" (iii) "(x+y)/(3a-b)=(y+z)/(3b-c)=(z+x)/(3c-a)(x+y+z)/(2(a+1))=(ax+by+cz)/(a^(2)+b^(2)+c^(2))

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^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by+cz).

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)/(a)=(y)/(b)=(z)/(c), then show that (x^(3)+a^(3))/(x^(2)+a^(2))+(y^(3)+b^(3))/(y^(2)+b^(2))+(z^(3)+c^(3))/(z^(2)+c^(2))=((x+y+z)^(3)+(a+b+c)^(2))/((x+b+z)^(2)+(a+b+c)^(2))

If (x^(2))/(by+cz) = (y^(2))/(ax+ cz) = (z^(2))/(ax + by)=2 (a)/(x+2a) + (b)/(y+2b) + (c )/(z+2c) = ?

If (x^(2))/(by+cz) = (y^(2))/(ax+ cz) = (z^(2))/(ax + by)=2 (x)/(x+2a) + (y)/(y+ 2b) + (z)/(z+ 2c) = ?

If (by+cz)/(b^2+c^2)=(cz+ax)/(c^2+a^2)=(ax+by)/(a^2+b^2) then prove that x/y=y/b=z/c

(x^(2))/(by + cz) = (y^(2))/(ax + cz)= (z^(2))/(ax + by)=1 find (a)/(x+a) + (b)/(y+b)+ (c )/(z+c ) = ?