Through the point \( P(\alpha, \beta) \), where \( \alpha \beta0 \), the straight line \( \frac{...

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Through the point \( P(\alpha, \beta) \), where \( \alpha \beta0 \), the straight line \( \frac{x}{a}+\frac{y}{b}=1 \) is drawn so as to form with axes a triangle of area \( S \). If \( a b0 \), then least value of \( S \) is
(A) \( \alpha \beta \)
(B) \( 2 \alpha \beta \)
(C) \( 3 \alpha \beta \)
(D) None of these
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