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Determinants
- Online Test
Determinants
TEST : 2
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q1.
A.
a+b+c
B.
1+a+b+c
C.
abc
D.
none of these.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q2.
The determinant
A.
none of these.
B.
(ab + bc + ca ) (a–b) (b–c) (c–a)
C.
abc( ab+bc +ca )
D.
abc (a–b) (b–c) (c–a)
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q3.
The value of the determinant
A.
cos2x
B.
0
C.
1
D.
sin2x
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
expanding along R
1
1
(
c
o
s
2
x
−
s
i
n
2
x
)
=
cos
2
x
.
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q4.
then det. A is equal to
A.
-1
B.
cos2x
C.
sin2x
D.
1
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q5.
The value of the determinant
A.
none of these.
B.
0
C.
1+a+b+c
D.
a+b+c
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
since C
1
And C
2
are identical
=(a+b+c)x0 =0
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q6.
A.
none of these.
B.
x = 2 or 6
C.
x = 2
D.
x = 4 or 3
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
because , the value of the determinant is zero only when , the two of its rows or column are identical., Which is possible only when Either x = 3 or x = 4 .
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q7.
A.
0
B.
2
C.
-2
D.
1
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q8.
A.
-2
B.
X + 2
C.
None of these
D.
0
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q9.
The value of determinant
A.
a
4
B.
0
C.
(x+3a) (x−a)
3
D.
none of these
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
# Determinants
# CBSE 12th Mathematics
Prepare / Learn
Q10.
is equal to
A.
0
B.
6D
C.
2D
D.
3D
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
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