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

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

A

`a+b+c`

B

abc

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
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