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

if alpha,beta be the roots of the equation ax^(2)+bx+c=0 then the roots of a(2x+1)^(2)+b(2x+1)(x-1)+c(x-1)^(2)=0 are (i) (2 alpha+1)/(alpha-1),(2 beta+1)/(beta-1) (ii) (2 alpha-1)/(alpha+1),(2 beta-1)/(beta+1) (iii) (alpha+1)/(alpha-2),(beta+1)/(beta-2)( iv) (2 alpha+3)/(alpha-1),(2 beta+3)/(beta-1)

If alpha& beta are the roots of the quadratic equation ax^(2)+bx+c=0, then the quadratic equation,ax^(2)-bx(x-1)+c(x-1)^(2)=0 has roots: (alpha)/(1-alpha),(beta)/(1-beta)( b) alpha-1,beta-1(alpha)/(alpha+1),(beta)/(beta+1) (d) (1-alpha)/(alpha),(1-beta)/(beta)

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 roots of the equation 4x^(2)+3x+7=0, then (1)/(alpha)+(1)/(beta)=

If the roots of the equation ax^(2)-bx+c=0 are alpha,beta, then the roots of the equation b^(2)cx^(2)-ab^(2)x+a^(3)=0 are (1)/(alpha^(3)+alpha beta),(1)/(beta^(3)+alpha beta) b.(1)/(alpha^(2)+alpha beta),(1)/(beta^(2)+alpha beta) c.(1)/(alpha^(4)+alpha beta),(1)/(beta^(4)+alpha beta) d.none of these

If alpha and beta are roots of the equation x^(2)+px+2=0 and (1)/(alpha)and (1)/(beta) are the roots of the equation 2x^(2)+2qx+1=0 , then (alpha-(1)/(alpha))(beta-(1)/(beta))(alpha+(1)/(beta))(beta+(1)/(alpha)) is equal to :

If alpha,beta are the roots of the equation x^(2)-3x+1=0, then the equation with roots (1)/(alpha-2),(1)/(beta-2) will be