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Question

If (a – b)2 + (b – c)2 + (c – a)2 = 0, then __________.

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Solution

Given:(ab)2+(bc)2+(ca)2=0
(ab)2=0 and (bc)2=0 and (ca)2=0
ab=0 and bc=0 and ca=0
a=b and b=c and c=a
a=b=c
Hence, if (a – b)2 + (b – c)2 + (c – a)2 = 0, then a = b = c.


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