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\,


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