Alg6.22

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Find the equation of locus of points Psuch that distance of P from origin is twice the distance of P from A(1,2)\,

The geometric condition is

OP=PA\,

OP^{2}=PA^{2}\,

(x-0)^2+(y-0)^2=(x-1)^2+(y-2)^2\,

x^2+y^2=x^2+1-2x+y^2-4y+4\,

2x+4y-5=0\,


Main Page:Geometry:Basics

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