Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Prove that the roots of the equation 
are real for any 
if 
.
Text Solution
Verified by ExpertsThe correct answer is:
D
Sol. The given equation is 
Here discriminant, i.e., 
The given equation has real roots if 
for all values of 
. To prove this, we show that 
cannot have real roots (since 
). The discriminant of 
is given by
Since 
i.e. 
and 
Hence discriminant D < 0
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