Solving the following equation. $\dfrac{x-a}{a^2}+\dfrac{y-b}{b^2}=\dfrac{1}{x-b}-\dfrac{1}{y-a}-\dfrac{1}{a-b}=0$. we get $x=\dfrac{a^2}{b}, \dfrac{a(2b-a)}{b}; y=\dfrac{b^2}{a}, \dfrac{b(2a-b)}{a}$
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