In the \(xy\)-plane, point \(O\) is located at the origin, point \(A\) has coordinates \((p,q),\) and point \(B\) has

[Gmat_mission]

In the \(xy\)-plane, point \(O\) is located at the origin, point \(A\) has coordinates \((p,q),\) and point \(B\) has coordinates \((r,0).\) If \(p, q,\) and \(r\) are all positive values and \(AO > AB,\) is the area of triangular region \(ABO\) less than \(12?\)

(1) \(r = 7\)

(2) \(p = 4\) and \(q = 3\)

Answer: B

Source: Princeton Review