Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let 
and let 
be given by 
, then
A
has three real roots if 
B
has only one real root if 
C
has three real roots if 
D
has three real roots if 
Text Solution
Verified by ExpertsThe correct answer is:
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(b, d)
Let 
and 
. Then, the number of real roots of 
is the number of points of intersection of the curves 
and 
. Clearly, these two curves intersect at three points, if 
.
So, 
has three real roots, if 
.
The two curves 
and 
intersect at exactly one point if 
or 
.
So, 
has only one real root if 
or 
.
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