The condition that the chord \( x \cos \alpha+y \sin \alpha-p=0 \) of \( x^{2}+y^{2}-a^{2}=0 \) ...

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The condition that the chord \( x \cos \alpha+y \sin \alpha-p=0 \) of \( x^{2}+y^{2}-a^{2}=0 \) may subtend a right angle at the center of the circle is
(A) \( a^{2}=2 p^{2} \)
(B) \( p^{2}=2 a^{2} \)
(C) \( a=2 p \)
(D) \( p=2 a \)
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