If \( (1+\alpha x)^{\mathrm{n}}=1+8 x+24 x^{2}+\ldots \) and a line through \( P(\alpha, n) \) c....

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If \( (1+\alpha x)^{\mathrm{n}}=1+8 x+24 x^{2}+\ldots \) and a line through \( P(\alpha, n) \) cuts the circle \( x^{2}+y^{2}=4 \) in \( A \) and \( B \), then
\( \mathrm{P} \)
\( P A \cdot P B= \)
W
(1) 4
(2) 8
(3) 16
(4) 32


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