These Determinants Class 12 MCQ And Answers are most important for your upcoming examinations including JEE Main & JEE Advanced. These Determinants Class 12 MCQ And Answers will help you to score good marks in your exams by helping you to prepare the concepts better and hence, help you to understand the concepts more clearly.
Determinants Class 12 MCQ And Answers
1. If 
then the value of x is
(A) ±2
(B) ±1/3
(C) ±√3
(D) ± (0.5)
Answer: ±√3
2. The determinant 
equals
(A) abc(b – c)(c -a)(a – b)
(B) (b – c)(c – a)(a – b)
(C) (a + b + c)(b – c)(c – a)(a – b)
(D) None of these
Answer: None of these
3. If f(x) = 
then
(A) f(a) = 0
(B) f(b) = 0
(C) f(0) = 0
(D) f(1) = 0
Answer: f(0) = 0
4. There are two values of a which makes determinant Δ = 
= 86, then sum of these number is
(A) 4
(B) 5
(C) -4
(D) 9
Answer: -4
5. 
(A) (a + b)²
(B) (a + b + c + d)²
(C) (a² + b² – c² – d²)
(D) a² + b² + c² + a²
Answer: a² + b² + c² + a²
6. The value of 
is independent of
(A) α
(B) β
(C) α.β
(D) None of these
Answer: α
7. If 
x is equal to
(A) 6
(B) ±6
(C) -1
(D) -6
Answer: ±6
8. The value of the determinant 
(A) 124
(B) 125
(C) 134
(D) 144
Answer: 134
9. 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)
Answer: (α – β)(β – γ) (γ – α) (α + β + γ)
10.
is equal to
(A) 6xyz
(B) xyz
(C) 4xyz
(D) xy + yz + zx
Answer: 4xyz
11. The maximum value of 
is (θ is real number)
(A) 1/2
(B) √3/2
(C) 2√3/4
(D) √2
Answer: 1/2
12. If x, y, z are all different from zero and 
= 0, then value of x-1+ y-1 + z-1 is
(A) xyz
(B) x-1y-1z-1
(C) -x – y – z
(D) -1
Answer: -1
13. If A, B and C are angles of a triangle, then the determinant 
(A) 0
(B) -1
(C) 1
(D) None of these
Answer: 0
14. Evaluate the determinant Δ = 
(A) 15/2
(B) 12
(C) 14/3
(D) 6
Answer: 15/2
15. A = 
|A³| = 125 then α =
(A) ±3
(B) ±2
(C) ±5
(D) 0
Answer: ±3
16. If w is a non-real root of the equation x² – 1 = 0. Then 
(A) 0
(B) 1
(C) ω
(D) ω²
Answer: 0
17. 
is equal to
(A) abc
(B) ab + bc + ca
(C) 0
(D) (a – b)(b – c)(c – a)
Answer: 0
18. The value of determinant 
(A) a³ + b³ + c ³
(B) 3bc
(C) a³ + b³ + c³ – 3abc
(D) None of these
Answer: a³ + b³ + c³ – 3abc
19. If A = 
then A-1 exists if
(A) λ = 2
(B) λ ≠ 2
(C) λ ≠ -2
(D) None of these
Answer: None of these
20. 
(A) 0
(B) 1
(C) 2
(D) 3
Answer: 1
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