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AP EAPCET 24-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 7
Total: 160
The system of equations
2
x
+
6
y
=
−
11
,
6
x
+
20
y
−
6
z
=
−
3
,
6
y
−
18
z
=
−
1
are
Inconsistent
Consistent with unique solution
Consistent with countable infinite many solutions
Consistent with infinitely many solutions
Validate
Solution:
Given,
2
x
+
6
y
=
−
11
6
x
+
20
y
−
6
z
=
−
3
6
y
−
18
z
=
−
1
Using Cramer's rule,
D
=
|
2
6
0
6
20
−
6
0
6
−
18
|
=
2
(
20
×
(
−
18
)
−
6
×
(
−
6
)
−
6
(
6
×
(
−
18
)
−
(
−
6
)
×
0
)
=
2
(
−
360
+
36
)
−
6
(
−
108
)
=
2
(
−
360
+
36
)
−
6
(
−
108
)
=
2
(
−
324
)
+
648
=
−
648
+
648
=
0
D
1
=
|
−
11
6
0
−
3
20
−
6
−
1
6
−
18
|
=
−
11
(
−
324
)
−
6
(
54
−
6
)
=
−
3564
−
6
(
48
)
=
−
3564
−
288
=
−
3852
≠
0
D
2
=
|
2
−
11
0
6
−
3
−
6
0
−
1
−
18
|
=
2
(
54
−
6
)
+
11
(
−
108
)
=
2
(
48
)
+
(
−
1188
)
=
96
−
1188
=
−
1092
≠
0
D
3
=
|
2
6
−
11
6
20
−
3
0
6
−
1
|
=
2
(
−
20
+
18
)
−
6
(
−
6
)
−
11
(
36
)
=
−
4
+
36
−
396
=
−
364
≠
0
∵
D
=
0
,
D
1
≠
D
2
≠
D
3
≠
0
⇒ Inconsistent solution.
© examsnet.com
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