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if the system of equation ax+y+z=0, x+by...

if the system of equation `ax+y+z=0, x+by=z=0,and x+y+cz=0 (a,b,c!=1)` has a nontrival solution , then the value of `1/(1-a)+1/(1-b)+1/(1-c) is`:

A

`-1`

B

0

C

1

D

none of these

Text Solution

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The correct Answer is:
C
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