Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Which one of the following is not true? The quadratic equation 
,
A
cannot have a real root if 
B
may not have a rational root even if 
is a perfect square
is a perfect square C
cannot have an integral root if 
, where 
, where
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
D
Let 
be the discriminant of 
. Then,
If 
, then 
. So, the equation cannot have real roots.
Thus, option is true.
If 
is a perfect square, say 
, then
Thus, roots cannot be rational.
So, option is not true.
Let 
be an integral root of the given equation. Then,
,
which is not possible.
So, the equation cannot have integral roots.
Thus, option is true.
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