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NCERT Solutions for class 12 Maths | Chapter 4 - Determinants

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Free download in PDF Class 12 Maths Chapter 4 Determinants Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) 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)
(2) is equal to
[A] 6xyz
[B] xyz
[C] 4xyz
[D] xy + yz + zx
Answer: 4xyz

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(3) The maximum value of is (θ is real number)
[A] 1/2
[B] √3/2
[C] 2√3/4
[D] √2
Answer: 1/2
(4) 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
(5) 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
(6) Evaluate the determinant Δ =
[A] 15/2
[B] 12
[C] 14/3
[D] 6
Answer: 15/2
(7) A = |A³| = 125 then α =
[A] ±3
[B] ±2
[C] ±5
[D] 0
Answer: ±3
(8) If w is a non-real root of the equation x² – 1 = 0. then

[A] 0
[B] 1
[C] ω
[D] ω²
Answer: 0
(9) is equal to
[A] abc
[B] ab + bc + ca
[C] 0
[D] (a – b)(b – c)(c – a)
Answer: 0
(10) 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
(11) If A = then A-1 exists if
[A] λ = 2
[B] λ ≠ 2
[C] λ ≠ -2
[D] None of these
Answer: None of these
(12)
[A] 0
[B] 1
[C] 2
[D] 3
Answer: 1
(13) If then the value of x is
[A] 3
[B] ±3
[C] ±6
[D] 6
Answer: ±6
(14) If a ≠ 0 and = 0 then a =
[A] a = -3
[B] a = 0
[C] a = 1
[D] a = 3
Answer: a = -3
(15) The number of distinct real roots of = 0 in the interval –π/4 ≤ x ≤ π/4 is
[A] 0
[B] 2
[C] 1
[D] 3
Answer: 1
(16) The value of the determinant is
[A] 9x² (x + y)
[B] 9y² (x + y)
[C] 3y² (x + y)
[D] 7x² (x + y)
Answer: 9y² (x + y)
(17) If abc ≠ 0 and = 0 then 1/a + 1/b + 1/c =
[A] 1
[B] 2
[C] -1
[D] -3
Answer: -1
(18) 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)
Answer: xyz (x – y)(y – z) (z – x)
(19) If 7 and 2 are two roots of the equation then the third root is
[A] -9
[B] 14
[C] 12
[D] None of these
Answer: -9
(20) Let f(t) = is equal to
[A] 0
[B] -1
[C] 2
[D] 3
Answer: 0

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