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If the system of equations x+ay+az=0 , b...

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

A

zero

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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MODERN PUBLICATION-DETERMINANTS -Multiple Choice Questions - LEVEL - II
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