Locus question (1 Viewer)

[vice lord]

A circle passing though the origin O is tangent to the hyperbola xy = 1 at A , and intersects the hyperbola again at 2 distinct points B and C . Prove OA is perpendicular to BChttp://www.intmath.com/Plane-analytic-geometry/xyis1.gif

 

[jet]

This is not actually a locus question, just so you know.