Linear Equations Truth Analysis (Jee Mains) | ExamDuo
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Determinants
Medium
Linear Equations Truth Analysis
For the system of linear equations
x
+
y
+
z
=
6
α
x
+
β
y
+
7
z
=
3
x
+
2
y
+
3
z
=
14
which of the following is NOT true?
Ask about this question
SELECT ONE OPTION
A
If
α
=
β
=
7
, then the system has no solution
B
If
α
=
β
and
α
≠
7
then the system has a unique solution.
C
There is a unique point
(
α
,
β
)
on the line
x
+
2
y
+
18
=
0
for which the system has infinitely many solutions
D
For every point
(
α
,
β
)
≠
(
7
,
7
)
on the line
x
−
2
y
+
7
=
0
, the system has infinitely many solutions.
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