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If the system of equations x + ay + az...

If the system of equations
`x + ay + az = 0`
`bx + y + bz = 0`
`cx + cy + z = 0`
where a, b and c are non-zero non-unity, has a non-trivial solution, then value of `(a)/(1 -a) + (b)/(1 b) + (c)/(1 -c)` is

A

0

B

1

C

`-1`

D

`(abc)/(a^2+b^2+c^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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