Let A,G,H be the arithmetic, geometric and harmonic means between three given no. a,b,c then the equation having a,b,c as its root is `x^3-3Ax^2+3G^3/H x-G^3=0`

Let A;G;H be the arithmetic; geometric and harmonic means between three given no.a;b;c then the equation having a;b;c as its root is x^(3)-3Ax^(2)+3(G^(3))/(H)x-G^(3)=0

Let A;G;H be the arithmetic; geometric and harmonic means of two positive no.a and b then A>=G>=H

If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then the quadratic equation having a,b as its roots is x^2-2Ax+G^2=0.

If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then the quadratic equation having a,b as its roots is x^2-2Ax+G^2=0 .

If A and G are respectively arithmetic and geometric mean between positive no. a and b ; then the quadratic equation having a,b as its roots is x^2-2Ax+G^2=0 .

If A, G and H are the arithmetic mean, geometric mean and harmonic mean between unequal positive integers. Then, the equation Ax^2 -|G|x- H=0 has

If A, G and H are the arithmetic mean, geometric mean and harmonic mean between unequal positive integers. Then, the equation Ax^2 -|G|x- H=0 has

If A, G and H are the arithmetic, geometric and harmonic means between a and b respectively, then which one of the following relations is correct?

If A,G and H are the arithmetic mean, geometric mean and harmonic mean between unequal positive integers.Then,the equation Ax^(2)-IGlx-H=0 has (a) both roots are fractions (b) atleast one root which is negatuve fraction ( c) exactly one positive root (d) atleast one root which is an integer

If A_(1) , A_(2) , A_(3) , G_(1) , G_(2) , G_(3) , and H_(1) , H_(2) , H_(3) are the three arithmetic, geometric and harmonic means between two positive numbers a and b(a gt b) , then which of the following is/are true ?