If the lines a x+y+1=0,x+b y+1=0 and x+y...

If the lines `a x+y+1=0,x+b y+1=0` and `x+y+c=0(a ,b ,c` being distinct and different from `1)` are concurrent, then prove that `1/(1-a)+1/(1-b)+1/(1-c)=1.`

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