TOP 100+ Determinants Class 12 MCQ And Answers

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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