Let `alpha` be a real number such that `0 <= alpha <= pi.` If `f(x)=cosx+cos(x+alpha)+cos(x+2alpha)` takes some constant number c for any `x in R,` then the value of `[c + alpha]` is equal to (Note : [y] denotes greatest integer less than or equal to y.)

Let p and q be real numbers such that p ne 0 , p^(3) ne q and p^(3) ne - q. if alpha and beta are non-zero complex numbers satisfying alpha + beta = -p and alpha^(3) + beta^(3) = q, then a quadratic equation having (alpha)/(beta ) and (beta)/(alpha) as its roots is :

Let p and q be real number such that p ne 0 , p^(3) ne q and p^(3) ne -q . If alpha and beta non- zero complex number satifying alpha+ beta= -p and alpha^(3) + beta^(3) =q then a quadratic equation having (alpha)/(beta) and (beta) /(alpha) as its roots is :

Q. Let p and q real number such that p!= 0 , p^2!=q and p^2!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is

Let p and q real number such that p!= 0 , p^3!=q and p^3!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is

Q. Let p and q real number such that p!= 0 , p^2!=q and p^2!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is

Let p and q real number such that p!= 0 , p^3!=q and p^3!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is

Q. Let p and q real number such that p!= 0 , p^2!=q and p^2!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is