Determinants Important Board Questions – Class 12 CBSE Maths
Are you preparing for your CBSE Class 12 Mathematics board exams? The chapter on Determinants carries high weightage and is scoring if prepared well. This guide brings you the most commonly asked, important, and expected board exam questions from previous years and mock sets. Perfect for last-minute revision and smart practice.
📘 Chapter Weightage in CBSE Boards
Determinants generally appears in the 5–6 mark category in the final board paper. Expect questions involving properties, evaluation of 3×3 determinants, and application-based problems using Cramer’s Rule.
✅ Board-Important Questions
Marks: 2
| 3 2 1 | | 2 1 3 | | 1 3 2 |Marks: 3
| a b c | | b c a | | c a b | = (a + b + c)³Marks: 4
2x + y + 3z = 12 x + 2y + z = 10 3x + y + 2z = 13Marks: 5
If A, B, C are collinear points, then the area of triangle ABC = 0.
Hint: Use determinant method for area.
Marks: 3
🧠 Short Tricks and Tips
Tip 2: Remember that row or column interchange changes the sign of determinant.
Tip 3: Practice area-based and Cramer’s Rule problems together — they often appear alternately in boards.
📌 How to Present Solutions in Boards
- Always write the formula before substitution.
- Draw proper brackets around matrices and determinants.
- Use headers like “By using property…” while applying row/column operations.
- Box your final answers wherever required.
📝 Board Exam Tips
- Revise determinant properties twice before exam day.
- Practice from NCERT examples and exemplar questions.
- Time yourself while solving Cramer’s Rule-based questions.
- Use diagram-based questions (like area of triangle) for visual memory.
Remember, CBSE board questions on Determinants are mostly repetitive in nature. With focused preparation and solving 10–15 past year questions, you can easily secure full marks in this section.
Stay updated with more board tips and free downloadable worksheets at worksheet-solutions.pdf.