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JEE Main Math Class 12 Determinants Part 2 Questions
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© examsnet.com
Question : 3
Total: 117
The values of
m
,
n
, for which the system of equations
x
+
y
+
z
=
4
,
2
x
+
5
y
+
5
z
=
17
x
+
2
y
+
m
z
=
n
has infinitely many solutions, satisfy the equation :
[5 Apr 2024 Shift 2]
m
2
+
n
2
−
m
−
n
=
46
m
2
+
n
2
+
m
+
n
=
64
m
2
+
n
2
+
m
n
=
68
m
2
+
n
2
−
m
n
=
39
Validate
Solution:
👈: Video Solution
D
=
|
1
1
1
2
5
5
1
2
m
|
=
0
⇒
m
=
2
D
3
=
|
1
1
4
2
5
17
1
2
n
|
=
0
⇒
n
=
7
© examsnet.com
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