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Question
Find the relation between x and y if the point M (x,y) is equidistant from R (0,9) and T (14 , 11).
Solution
Given : MR = MT
∴ MR2 = MT2
(x - 0)2 + (y - 9)2 = (x - 14)2 + (y - 11)2
x2 + y2 + 81 - 18y = x2 + 196 - 28x + y2 + 121 - 22y
81 - 18y = 196 - 28x +121 - 22y
28 x - 18 y + 22 y = 196 + 121 - 81
28 x + 4y = 236
7x + y - 58 = 0
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