Question 31
Three points $A$, $B$, $C$, are marked on the hyperbola $y = 1/x$ so that the triangle $ABC$ is equilateral.
Find all possible values of the product of the sum of abscissae and the sum of ordinates of the vertices of $ABC$.
Find all possible values of the product of the sum of abscissae and the sum of ordinates of the vertices of $ABC$.