Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
, then which of the following statement(s) hold(s) good?
A
The graph of 
does not lie above 
-axis
does not lie above -axis B
The non-negative difference between maximum minimum value of the function 
is 
is C
The function 
is not injective.
is not injective. D
Number of non-negative integers in the domain of 
is two.
is two.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b)
Domain of 
and 
, each is 
and that of 
and 
, each is 
∴ Domain of 
must be 
∴ Range of 
will be 
where, 
. 
. 
and 
(i) Thus, the graph of 
is a two point graph which doesn't lies above 
-axis.
(ii) 
and 
Hence, 
(iii) 
is one-one. Hence, injective.
(iv) Domain is 
∴ Number of non-negative integers in the domain of 
is one.
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