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both roots of the equation (x-a)(x-b)+(x...

both roots of the equation `(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0` are

A

`a + bomega +comega^(2) =0`

B

`a+bomega^(2)+comega=0`

C

`a^(2)+b^(2)+c^(2)-ab-bc-ca=0`

D

a+b+c=0

Text Solution

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The correct Answer is:
D
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