NCERT Solutions for class 12 Maths | Chapter 4 - Determinants

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Questions
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 Class 12 Determinants
A 3x² + 4
B x(5x + 8)
C 3x + 4x²
D x(3x + 4)

Answer:x(5x + 8)
4 If Class 12 Determinants then k =
A 0
B 1
C 2
D 3

Answer:2
5 Class 12 Determinants
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 Class 12 Determinants

then x2007 + x-2007 =

A 1
B -1
C -2
D 2

Answer:-2
7 Class 12 Determinants
A 2
B -2
C 4
D -4

Answer:-2
8 If a, b, c are cube roots of unity, then Class 12 Determinants
A 0
B e
C e²
D e³

Answer:0
9 Class 12 Maths Determinants
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

Class 12 Maths Determinants is equal to

A 1
B -1
C 0
D None of these

Answer:0
11 If Δ =Class 12 Maths Determinants then A =
A 0
B 10
C 12
D 60

Answer:0
12 Class 12 Maths Determinants
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 Class 12 Maths Determinants then the value of x is
A ±2
B ±1/3
C ±√3
D ± (0.5)

Answer:±√3
14 The determinant Class 12 Maths Determinantsequals
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) = Class 12 Maths Determinants 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 = Class 12 Maths Determinants= 86, then sum of these number is

A 4
B 5
C -4
D 9

Answer:-4
17 Class 12 Maths Determinants
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

Class 12 Maths Determinants

is independent of

A α
B β
C α.β
D None of these

Answer:α
19 If Class 12 Maths Determinantsx is equal to
A 6
B ±6
C -1
D -6

Answer:±6
20 The value of the determinant

Class 12 Maths Determinants

A 124
B 125
C 134
D 144

Answer:134

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