MCQ On Class 12 Maths Chapter 4 Determinants

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

View Answer

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

View Answer

Answer:(A + B)^-1 = B-1 + A^-1

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A 3x² + 4

B x(5x + 8)

C 3x + 4x²

D x(3x + 4)

View Answer

Answer:x(5x + 8)

4 If Class 12 Determinants

then k =

A 0

B 1

C 2

D 3

View Answer

Answer:2

A (x³ + y³)²

B (x² + y²)³

C -(x² + y²)³

D -(x³ + y³)²

View Answer

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

View Answer

Answer:-2

A 2

B -2

C 4

D -4

View Answer

Answer:-2

8 If a, b, c are cube roots of unity, then Class 12 Determinants

A 0

B e

C e²

D e³

View Answer

Answer:0

A 0

B 1

C 2

D 3

View Answer

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

View Answer

Answer:0

11 If Δ = Class 12 Maths Determinants

then A =

A 0

B 10

C 12

D 60

View Answer

Answer:0

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)

View Answer

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)

View Answer

Answer:±√3

14 The determinant Class 12 Maths Determinants

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

View Answer

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

View Answer

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

View Answer

Answer:-4

A (a + b)²

B (a + b + c + d)²

C (a² + b² – c² – d²)

D a² + b² + c² + a²

View Answer

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

View Answer

Answer:α

19 If Class 12 Maths Determinants

x is equal to

A 6

B ±6

C -1

D -6

View Answer

Answer:±6

20 The value of the determinant

Class 12 Maths Determinants

A 124

B 125

C 134

D 144

View Answer

Answer:134

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