If `a/k,a,` ak are the roots of `x^3-p x^2+q x-r=0` then a =

If (a)/(k),a, ak are the roots of x^(3)-px^(2)+qx-r=0 then a=

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 p and q are the roots of the equation x^2-p x+q=0 , then

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 a, b are the roots of equation x^(2)-3x + p =0 and c, d are the roots of x^(2) - 12x + q = 0 and a, b, c, d are in G.P., then prove that : p : q =1 : 16

If p and q are the roots of the equation x^(2)+p x+q=0 then

Let alpha,beta be the roots of the equation x^2-p x+r=0 and alpha/2,2beta be the roots of the equation x^2-q x+r=0 , the value of r is

If p and q are the roots of the equation x^2 - 15x + r = 0 and. p - q = 1 , then what is the value of r?

If the roots of ax^3 + bx^2 + cx +d=0 are in G.P then the roots of ak^3 x^3 +bk^2 x^2 + ck x+d=0 are in

If alpha,beta are roots of x^(2)-px+q=0 and alpha-2,beta+2 are roots of x^(2)-px+r=0 then prove that 16q+(r+4-q)^(2)=4p^(2)