Chord joining two distinct points \( P(a, 4 b) \) and P \( Q\left(c...

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Chord joining two distinct points \( P(a, 4 b) \) and
P \( Q\left(c,-\frac{16}{b}\right) \) (both are variable points) on the

W parabola \( y^{2}=16 x \) always passes through a fixed point \( (\alpha, \beta) \). Then, which of the following statements is correct?
(1) \( \alpha+\beta=2 \)
(2) \( \alpha-\beta=4 \)
(3) \( |\alpha|+|\beta|=8 \)
(4) \( |\alpha|=|\beta| \)
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