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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 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
Answer: 3
(2) If A and B are invertible matrices, then which of the following is not correct?
[A] adj A = |A|.A-1
[B] det (a)-1 = [det (a)]-1
[C] (AB)-1 = B-1A-1
[D] (A + B)-1 = B-1 + A-1
Answer: (A + B)-1 = B-1 + A-1

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(3)
[A] 3x² + 4
[B] x(5x + 8)
[C] 3x + 4x²
[D] x(3x + 4)
Answer: x(5x + 8)
(4) If then k =
[A] 0
[B] 1
[C] 2
[D] 3
Answer: 2
(5)
[A] (x³ + y³)²
[B] (x² + y²)³
[C] -(x² + y²)³
[D] -(x³ + y³)²
Answer: -(x³ + y³)²
(6) If x is a complex root of the equation

then x2007 + x-2007 =

[A] 1
[B] -1
[C] -2
[D] 2
Answer: -2
(7)
[A] 2
[B] -2
[C] 4
[D] -4
Answer: -2
(8) If a, b, c are cube roots of unity, then
[A] 0
[B] e
[C] e²
[D] e³
Answer: 0
(9)
[A] 0
[B] 1
[C] 2
[D] 3
Answer: 0
(10) If x > 0 and x ≠ 1. y > 0. and y ≠ 1, z > 0 and z ≠ 1 then

is equal to

[A] 1
[B] -1
[C] 0
[D] None of these
Answer: 0
(11) If Δ = then A =
[A] 0
[B] 10
[C] 12
[D] 60
Answer: 0
(12)
[A] (x – y) (y + z)(z + x)
[B] (x + y) (y – z)(z – x)
[C] (x – y) (y – z)(z + x)
[D] (x – y) (y – z) (z – x)
Answer: (x – y) (y – z) (z – x)
(13) If then the value of x is
[A] ±2
[B] ±1/3
[C] ±√3
[D] ± (0.5)
Answer: ±√3
(14) 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
(15) If f(x) = then
[A] f(a) = 0
[B] f(b) = 0
[C] f(0) = 0
[D] f(1) = 0
Answer: f(0) = 0
(16) 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
(17)
[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
(18) The value of

is independent of

[A] α
[B] β
[C] α.β
[D] None of these
Answer: α
(19) If x is equal to
[A] 6
[B] ±6
[C] -1
[D] -6
Answer: ±6
(20) The value of the determinant

[A] 124
[B] 125
[C] 134
[D] 144
Answer: 134

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