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The circle \( x^{2}+y^{2}=4 \) cuts the line joining the points \( A(1,0) \)
\( \mathrm{P} \) and \( B(3,4) \) at two points, \( P \) and \( Q \). Let \( B P / P A=\alpha \) and

W \( B^{\prime} Q A=\beta \). Then \( \alpha \) and \( \beta \) are the roots of the quadratic equation
(1) \( 3 x^{2}-16 x+21=0 \)
(2) \( x^{2}-8 x+7=0 \)
(3) \( x^{2}-9 x+8=0 \)
(4) none of these
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