NCERT Mathematics · Class XII · Chapter 4

Determinants

Previous Years' Objective Questions — Entrance Exam Series

50Questions
1995From
2022To
8Exams
AIEEEAIIMSAIPMTBITSATIIT-JEEJEE AdvancedJEE MainKVPY
Properties of DeterminantsArea of a TriangleMinors and CofactorsAdjoint of a MatrixInverse of a MatrixApplications of Determinants
How to Attempt
  • Expand along the row/column with most zeros for speed.
  • Use properties of determinants to simplify before expanding.
  • Area of triangle — remember the ½|det| shortcut.
  • MathJax renders all determinant notation — wait for it.
  • Timer starts on Q1 — 2 min average per question.
  • Review all answers before Submit.

Determinants pairs tightly with Matrices and is a near-guaranteed JEE topic. These 50 questions from 1995–2022 cover properties, cofactor expansion, adjoint/inverse, and applications to systems of equations.

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Determinants — Learning Resources

📄 Detailed Notes
✔️ True / False
📌 Exercise
🎯 Advance MCQs
📝 Exercises
DETERMINANTS - Exercise 4.2 DETERMINANTS - Exercise 4.3 DETERMINANTS - Exercise 4.4 DETERMINANTS - Exercise 4.5 DETERMINANTS - Exercise-4.1 DETERMINANTS - Miscellaneous Exercise

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