Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The expression 
has always the same sign as 
if
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Let 
. Then 
. Thus the graph of 
meets 
-axis at 
.
If 
, then by hypothesis 
This means that the curve 
does not meet 
-axis.
If 
, then by hypothesis 
, which means that the curve 
is always below 
-axis and so it does not intersect with 
-axis. Thus in both cases 
does not intersect with 
-axis i.e. 
for any real 
. Hence 
i.e. 
has imaginary roots and so 
.
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