JEE Novice - (2)

Algebra Level 2

(y−z)2+(z−x)2+(x−y)2=(y+z−2x)2+(x+z−2y)2+(x+y−2z)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?

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Nihar Mahajan by Nihar Mahajan
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