Determinants Test

Result

Determinants Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

The value of is equal to

A
0

B
679

C
779

D
1
Question 2
1 / -0

If a = b=c=0, then the determinant is divisible by

A
x³

B
x²

C
(a²+ b²+ c²)

D
none of these
Question 3
1 / -0

If D = for x, y not equal to zero, then D is

A
divisible by neither x nor y

B
divisible by both x and y

C
divisible by x but not y

D
divisible by y but not x
Question 4
1 / -0

what is the value of ?

A
1

B
0

C
-1

D
67
Question 5
1 / -0

If = , where a = i, b = and c = , then is equal to

A
i

B
–

C

D
– i
Question 6
1 / -0

If = 0, then x is equal to

A
0, 29

B
a, 2a

C
0, 3a

D
None of these
Question 7
1 / -0

If = x + iy, then

A
x = 3, y = 1

B
x = 0, y = 0

C
x = 0, y = 3

D
x = 1, y = 3
Question 8
1 / -0

For positive numbers x, y, z, the numerical value of is

A
0

B
1

C
log x + log y + log z

D
log (x + y + z)
Question 9
1 / -0

If = 0, then a, b, c are in:

A
A.P

B
G.P

C
H.P

D
None of these
Question 10
1 / -0

The value of

A
4a²b²c²

B
16a²b²c²

C
8a²b²c²

D
10a²b²c²
Question 11
1 / -0

If a² + b²+ c² = 0 then value of

A
4a²b²c²

B
a²b²c²

C
4abc

D
16a²b²c²
Question 12
1 / -0

If a₁, a₂, a₃,.........,a_n,....... are in GP, then the determinant is equal to

A
2

B
4

C
0

D
1
Question 13
1 / -0

The determinant = 0, if a, b, c are in:

A
A.P

B
G.P

C
H.P

D
None of these
Question 14
1 / -0

If = , then the two triangles with vertices (x₁, y₁), (x₂, y₂), (x₃, y₃) and (a₁, b₁), (a₂, b₂), (a₃, b₃) must be

A
similar

B
congruent

C
never congruent

D
None of these
Question 15
1 / -0

If c = 2 cos, then the value of the determinant is

A

B

C
sin 8

D
None of these