Determinants – JEE Main Previous Year Questions (2014–2025)

All 29 JEE Main previous-year questions from Determinants (Maths), 2014–2025, taken from 10 papers. Practise them together in one test with the official marking and answer key, then review every answer.

▶ Practise all 29 questionsAll JEE Main chapters

Determinants questions by paper

Sample questions

• JEE Main 2025 22 Jan Shift 1
  ot A be a square matrix of order 3 such that det A 2 and det adj 2 3 Then is equal to
• JEE Main 2025 22 Jan Shift 2
  For a matrix let trace denote the sum of all the diagonal elements of Let A be a matrix such that A 4 and trace A 3 If adj adj then the value of trace equals Options…
• JEE Main 2025 22 Jan Shift 2
  If the system of linear equations 6 a 1 where a has infinitely many solutions then is equal to Options 9 22 3 16 4 1
• JEE Main 2025 (Apr) Maths bank
  If the system of equations 5 7 9 has infinitely many solutions then 2 2 is equal to

Question text shown from the scanned paper; open the test to see each question exactly as printed.

More Maths chapters

• Sets 6
• Relations and Functions 38
• Trigonometric Functions 21
• Complex Numbers and Quadratic Equations 49
• Permutations and Combinations 31
• Binomial Theorem 29
• Sequences and Series 38
• Straight Lines 27
• Conic Sections 75
• Three Dimensional Geometry 47
• Limits and Derivatives 22
• Mathematical Reasoning 6
• Statistics 13
• Probability 29
• Inverse Trigonometric Functions 15
• Matrices 15
• Continuity and Differentiability 15
• Application of Derivatives 26
• Integrals 40
• Application of Integrals 27
• Differential Equations 27
• Vector Algebra 28