If `x^2+x+1-|[x]|=0,` then (where [.] is greatest integer function)-

The range of the function y=[x^2]-[x]^2 x in [0,2] (where [] denotes the greatest integer function), is

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

If [sin x]+[sqrt(2) cos x]=-3 , x in [0,2pi] , (where ,[.] denotes the greatest integer function ), then

If f(x)=[2x], where [.] denotes the greatest integer function,then

If [log_2 (x/[[x]))]>=0 . where [.] denotes the greatest integer function, then :

The range of the function y=[x^(2)]-[x]^(2)x in[0,2] (where [] denotes the greatest integer function),is

For a function f(x)=(2(x^(2)+1))/([x]) (where [.] denotes the greatest integer function), if 1lexlt4 . Then