Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of roots of
, where
stands for the greatest integer function, is
Text Solution
Verified by ExpertsThe correct answer is:
C
1. Given equation is
.
There are three possibilities:

Case I: If
,


When
.
But 
is a solution.
Case II: If
, the equation is


.
So,
is a solution.
Case III: If 

Clearly, these values do not satisfy the original equation.
Thus, number of solutions 
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