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

If the roots of the equation `(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0` are equal, then `a^(2)+b^(2)+c^(2)` is equal to

A

D-penicillamine

B

`2a+b+c`

C

`3abc`

D

`ab+bc+ca`

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The correct Answer is:

C

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