In the above problem, coordinates of the point P such that |PA – PB| is minimum are

The minimum value of |PA – PB| is zero which is attained if PA = PB, i.e., P must lie on the perpendicular bisector of AB.The equation of perpendicular bisector of AB isy=12=2(x-1)   or    y=2x-32Solving it with the given line, we get P≡-920,-125