the asymptotes of the hyperbola having center at (1,-1) are parallel to the lines x+2y-3=0 and 2x+y+5=0 .if the hyperbola passing through the point (2,1) then its equation is

Asymptotes are passing through point 1,-1 then we find the equation of asymptotes because we know a point and slope of asymptotes and equation of hyperbola is A+k=0 where A is combine equation of asymptotes and k is constant . And we can find the value of k by hyperbola passing through point 2,1