JEE Novice - (2)

Algebra Level 2

(yz)2+(zx)2+(xy)2=(y+z2x)2+(x+z2y)2+(x+y2z)2(y-z)^2+(z-x)^2+(x-y)^2=(y+z-2x)^2+(x+z-2y)^2+(x+y-2z)^2

If x,yx,y and zz are real numbers that satisfy the equation above, then which of the following must be true?


This question is a part of JEE Novices.
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