The set of values of `'a'` for which `|sin 2x|-|x| -a = 0` does not have solution is given by

The set of values of x for which x^(2)-|x+2|+x>0 is

The set of values of a for which the equation Sin^4 x + Cos^4 x = a has a solution is

The set of values of a for which the equation Sin^4 x + Cos^4 x = a has a solution is

The set of all values of alpha for which x^(2)-9+|x+sin alpha|<0 has a solution is

The set of values of a for which the equation sin^(4)x+cos^(4)x=a has a solution is

The set of values of 'a' for which the equation "sin" x ("sin"x +"cos" x) = a has real solutions, is

The set of values of 'a' for which the equation "sin" x ("sin"x +"cos" x) = a has real solutions, is

Let f(x)=x^(2)+kx;k is a real number.The set of values of k for which the equation f(x)=0 and f(f(x))=0 have same real solution set.

The true set of valued of 'K' for which sin ^(-1)((1)/(1+sin ^(2)x)) = (kpi)/(6) may have a solution is :

The true set of valued of 'K' for which sin ^(-1)((1)/(1+sin ^(2)x)) = (kpi)/(6) may have a solution is :