Find the relation between x and y such that the points (x,y) is equidistant from the points ( 17,-9) and (-3,11).
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Let P(x, y) be equidistant from the points A(7, 1) and B(3, 5).
Given, AP = BP
AP2 = BP2
By distance formula,
(x - 7)2 + (y - 1)2 = (x - 3)2 + (y - 5)2
x2 + 49 - 14x + y2 + 1 - 2y = x2 + 9 - 6x + y2 + 25 - 10y
-7x + 25 - y = -3x + 17 - 5y
-4x + 8 + 4y = 0
x - y = 2
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