question_answer

If \[a,b,c\in R\], then the roots of the equation\[(x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0\] are equal if and only if

A)  \[a=0,b=1,c=1\]

B)                                                                                         \[a=b=c\]  

C)  a = 1, b = 0, c = 1

D)        \[a\ne 1,b=1,c=1\]