The asymptotes of the hyperbola xy = hx + ky are

The given hyperbola is xy-hx-lq=0 -----1The equation of asymptotes is given by xy−hx−ky+c=0----2Equation (2) gives a pair of straight lines. So, AHGHBFGFC=0or 01/2−h/21/20−k/2−h/2−k/2c=0or  hk8+hk8−c4=0or  c=hkHence, the asymptotes are     xy−hx−ky+hk=0 or      (x−k)(y−h)=0