The correct option is B a,b,c are the roots of the given equation
a2(x−b)(x−c)(a−b)(a−c)+b2(x−c)(x−a)(b−c)(b−a)+c2(x−a)(x−b)(c−a)(c−b)=x2
By observation,
x=a,x=b,x=c satisfy the given equation.
⇒a,b,c are the roots
and there are 3 roots which is greater than the degree of the given equation.
⇒ It is a identity.