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NCERT Class 12 Mathematics Chapters
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1.
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If |A| = 2, where A is a 2 × 2 matrix, then |4A-1| equals :
(a) 4 (b) 2 (c) 8 (d)
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2.
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Let A be a 3 × 3 matrix such that |adj A| = 64. Then |A| is equal to :
(a) 8 only (b) -8 only (c) 64 (d) 8 or -8
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3.
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If
 where A is a 3 × 3 matrix, then the value of k is :(a)
 (b) 8 (c) 2 (d)  |
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4.
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If
 is a singular matrix, then the product of all possible values of x is :(a) 6 (b) -6 (c) 0 (d) -7
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5.
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If
 is a non-singular matrix and a ∈ A, then the set A is(a) ℝ (b) {0} (c) {4} (d) ℝ - {4}
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1.
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Show that the determinant
 is independent of θ(CBSE 2023, 3M)
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2.
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If a, b, c are pth, qth and rth terms respectively of a G.P, then prove that
 (CBSE 2020, 6M)
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3.
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Using determinants, find the area of ∆PQR with vertices P(3, 1), Q(9, 3) and R(5, 7). Also, find the equation of line PQ using determinants.
(CBSE 2023, 3M)
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4.
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If A =
 and B-1 =  find (AB)-1.(CBSE 2023, 5M)
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5.
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Solve the following system of equations by matrix method :
x + 2y + 3z = 6
2x - y + z = 2
3x + 2y - 2z = 3
(CBSE 2023, 5M)
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Chapter Name
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Sub Topics
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Chapter 4: Determinants
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4.1 Introduction to Determinants
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4.2 Properties of Determinants
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4.3 Cofactor Expansion
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4.4 Minors and Cofactors
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4.5 Application of Determinants
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4.6 Area of Triangle using Determinants
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4.7 Solving Linear Equations using Determinants
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4.8 Inverse of a Matrix (Relation with Determinants)
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