H1:xy=c2 and H2:xy=k2 are two different hyperbolas. From a point on H1, tangents are drawn to H2.Area of the triangle formed by the chord of contact and the asymptote to H2 is

Equation of the chord of contact from ct,ct on H1  to H2 is (ct)x+cty=2k2. Asymptote of H2 are x = 0 and y = 0 and the chord meetsthese asymptotes at A 2k2ct,0 and B0,2k2tcArea of the required triangle is 122k2ct2k2tc=2k4c2