It is known that there are two points a (- 1,1) and B (3,2) in the plane rectangular coordinate system. Find the point C on the x-axis so that △ ABC is an isosceles triangle

It is known that there are two points a (- 1,1) and B (3,2) in the plane rectangular coordinate system. Find the point C on the x-axis so that △ ABC is an isosceles triangle

Connecting AB, the slope of the straight line is (2-1) \ \ (3 = 1) = o.25, the midpoint of AB is (0.5,2), the slope of the vertical bisector of AB is (- 1) \ \ 0.25 = (- 4), and any point of the straight line Y-2 = - 4 (x-0.5) meets the requirements