Every point in the \(xy\) plane satisfying the condition \(ax + by \ge c\) is said to be in region \(R.\) If \(a, b\)

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Every point in the \(xy\) plane satisfying the condition \(ax + by \ge c\) is said to be in region \(R.\) If \(a, b\) and \(c\) are real numbers, does any point of region \(R\) lie in the third quadrant?

(1) Slope of the line represented by \(ax + by - c = 0\) is \(2.\)
(2) The line represented by \(ax + by - c = 0\) passes through \((-3, 0).\)

[spoiler]OA=A[/spoiler]

Source: Veritas Prep
Source: — Data Sufficiency |