If x + y + z = 0 then,
x^2 + y^2 + z^2/(x-y)^2 + (y-z)^2 + (z-x)^2 = ?  Choose the most appropriate option:
A) 0	B) 1	C) xyz	D) x+y+z	E) None
=&gt;(x + y + z)² = x² + y² + z² + 2xy + 2xz + 2yz   =&gt; x + y + z = 0 given   =&gt;So, x² + y² + z² = - 2(xy + xz + yz) .....(1)   (x² + y² + z²)   ------------------- = ?   (x-y)²+(y-z)²+(z-x)²   (x² + y² + z²)   ------------------------------------   2(x² + y² + z²)- 2(xy + xz + yz)   (x² + y² + z²)   ------------------------------- [:: from (1)]   2(x² + y² + z²) + x² + y² + z²   (x² + y² + z²)   ------------------ .........[::if x,y,z != 0, excluding the trivial case]   3(x² + y² + z²)   =&gt; ans 1/3   ANSWNoneR:None
<result>E</result>
If x + y + z = 0 then,
x^2 + y^2 + z^2/(x-y)^2 + (y-z)^2 + (z-x)^2 = ?