Question 48
Let $a$ and $b$ be two different real numbers. For which $x$ does the equality $\frac{x-a}{x-b} = \frac{x-b}{x-a}$ hold?
(A) $\frac{a-b}{2}$
(B) $\frac{a^2+b^2}{a+b}$
(C) $\frac{a^2+b^2}{2(a+b)}$
(D) $a+b$
(E) $\frac{a+b}{2}$
(A) $\frac{a-b}{2}$
(B) $\frac{a^2+b^2}{a+b}$
(C) $\frac{a^2+b^2}{2(a+b)}$
(D) $a+b$
(E) $\frac{a+b}{2}$