Determinants Test

Result

Determinants Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

The value of

A
0

B
1

C
-1

D
None of these
Question 2
1 / -0

The value of the determinant is

A
3 - x + y

B
(1 - x) (1 + y)

C
xy

D
- xy
Question 3
1 / -0

The value of is

A
0

B
1

C
- 1

D
None of these
Question 4
1 / -0

If A = , then

A
A = 0

B
A is an odd function of .

C
A = 0 for

D
A is independent of .
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 p + q + r = 0 = a + b + c, then the value of the determinant is

A
0

B
pa + qb + rc

C
1

D
None of these
Question 7
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

The value of the determinant is

A

B
- 1

C
0

D
None of these
Question 8
1 / -0

Directions: The following question has four choices, out of which ONLY ONE is correct.

Suppose , , R are such that sin , sin , sin 0 and . Then, cannot exceed

A
1

B
0

C

D
None of these
Question 9
1 / -0

What is the value of K in the following expression = k?

A
1

B
2

C
3

D
4
Question 10
1 / -0

=

A
1

B
0

C
3

D
a + b + c
Question 11
1 / -0

Directions: The following question has four choices out of which ONLY ONE is correct.

If a₁, a₂, a₃, ............., a_n, ........ are in GP, then the value of the determinant

is

A
0

B
1

C
2

D
- 2
Question 12
1 / -0

The roots of the determinant equation (in x)= 0

A
x = a, b

B
x = -a, -b

C
x = -a, b

D
x = a, -b
Question 13
1 / -0

Suppose D = and D'= , then

A
D'= D

B
D^'= D (1- pqr)

C
D'= D (1 + p + q + r)

D
D^'= D (1 + pqr)
Question 14
1 / -0

If = 0, then the values of x are

A
0, 2/3

B
2/3, 11/3

C
1/2, 1

D
11/3, 1
Question 15
1 / -0

What is the value of the determinant ?

A
0

B
1

C
2

D
3abc