A) \[(-12/5,17/5)\]
B) \[(-84/5,13/5)\]
C) \[(-6/5,17/5)\]
D) \[(0,-3)\]
Correct Answer: B
Solution :
[b] The equation of AB is \[y-1=\frac{0-1}{2-1}x\] or \[x+2y-2=0\] \[\left| PA-PB \right|\le AB\] Thus, \[\left| PA-PB \right|\] is maximum if the points A, B and P are collinear. Hence, solving \[x+2y-2=0\] and \[4x+3y+9=0\] we get point \[P(-84/5,13/5).\]You need to login to perform this action.
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