P (asec@,btan@) lies on the hyperbola x<sup>2</sup>/a<sup>2</sup> - y<sup>2</sup>/b<sup>2</sup> = 1. the tangent at P is also a tangent of a circle. (x - ae)<sup>2</sup> + y<sup>2</sup> = a<sup>2</sup>(e<sup>2</sup>+1)
show that sec@ = -e
(btw delta = 0 is too big ... so perpendicular...