Consider the point A ≡ (0, 1) and B ≡ (2, 0). Let P be a point on the line 4x + 3y + 9 = 0. Coordinates of the point P such that |PA – PB| is maximum, are
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a
-845,135
b
-125,175
c
-65,175
d
none of these
answer is A.
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Detailed Solution
We have, |PA – PB | ≤ AB.Thus, for |PA – PB| to be maximum, point A, B and P must be collinear. The equation of line AB is x + 2y = 2Solving it with the given line, we get P = -845,135