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