It is given that a rectangular hyperbola whose asymptotes are parallel to coordinate axis and point of intersection of perpendicular tangents (means centre of hyperbola) is (1,1), the equation of hyperbola we can take as (x−1)(y−1)=k...(i) ∵ Hyperbola (i) passes through point (3,2), so k=2 Therefore equation of the required hyperbola is