engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Lines

Through the point P(α, β) where αβ > 0, the straight line \(\frac{x}{a}+\frac{y}{b}=1\) is drawn so as to form a triangle of area S with coordinate axes. Then least value of S is

1
αβ
2
\(\frac{1}{2}\alpha \beta\)
3
2 αβ
4
4 αβ
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