Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The number of solution of the equation
is where [.] denotes the greatest integers function
Text Solution
Verified by ExpertsThe correct answer is:
B
The key is that the equation is

So 
Since
exists, we must have

Now use the principal value property:

(1) 
Then 
For
.

giving
, which is not in
.
But at
,

so it must be checked separately.
(2) 
Then

This gives
.
Among these,
and
are the relevant principal solutions, and both satisfy the original equation.
Hence the number of solutions is 
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