Posted by **justin** on Tuesday, October 16, 2007 at 9:14pm.

A tangent line is drawn to the hyerbola xy=c at a point P.

1) show that the midpoint of the line segment cut from the tangent line by the coordinate axes is P.

2) show that the triangle formed by the tangent line and the coordinate axes always has the same area, no matter where P is located on the hyperbola.