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Question

If a×b=b×c=c×a then a+b+c=

A
abc
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B
1
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C
0
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D
2
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Solution

The correct option is C 0
×b=b×c=c×a ...... (1)
b×a=c×b=a×c........... (2)
(a+b+c)2=(a+b+c)×(a+b+c)
((a×a)+(a×b)+(a×c))+((b×a+(b×b)+(b×c))+((c×a)+(c×b)+(c×c))
(0+(a×bc×a)+((a×b)+0+b×c)+(c×a+(b×c)+0) [from (1) & (2), we get]
(0+0)+(0+0)+(0+0)
=0
Option C is correct

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