If 
denotes the greatest integer 
, then the system of linear equations
have infinitely many solutions if 
and has a unique solution if 
has a unique solution if 
has a unique solution if 
and have infinitely many solution if 
have infinitely many solution if 
Text Solution
Verified by ExpertsA
JEE Main 2019
According to the question, there are two cases.
Case 1: 
In this interval, 
and 
Then the system of equations will be,
and 
Which have infinitely many solutions.
Case 2: 
In this interval, 
and 
Then the system of equations will be,
and 
Clearly, 
and 
which has unique solution.
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