CBSE Class 12 Determinants Multiple Choice Questions with Answers. MCQ Questions Class 12 Determinants with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Determinants with Answers to know their preparation level.
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MCQ Questions Class 12 Determinants with Answers - Set - 5
Question 1:
Let A be a square matrix all of whose entries are integers. Then which of the following is true?
(a) If det A = ± 1, then A-1 need not exist
(b) If det A = ± 1, then A-1 exists but all entries are not necessarily integers.
(c) If det A ≠ ± 1, then A-1 exists and all its entries are non-integers
(d) If det A = ± 1, then A-1 exists and all its entries are integers
Correct Answer – (D)
Question 2:
Let A be a non-singular matrix of order 3 × 3. Then |adj. A| is equal to
(a) |A|
(b) |A|²
(c) |A|³
(d) 3|A|
Correct Answer – (B)
Question 3:
Which of the following is correct?
(a) Determinant is a square matrix
(b) Determinant is a number associated to a matrix
(c) Determinant is a number associated to a square matrix
(d) None of these.
Correct Answer – (C)
Question 4:
The value of the determinant
(a) (α + β)(β + γ)(γ + α)
(b) (α – β)(β – γ) (γ – α) (α + β + γ)
(c) (α + β + γ)² (α – β – γ)²
(d) αβγ (α + β + γ)
Correct Answer – (A)
MCQ Questions Class 12 Determinants With Answers
Question 6:
The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of ‘k’ will be:
(a) 9
(b) 3
(c) -9
(d) 6.
Correct Answer – (B)
Question 7:
If area of triangle is 35 sq. units with vertices (2, -6), (5, 4) and (k, 4). Then k is
(a) 12
(b) -2
(c) -12, -2
(d) 12, -2.
Correct Answer – (D)
Question 8:
Let A be a square matrix of order 3 × 3. Then |kA| is equal to
(a) k|A|
(b) k²|A|
(c) k³|A|
(d) 3k|A|
Correct Answer – (C)
Question 9:
Let Δ = 
then the value of Δ is
(a) (x – y) (y- z)(z – x)
(b) xyz
(c) x² + y² + z²)²
(d) xyz (x – y)(y – z) (z – x)
Correct Answer – (A)
Question 10:
If x is a complex root of the equation 
then x2007 + x-2007 =
(a) 1
(b) -1
(c) -2
(d) 2
Correct Answer – (C)
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