Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
then which of the following is correct:
A
has only one integer in its range B
Range of 
is 
is C
Range of 
is 
is D
Range of 
is 
is
Text Solution
Verified by ExpertsThe correct answer is:
B
Simplify the Function
Substitute 
, where 
and 
(since 
).
Determine the Range
Since 
and 
:
The argument of the inverse tangent is 
.
Dividing the domain of 
by 2 gives: 
and 
.
Verify the Options
Range: 
.
Integer Check: The only integer in this range is 
, but 
is excluded. Therefore, there are no integers in the range, making incorrect.
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