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NDA Math Determinants
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© examsnet.com
Question : 11
Total: 68
If
x
=
a
b
−
c
,
y
=
b
c
−
a
,
z
=
c
a
−
b
then what is the value of the following?
|
1
−
x
x
1
1
−
y
1
z
1
|
[NDA-II 2021]
0
1
a
b
c
a
b
+
b
c
+
c
a
Validate
Solution:
👈: Video Solution
Given,
x
=
a
b
−
c
,
y
=
b
c
−
a
,
z
=
c
a
−
b
|
1
−
x
x
1
1
−
y
1
z
1
|
R
2
→
R
2
−
R
1
and
R
3
→
R
3
−
R
1
=
|
1
−
x
x
0
1
+
x
−
y
−
x
0
z
+
x
1
−
x
|
=
(
1
+
x
)
(
1
−
x
)
−
(
−
y
−
x
)
(
z
+
x
)
=
1
−
x
2
+
x
2
+
(
y
+
z
)
x
+
y
z
=
1
+
(
b
c
−
a
+
c
a
−
b
)
(
a
b
−
c
)
+
(
b
c
−
a
×
c
a
−
b
)
=
1
+
(
a
b
−
b
2
+
c
2
−
a
c
(
a
−
b
)
(
c
−
a
)
)
(
a
b
−
c
)
+
(
b
c
(
c
−
a
)
(
a
−
b
)
)
=
(
a
−
b
)
(
c
−
a
)
+
a
2
−
a
b
−
a
c
+
b
c
(
a
−
b
)
(
c
−
a
)
=
a
c
−
a
2
−
b
c
+
a
b
+
a
2
−
a
b
−
a
c
+
b
c
(
a
−
b
)
(
c
−
a
)
=
0
© examsnet.com
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