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The quadratic equation (x-a)(x-b)+(x-b)(...

The quadratic equation `(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0` has equal roots if

A

`a ne b, b= c`

B

`a = b, b ne c`

C

`a ne b, b ne c`

D

`a = b, b= c`

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The correct Answer is:
D
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