Objective Type Question and Answers On Class 12 Maths Chapter 4 Determinants

Questions

1 The value of the determinant Class 12 Maths Determinants

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)

View Answer

Answer:(α – β)(β – γ) (γ – α) (α + β + γ)

is equal to

A 6xyz

B xyz

C 4xyz

D xy + yz + zx

View Answer

Answer:4xyz

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3 The maximum value of Class 12 Maths Determinants

is (θ is real number)

A 1/2

B √3/2

C 2√3/4

D √2

View Answer

Answer:1/2

4 If x, y, z are all different from zero and

Class 12 Maths Determinants = 0, then value of x^-1 + y^-1 + z^-1 is

A xyz

B x^-1y^-1z^-1

C -x – y – z

D -1

View Answer

Answer:-1

5 If A, B and C are angles of a triangle, then the determinant

Class 12 Maths Determinants

A 0

B -1

C 1

D None of these

View Answer

Answer:0

6 Evaluate the determinant Δ = Class 12 Maths Determinants

A 15/2

B 12

C 14/3

D 6

View Answer

Answer:15/2

7 A = Class 12 Maths Determinants

|A³| = 125 then α =

A ±3

B ±2

C ±5

D 0

View Answer

Answer:±3

8 If w is a non-real root of the equation x² – 1 = 0. then

Class 12 Maths Determinants

A 0

B 1

C ω

D ω²

View Answer

Answer:0

is equal to

A abc

B ab + bc + ca

C 0

D (a – b)(b – c)(c – a)

View Answer

Answer:0

10 The value of determinant Class 12 Maths Determinants

A a³ + b³ + c ³

B 3bc

C a³ + b³ + c³ – 3abc

D None of these

View Answer

Answer:a³ + b³ + c³ – 3abc

11 If A = Class 12 Maths Determinants

then A-1 exists if

A λ = 2

B λ ≠ 2

C λ ≠ -2

D None of these

View Answer

Answer:None of these

A 0

B 1

C 2

D 3

View Answer

Answer:1

13 If Class 12 Maths Determinants

then the value of x is

A 3

B ±3

C ±6

D 6

View Answer

Answer:±6

14 If a ≠ 0 and Class 12 Maths Determinants

= 0 then a =

A a = -3

B a = 0

C a = 1

D a = 3

View Answer

Answer:a = -3

15 The number of distinct real roots of Class 12 Maths Determinants

= 0 in the interval –π/4 ≤ x ≤ π/4 is

A 0

B 2

C 1

D 3

View Answer

Answer:1

16 The value of the determinant Class 12 Maths Determinants

A 9x² (x + y)

B 9y² (x + y)

C 3y² (x + y)

D 7x² (x + y)

View Answer

Answer:9y² (x + y)

17 If abc ≠ 0 and Class 12 Maths Determinants

= 0 then 1/a + 1/b + 1/c =

A 1

B 2

C -1

D -3

View Answer

Answer:-1

18 Let Δ = Class 12 Maths Determinants

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)

View Answer

Answer:xyz (x – y)(y – z) (z – x)

19 If 7 and 2 are two roots of the equation Class 12 Maths Determinants

then the third root is

A -9

B 14

C 12

D None of these

View Answer

Answer:-9

20 Let f(t) = Class 12 Maths Determinants

is equal to

A 0

B -1

C 2

D 3

View Answer

Answer:0

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