On comparing the ratios
and
find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:
(i) ![]()
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(ii) ![]()
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(iii) ![]()
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i) Comparing these equation with
= ![]()
= ![]()
We get,
= ![]()
= ![]()
Hence,
= ![]()
We find that, ![]()
Therefore, both lines intersect at one point.
ii) Comparing these equations with ,
= ![]()
= ![]()
We get,
= ![]()
= ![]()
Hence,
= ![]()
We find that,
=![]()
Therefore , both lines are coincident.
iii) Comparing these equations with,
= ![]()
= ![]()
We get,
= ![]()
= ![]()
Hence,
= ![]()
We find that,
=![]()
Therefore, both lines are parallel.