The set of positive real values of the parameter 'a' for which the equation |sin2x|-|x|-a=0 does not have any real solution is
Let us first consider the case when y=|sin2x|, y=|x|+a touch each other.
If P is the point of contact, then at point P,
we have 1= 2cos2x (i.e slopes are equal)
Now P lies on y=x+a
∴ For not to touch a∈(3√−π6,∞)