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The three lines a x+b y+c=0, b x+c y+a=0...

The three lines `a x+b y+c=0, b x+c y+a=0` and `c x+a y+b=0` are concurrent only when

A

`a+b+c=1`

B

`a^(2)+b^(2)+c^(2)=a b+b c+c a`

C

`a^(3)+b^(3)+c^(3)=3 a b c`

D

`a^(3)+b^(3)+c^(3)=a b c`

Text Solution

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The correct Answer is:
C
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