Let \( \mathrm{a} \) and \( \mathrm{b} \) respectively be the semit...

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Let \( \mathrm{a} \) and \( \mathrm{b} \) respectively be the semitransverse and
\( \mathrm{P}^{16:} \) semi-conjugate axes of a hyperbola whose
\( \mathrm{V} \) eccentricity satisfies the equation \( 9 e^{2}-18 e+5=0 \). If \( S(5,0) \) is a focus and \( 5 x=9 \) is the corresponding directrix of this hyperbola, then \( a^{2}-b^{2} \) is equal to:
(1) 7
(2) -7
(3) 5
(4) -5
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