If `x,z and y` are in A.P. where x,y and z are distinct numbers then evaluate `x/(x-z)+z/(y-z)`

If x,y,z are positive numbers in A.P.,then

If x,y,z, are real and distinct number, then the value of ((x-y)^3+(y-z)^3+(z-x)^2)/((x-y)(y-z)(z-y)) is

If x,y,z are positive numbers in A.P., then

If x,y,z are positive numbers in A.P., then

If x, 2y and 3z are in AP where the distinct numbers x,y and z are in GP, then the common ratio of the GP is

If x,y,z are distinct positive numbers,then prove that (x+y)(y+z)(z+x)>8xyz

If x,y,z are positive distinct integers, then (x+y) (y+z) (z+x), is

If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z+x)> 8x y zdot

If x,2y, 3z are in A.P. where the distinct numbers x,y,z are in G.P., then the common ratio of the G.P. is :