Let `p,q,r` be roots of cubic `x^(3)+2X^(2)+3x+3=0`, then

Let a,b and c be three distinct real roots of the cubic x ^(3) +2x ^(2)-4x-4=0. If the equation x ^(3) +qx ^(2)+rx+le =0 has roots 1/a, 1/b and 1/c, then the vlaue of (q+r+s) is equal to :

Let a,b and c be three distinct real roots of the cubic x ^(3) +2x ^(2)-4x-4=0. If the equation x ^(3) +qx ^(2)+rx+le =0 has roots 1/a, 1/b and 1/c, then the vlaue of (q+r+s) is equal to :

If p, q, r are the roots of the equation x^3 -3x^2 + 3x = 0 , then the value of |[qr-p^2, r^2 , q^2],[r^2,pr-q^2,p^2],[q^2,p^2,pq-r^2]|=

If alpha,beta are roots of the equation (3x+2)^(2)+p(3x+2)+q=0 then roots of x^(2)+px+q=0 are

If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, then (p , q) =

If -3,1,8 are the roots of px^(3)+qx^(2)+rx+s=0 then the roots of p(x-3)^(3)+q(x-3)^(2)+r(x-3)+s=0

If alpha,beta are the roots of the equation x^(2)+px-r=0 and (alpha)/(3),3 beta are the roots of the equation x^(2)+qx-r=0, then r equals (i)((3)/(8))(p-3q)(3p+q)(ii)((3)/(8))(3p-q)(3p+q)(iii)((3)/(64))(q-3p)(p-3p)(iv)((3)/(64))(p-q)(q-3p)

If the roots of the cubic equation x^(3) -9x^(2) +a=0 are in A.P., Then find one of roots and a