Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Find the number of integral values of ' 
' for which the range of function 
is ( 
).
Text Solution
Verified by ExpertsThe correct answer is:
0
(0)
For the range of 
to be 
:
The discriminant of the resulting quadratic in 
must be 
for all 
, which requires the discriminant of that quadratic to be 
.
This condition leads to 
.
The only integer is 
, but 
creates a common factor ( 
) in the numerator and denominator, which excludes a value from the range. Thus, no such integer exists.
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