In the \(xy\)- plane, \(PQ\) is a straight line. The coordinate of point \(P\) is \((a, b),\) where \(a > 0.\) Does poin

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In the \(xy\)- plane, \(PQ\) is a straight line. The coordinate of point \(P\) is \((a, b),\) where \(a > 0.\) Does point \(Q\) lie in the third quadrant?

Statement 1: The origin bisects \(PQ\) in \(1:1\) ratio.
Statement 2: The slope \(m\) of the line \(PQ\) is non-negative.

Answer: E

Source: e-GMAT