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Question
If a pair of linear equations is inconsistent then their graph lines will be
(a) parallel (b) always coincident
(c) always intersecting (d) intersecting or coincident
If a pair of linear equations is inconsistent then their graph lines will be
(a) parallel (b) always coincident
(c) always intersecting (d) intersecting or coincident
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Solution
onsider the equation of the lines to be-
Let both the lines to be parallel to each other, then there exists no solution, because the lines never intersect.
Algebraically, for such a case, 
and the pair of linear equations in two variables is said to be inconsistent.
As shown in the graph above, the pair of lines
are parallel to each other. Therefore, there exists no solution for such a pair.
so option a is correct
onsider the equation of the lines to be-
Let both the lines to be parallel to each other, then there exists no solution, because the lines never intersect.
Algebraically, for such a case, and the pair of linear equations in two variables is said to be inconsistent.
As shown in the graph above, the pair of lines are parallel to each other. Therefore, there exists no solution for such a pair.
so option a is correct
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