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)
Comparing equation
with
and
with
, we get
We have
because
Therefore, lines have unique solution which means they intersect at one point.
(ii)
Comparing equation
with
and
with
, we get
and
and
We have
Because
Therefore, lines are coincident.
(iii)
Comparing equation
with
and
with
, we get
and
and
We have
Because
It means lines are parallel to each other.
Leave a Reply