If `A^(x)=G^(y)=H^(z)`, where `A,G,H` are AM,GM and HM between two given quantities, then prove that `x,y,z` are in HP.

If A,G,H are AM,GM,HM between the two numbers a and b ,then A ,G,H are in

If f(x)=x^(2)-(a+b)x+ab and A and H be the A.M. and H.M. between two quantities a and b, then

If A, G and H are AM, GM and HM of any two given positive numbers, then find the relation between A, G and H.

If a and b are two positive numbers, then prove that A.M. ge G.M. ge H.M.

If A, G, H denote respectively the AM, GM and HM between two unequal positive numbers, then

If x,1, and z are in A.P.and x,2, and z are in G.P.then prove that x, and 4,z are in H.P.

If A_(1),A_(2),G_(1),G_(2) and H_(1),H_(2) be two AMs,GMs and HMs between two quantities then the value of (G_(1)G_(2))/(H_(1)H_(2)) is

If x,y,z are AM, GM and HM of two positive numbers respectively, then correct statement is -