If `x ,y ,z` are positive numbers is `AdotPdot,t h e n` (a)`y^2geqx z` (b)`x y+y zgeq2x z` (c)`(x+y)/(2y-x)+(y+z)/(2y-z)geq4` (d) none of these

If x.y,z are positive real numbers such that x^(2)+y^(2)+z^(2)=27, then x^(3)+y^(3)+z^(3) has

If x + y = 2z then (x)/(x-z) +(z)/(y-z) = ?

If x(x+y+z) =4, y(x+y+z)=16 and z (x+y+z)=29 and x, y & z are positive numbers. Find x, y & z=?

If (x)/(2x+y+z) =(y)/(x+2y+z) =(z)/(x+y+2z) then each terms is equal to

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then x=y+z (b) 2x=y+z( c) x=2y+2z(d) None of these

If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x) , then :