If a `in` R and the equation `(a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0` (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

If ainR and the equation -3(x-[x])^(2)+2(x-[x])+a^(2)=0 , (where [x] denotes the greatest integer le x) has no integral solution, then all possible values of a lie in the interval :

If a in R and the equation -3(x-[x]^2)+2(x-[x])+a^2=0 (where [x] denotes the greatest integer le x) has no integral solution,then all possible values of a lie in the interval :

If ain RR and the equation -3(x-[x])^2+2(x-[x])+a^2=0 (where [x] denotes the greatest integer lex) has no integral solution, then all possible values of a lie in the interval____

if a in R and equation (a-2)(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x] represent G.I.F) has no integral solution and has exactly one solution in the interval (2,3) then a lies in (alpha,beta) the value of alpha^(2)+3beta^(2) is

if a in R and equation (a-2)(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x] represent G.I.F) has no integral solution and has exactly one solution in the interval (12,13) then a lies in (alpha,beta) the value of alpha^(2)+3beta^(2) is

If [log_(2)((x)/([x]))]>=0, where [.] denote the greatest integer function,then

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