suppose `x_1,x_2` be the roots of `ax^2 + bx + c = 0` and `x_3, x_4` be the roots of `px^2 + qx + r = 0.` If `x_1, x_2, x_3, x_4` are in `G.P.,` then its common ratio is

If x_(1),x_(2) are the roots of ax^(2)+bx+c=0 and x_(1)+d,x_(2)+d are the roots of px_(2)+qx+r=0, where d!=0, then

Let x_1 , x_2 , be the roots of the equation x^2 - 3x +p=0 and let x_3 , x_4 be the roots of the equation x^2 - 12 x + q =0 if the numbers x_1 , x_2 , x_4 ( in order ) form an increasing G.P then

Let x_1,x_2 be the roots of the equation x^2-3x+A=0 and x_3,x_4 be those of equation x^2-12x+B=0 and x_1,x_2,x_3,x_4 form an increasing G.P. find A and B.

Let x_1,x_2 be the roots of the equation x^2-3x+A=0 and x_3,x_4 be those of equation x^2-12x+B=0 and x_1,x_2,x_3,x_4 form an increasing G.P. find A and B.

suppose x1,x2 are the roots of the equation ax^2+bx+c=0 and x3 and x4 are the roots of the equation px^2+qx+r=0 If a, b, c are in G.P. as well as x_1, x_2, x_3, x_4 are in G.P., then p, q, r are in (i) A.P (ii)G.P (iii)H.P (iv)A.G.P

The roots of ax^(2) - bx + 2x = 0 are in the ratio of 2 : 3 , then "____" .

x_1 and x_3 are the roots of the equation Ax ^2 - 4x +1=0 and x_2 and x_4 =0 are the roots of the requation Bx^2 - 6x + 1=0 if x_1 , x_2 , x_3 ,x_4 form a H.P , then (A,B) =

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

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