PM and PN are the perpendiculars from any point P on the rectangular hyperbola xy=c2 to the asymptotes.
If the locus of the mid point of MN is a conic, then its eccentricity is
PM and PN are the perpendiculars from any point P on the rectangular hyperbola xy = 8 to the asymptotes. If the locus of the mid point of MN is a conic, then the least distance of (1, 1) to director circle of the conic is