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NDA Math Determinants
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© examsnet.com
Question : 24
Total: 68
If
x
+
a
+
b
+
c
=
0
, then what is the value of
|
x
+
a
b
c
a
x
+
b
c
a
b
x
+
c
|
?
[NDA II 2019]
0
(
a
+
b
+
c
)
2
a
2
+
b
2
+
c
2
a
+
b
+
c
–
2
Validate
Solution:
Given :
x
+
a
+
b
+
c
=
0
Let
Δ
=
|
x
+
a
b
c
a
x
+
b
c
a
b
x
+
c
|
?
Applying
C
1
→
C
1
+
C
2
+
C
3
|
x
+
a
+
b
+
c
b
c
x
+
a
+
b
+
c
x
+
b
c
x
+
a
+
b
+
c
b
x
+
c
|
Taking common
(
x
+
a
+
b
+
c
)
from
C
1
x
+
a
+
b
+
c
|
1
b
c
1
x
+
b
c
1
b
x
+
c
|
=
0
⋅
|
1
b
c
1
x
+
b
c
1
b
x
+
c
|
=
0
© examsnet.com
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