11 + x^ ( b - a ) + x^ ( c - a ) + 11 + x^ ( a - b ) + x^ ( c - b ) + 11 + x^ ( b - c ) + x^ ( a - c ) = ?

Answer: Option B

Given exp. =
$$=\frac{1}{\left(1+\frac{x^b}{x^a}+\frac{x^c}{x^a}\right)}+$$   $$\frac{1}{\left(1+\frac{x^a}{x^b}+\frac{x^c}{x^b}\right)}+$$   $$\frac{1}{\left(1+\frac{x^b}{x^c}+\frac{x^a}{x^c}\right)}$$
$$=\frac{x^a}{\left(x^a+x^b+x^c\right)}+$$   $$\frac{x^b}{\left(x^a+x^b+x^c\right)}+$$   $$\frac{x^c}{\left(x^a+x^b+x^c\right)}$$
$$\begin{array}{rl}& =\frac{x^a+x^b+x^c}{x^a+x^b+x^c}\\ & =1\end{array}$$