If H be the harmonic mean between x and y, then show that `(H+x)/(H-x)+(H+y)/(H-y)=2`

Statement -I: If H is the harmonic mean between a and b then (H+ a)/(H-a)+(H+ b)/(H- b)=1/2 Statement - II : If H is the harmonic mean between x and y then H=(2xy)/(x+y)

Statement-I: If H is the harmonic mean between a and b then (H+a)/(H-a)+(H+b)/(H-b)=(1)/(2) Statement -II: If H is the harmonic mean between x and y then H=(2xy)/(x+y)

If H_(1) , H_(2) are two harmonic means between two positive numbers a and b , (a != b) , A and G are the arithmetic and geometric means between a and b , then (H_(2) + H_(1))/(H_(2) H_(1)) is

If H_(1),H_(2) are two harmonic means between two positive numbers a and b (aneb) , A and G are the arithmetic and geometric means between a and b, then (H_(2)+H_(1))/(H_(2)H_(1)) is

If 2 (y - a) is the H.M. between y - x and y - z then x-a, y-a, z-a are in

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