If `(ax)/y+(by)/x=c,(by)/z+(cz)/y=a,(cz)/x+(ax)/z=b,` then the value of `(yz)/x^2+(zx)/y^2+(xy)/z^2`

If (x^(2))/(by+cz)=(y^(2))/(cz+ax)=(z^(2))/(ax+by)=1 , then value of (a)/(a+x) +(b)/(b+y) +(c )/(c+z) is

If x + y + z = 0 , then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(xy) is:

If a^2=by +cz " " b^2=cz+ax and c^2=ax+by , then the value of (x)/(a+x) + (y)/(b+y) +(z)/(c+z) will be

If (x+y)/(3a-b) = (y+z)/(3b-c) = (z+x)/(3c-a) , then show that (x+y+z)/(a+b+c)= (ax + by+cz)/(a^(2)+b^(2)+c^(2))

If ( x +y+z ) = 9 and ( xy + yz + zx ) = 26 then find the value of x^(2) + y^(2) z^(2)