Find the relation between x and y such that (x,y) is equidistant from (7,1) and
(3,5)
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Answer:
x-y=2
let P(x,y) , A(7,1) and B (3,5)
P is equidistant so, AP =BP
By distance formula,
(7-x)²+(1-y)²= (3-x)²+(5-y)²
49-14x+x²+1-2y+y²=9-6x+x²+25-10y+y²
49+1-14x-2y=9+25-6x-10y
50-14x-2y=34-6x-10y
-14x+6x-2y+10y=34-50
-8x+8y=-16
8x-8y=16
x-y=2
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