If `alpha,beta` are the roots of the quadratic equation ` a x^2 + bx + c =0` then which of the following expressions `alpha,beta` will denote the symmetric functions of roots. Give proper reasoning.

If alpha,beta are the roots of the quadratic equation ax^(2)+bx+c=0 then alpha beta =

If alpha,beta are the roots of the quadratic equation ax^(2)+bx=c=0, then which of the following expression will be the symmetric function of roots a *log((alpha)/(beta))| b.alpha^(2)beta^(5)+beta^(2)alpha^(5) c.tan(alpha-beta) d.(log((1)/(alpha)))^(2)+(log beta)^(2)

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

If alpha, beta are the roots of the quadratic equation x^2 + bx - c = 0 , the equation whose roots are b and c , is

If alpha and beta are the roots of the equation ax^(2) + bx + c = 0 , then what is the value of the expression (alpha + 1)(beta + 1) ?

If alpha,beta are the roots of the quadratic equation x^(2)+bx-c=0, the equation whose roots are b and c, is

If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha/beta + beta/alpha

If alpha and beta are the roots of the quadratic equation x^2-3x-2=0 , then alpha/beta+beta/alpha=