The set of real values of a for which the equation 
has its roots greater than 
is
Text Solution
Verified by ExpertsD
Let 
Clearly, 
represents a parabola opening upward. If roots of 
are greater than 
, then we must have
(i) Discriminant 
(ii) ' 
' lies outside the roots i.e. 
(iii) abscissa of the vertex of the parabola is on the right side of point ( 
).
Now,
Discriminant 
which is true for all 
.
, which is not possible for any 
.
Hence, there is no value of 
for which the roots are greater than 
.
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