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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
(a) parallel
(b) always coincident
(c) always intersecting
(d) intersecting or coincident
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Solution
The correct option is (a).
If a pair of linear equations in two variables is inconsistent, then no solution exists as they have no common point. And, since there is no common solution, their graph lines do not intersect. Hence, they are parallel.
If a pair of linear equations in two variables is inconsistent, then no solution exists as they have no common point. And, since there is no common solution, their graph lines do not intersect. Hence, they are parallel.
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