If \( x \cos \alpha+y \sin \alpha=p \), a variable chord of the hyp...

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If \( x \cos \alpha+y \sin \alpha=p \), a variable chord of the hyperbola \( \frac{x^{2}}{a^{2}}-\frac{y^{2}}{2 a^{2}}=1 \) subtends a right angle at the
\( \mathrm{P} \)
W centre of the hyperbola, then the chords touch a fixed circle, find the radius of the circle.
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