(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions?
Solution:
Comparing equation
with
and
with
, we get
and
and
Linear equations have infinite many solutions if
and
and
(1) and
(2)
Putting (1) in (2) we get
Putting value of b in (1), we get
Therefore,
and
(ii) For which value of k will the following pair of linear equations have no solution?
Solution:
Comparing
with
and
with
, we get
and
and
Linear equations have no solution if
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