If the line \( x+y-1=0 \) is a tangent to a parabola with focus \( ...

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If the line \( x+y-1=0 \) is a tangent to a parabola with focus \( (1,2) \) at \( A \) and intersects the directrix at \( B \) and tangent at vertex at \( C \) respectively, then \( A C \cdot B C \) is equal to :
\( \mathrm{P} \)
(a) 2
(b) 1
W
(c) \( \frac{1}{2} \)
(d) \( \frac{1}{4} \)
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