The coordinates of a point common to a directrix and an asymptote of the hyperbola \( \frac{x^{2....

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The coordinates of a point common to a directrix and
\( \mathrm{P} \)
an asymptote of the hyperbola \( \frac{x^{2}}{25}-\frac{y^{2}}{16}=1 \) are
(1) \( \left(\frac{25}{\sqrt{41}}, \frac{20}{\sqrt{41}}\right) \)
(2) \( \left(\frac{-25}{\sqrt{41}}, \frac{24}{\sqrt{41}}\right) \)
(3) \( \left(\frac{25}{3}, \frac{20}{3}\right) \)
(4) \( \left(\frac{-25}{3}, \frac{-20}{3}\right) \)


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