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

a
-920,-125
b
320,125
c
920,-125
d
-920,125

detailed solution

Correct option is A

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

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