First slide
Hyperbola in conic sections
Question

The coordinates of a point common to a directrix and an asymptote of the hyperbola x225y216=1 are 

Moderate
Solution

Equation of the directrices of the given hyperbola

x225y216=1 are x=±5×525+16=±2541---i

Equations of the asymptotes of the given hyperbola are

x225y216=0---ii

The points of intersection of Eqs. (i) and (ii) are 

(±25/41,±20/41)

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