If the roots of the equation `a x^2-b x+c=0a r ealpha,beta,` then the roots of the equation `b^2 c x^2-a b^2x+a^3=0` are `1/(alpha^3+alphabeta),1/(beta^3+alphabeta)` b. `1/(alpha^2+alphabeta),1/(beta^2+alphabeta)` c. `1/(alpha^4+alphabeta),1/(beta^4+alphabeta)` d. none of these

If alpha and beta are roots of the equation ax^(2)+bx+c=0, then the roots of the equation -b(2x+1)(x-3)+c(x-3)^(2)=0a(2x+1)^(2)-b(2x+1)(x-3)+c(x-3)^(2)=0 are (2 alpha+1)/(alpha-3),(2 beta+1)/(beta-3) b.(3 alpha+1)/(alpha-2),(3 beta+1)/(beta-2)c(2 alpha-1)/(alpha-2),(2 beta+1)/(beta-2)d. none of these

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alpha and beta are the of the equation x^(2) + 3x - 2 = 0 then alpha^(2)beta + alphabeta^(2) =

Consider the equation 3x^2 +4x - 5 = 0 , if alpha,beta are the roots, then 1/alpha + 1/beta =

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=