value , is multiplied by 3 , then the value of newly formed determinant is25 Aug, 2021 (E)Expansion of Determinants
  49. 49If the determinant is expanded in powers of , then the constant term in the expansion is25 Aug, 2021 (E)Expansion of Determinants
  50. 50Let , Let what is the cardinality of ?25 Aug, 2021 (E)System of Linear Equations

Frequently Asked Questions

1.How many questions are available for Determinants?

This chapter includes 124 questions compiled from AP EAMCET papers spanning 2003 to 2025.

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

These are AP 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 AP EAMCET Mathematics?

Determinants has appeared in 22 of the 25 years of AP EAMCET papers covered here, with 124 questions across 74 papers - about 2 per paper it appears in.

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

Of the 124 questions analysed for this chapter, 53% are easy, 40% moderate and 6% tough. 2021 had the most, with 24 questions.

5.Which topics in Determinants should I focus on?

These topics have carried the most weightage in Determinants:

  • Expansion of Determinants - 64 questions (52%)
  • System of Linear Equations - 47 questions (38%)
  • Multiplication of Determinants - 4 questions (3%)
  • Expansion of Determinants has produced the most tough questions (6).
6.Is Determinants's weightage in AP EAMCET going up or down?

Across all 74 papers analysed, Determinants has averaged about 1.7 questions per paper. In the last three years (2022–2024), that average has fallen, at about 1.1 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.