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NDA Math Determinants
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© examsnet.com
Question : 8
Total: 68
If
∆
=
|
a
b
c
d
e
f
g
h
i
|
then what is
|
3
d
+
5
g
4
a
+
7
g
6
g
3
e
+
5
h
4
b
+
7
h
6
h
3
f
+
5
i
4
c
+
7
i
6
i
|
equal to?
[NDA-II 2021]
∆
7
∆
72
∆
−
72
∆
Validate
Solution:
👈: Video Solution
Given,
∆
=
|
a
b
c
d
e
f
g
h
i
|
=
|
3
d
+
5
g
4
a
+
7
g
6
g
3
e
+
5
h
4
b
+
7
h
6
h
3
f
+
5
i
4
c
+
7
i
6
i
|
=
6
|
3
d
+
5
g
4
a
+
7
g
g
3
e
+
5
h
4
b
+
7
h
h
3
f
+
5
i
4
c
+
7
i
i
|
B
y
1
→
C
1
−
5
C
3
,
C
2
→
C
2
−
7
C
3
=
6
|
3
d
4
a
g
3
e
4
b
h
3
f
4
c
i
|
=
6
×
3
×
4
|
d
a
g
e
b
h
f
c
i
|
By
2
↔
C
1
=
−
72
|
a
d
g
b
e
h
c
f
i
|
By
R
↔
C
=
−
72
|
a
b
c
d
e
f
g
h
i
|
=
−
72
∆
Hence, option (d) is correct.
© examsnet.com
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