What Is The Equation Of The Locus Of The Points Which Are Equidistant From The Points(2,3)and(4,5}?

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3 Answers

Anonymous Profile
Anonymous answered
X is the same as y.
Anonymous Profile
Anonymous answered
Draw and describe the locus that is equidistant from end points (4,6) and (6,4). Write an equation for that locus.
Yasser Hussain Profile
Yasser Hussain answered
ANSWER:
(x-2).(x-2) + (y-3).(y-3) = (x-4).(x-4)+(y-5).(y-5)
=>x.x + 4 - 4x + y.y + 9-6y = x.x + 16 - 8x + y.y + 25 - 10y
=>4 - 4x + 9 - 6y = 16 - 8x + 25 - 10y
=>13 - 4x - 6y = 41 - 8x - 10y
=>8x - 4x + 10y - 6y = 41
=>4x + 4y = 28
=> x + y = 7

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