Determinants: Class 12 Mathematics (CBSE) important questions and practice
Determinants is chapter 4 of 13 in CBSE Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Determinant of a square matrix up to order 3
- Area of a triangle using determinants
- Minors, cofactors and adjoint of a matrix
- Inverse of a matrix using the adjoint; singular matrices
- Solving a system of linear equations using the matrix method (consistency)
What examiners usually ask
- Find the inverse of the matrix A = [[2, -3, 5], [3, 2, -4], [1, 1, -2]] and use it to solve 2x - 3y + 5z = 11, 3x + 2y - 4z = -5, x + y - 2z = -3
- Find the area of the triangle with vertices (1, 0), (6, 0), (4, 3) using determinants
- If A is a square matrix of order 3 with |A| = 5, find |adj A| and |3A|
Exam tip
The 5-mark matrix-method system of equations is set nearly every year: compute |A| first (if zero, check consistency), write the cofactor matrix carefully with signs, transpose to get adj A, and verify by substituting the solution back.
Determinants on other boards and exams
Frequently asked questions
What are the important questions from Determinants for CBSE Class 12?
The question types listed above repeat most often in CBSE Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Determinants in the CBSE Class 12 Mathematics syllabus?
Yes. Determinants is part of the current CBSE Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Determinants MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.