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VITEEE 2021 Solved Paper
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© examsnet.com
Question : 52
Total: 80
The equations
2
x
+
3
y
+
4
=
0
;
3
x
+
4
y
+
6
=
0
and
4
x
+
5
y
+
8
=
0
are
consistent with unique solution
inconsistent
consistent with infinitely many solutions
None of the above
Validate
Solution:
Consider first two equations :
2
x
+
3
y
=
−
4
quad
and
3
x
+
4
y
=
−
6
We have
Δ
=
|
2
3
3
4
|
=
−
1
≠
0
Δ
x
=
|
−
4
3
−
6
4
|
=
2
and
Δ
y
|
2
−
4
3
−
6
=
0
|
∴
x
=
−
2
and
y
=
0
Now this solution satisfies all the equations, so the equations are consistent with unique solution.
© examsnet.com
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