The coordinates of a point common to a directrix and an asymptote of the hyperbola x225−y216=1 are

Equation of the directrices of the given hyperbolax225−y216=1 are x=±5×525+16=±2541---iEquations of the asymptotes of the given hyperbola arex225−y216=0---iiThe points of intersection of Eqs. (i) and (ii) are (±25/41,±20/41)