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JEE Main Math Class 12 Determinants Part 2 Questions
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© examsnet.com
Question : 7
Total: 117
If
α
≠
a
,
β
≠
b
,
γ
≠
c
and
|
α
b
c
a
β
c
a
b
γ
|
=
0
, then
a
a
−
a
+
b
β
−
b
+
γ
γ
−
c
is equal to :
[8 Apr 2024 Shift 2]
2
3
0
1
Validate
Solution:
👈: Video Solution
R
1
⟶
R
1
−
R
2
,
R
2
⟶
R
2
−
R
3
|
α
−
a
b
−
β
0
0
β
−
b
c
−
γ
a
b
γ
|
=
0
(
α
−
a
)
(
γ
(
β
−
b
)
−
b
(
c
−
γ
)
)
−
(
b
−
β
)
(
−
a
(
c
−
γ
)
)
=
0
γ
(
α
−
a
)
(
β
−
b
)
−
b
(
α
−
a
)
(
c
−
γ
)
+
a
(
b
−
β
)
(
c
−
γ
)
γ
γ
−
c
+
b
β
−
b
+
a
α
−
a
=
0
© examsnet.com
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