If \(ab\ne 0\) and points \((-a, b)\) and \((-b, a)\) are in the same quadrant of the \(xy\)-plane, is point \((-x, y)\)

[Gmat_mission]

If \(ab\ne 0\) and points \((-a, b)\) and \((-b, a)\) are in the same quadrant of the \(xy\)-plane, is point \((-x, y)\) in the same quadrant?

(1) \(xy > 0\)
(2) \(ax > 0\)

Answer: C

Source: GMAT Prep