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Points P satisfy PA = PB with A(1, 2) and B(3, 4). What is the equation of this set?

Ax - y = 5
Bx + y = 5
Cx + y = 7
Dx - y = -1
Answer & Solution
Correct answer: B. x + y = 5
Equating squared distances gives 4x + 4y = 20, that is x + y = 5, the perpendicular bisector of the join.
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