Determinants Roadmap – One-Shot Revision Guide for CBSE Class 12

Preparing for your CBSE Class 12 Maths exam? Struggling to revise Determinants effectively? This one-shot roadmap will help you master the chapter in under 60 minutes with a structured, focused, and smart revision plan. Perfect for last-minute preparation and quick concept recall!

📌 Chapter Overview

Determinants are scalar values derived from square matrices. They play a vital role in solving linear equations, checking matrix invertibility, and appear in numerous engineering and competitive entrance exams like JEE Main and CUET.

✅ Learning Objectives

• Understand the definition and structure of determinants (2×2 and 3×3).
• Master the standard formulas and shortcut techniques.
• Learn properties of determinants for faster calculation.
• Apply Cramer’s Rule to solve linear equations.
• Evaluate determinants using cofactor expansion.

🔢 Key Formulas to Remember

💡 Properties of Determinants

• Two identical rows or columns ⇒ |A| = 0
• Interchanging two rows or columns ⇒ Sign changes
• Multiplying a row by k ⇒ Determinant multiplies by k
• Det(A) = Det(Aᵗ)

🎯 One-Shot Study Plan (60 Minutes)

• 0–15 min: Revise definitions and basic 2×2, 3×3 determinant formulas
• 15–30 min: Learn and practice 4–5 properties of determinants
• 30–40 min: Solve 2–3 short examples (NCERT or PYQs)
• 40–50 min: Cramer’s Rule – 1 numerical (3-variable linear equations)
• 50–60 min: Practice 1 HOTS problem or case-based question

🔥 Most Asked Questions (Board Pattern)

• Prove: Determinant of a matrix with 2 identical rows is zero
• Evaluate the determinant of:

  | 1  2  3 |
  | 2  5  6 |
  | 1  4  7 |

• Use Cramer’s Rule to solve:

  2x + 3y = 5
  x - y = 1

🧠 Visual Learning Tips

• Draw determinant expansion trees for 3×3 matrices.
• Use color codes for cofactors and minors.
• Stick formula flashcards near your study desk.

📚 Final Thoughts

With this roadmap, you now have a complete one-shot revision of Determinants for CBSE Class 12. Regular practice with properties, formulas, and board-style questions will ensure accuracy and speed in your final exam.

For printable worksheets, mock tests, and more one-shot notes, visit More-Marks.com.