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If a,b,c are non - zero real numbers and...

If a,b,c are non - zero real numbers and if the equations :
`(a-1)x=y+z,(b-1)y=z+x,(c-1)z=x+y` has a non - trivial solution, ab+bc+ca equals :

A

a+b+c=0

B

abc

C

1

D

None of these

Text Solution

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The correct Answer is:
B
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