A curve is traces by a point P(x,y) which moves such that its distance from the point A(1, -2) is twice its distance from the point B(4, -3). Determine the equation of the curve

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goformit100 · Answer

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anonymous · Answer

If $d_1$ is the distance between P and A, and $d_2$ is the distance between P and B, then you have the following system of equations:
$$\begin{cases}d_1=\sqrt{(x-1)^2+(y+2)^2}\d_2=\sqrt{(x-4)^2+(y+3)^2}\d_1=2d_2\end{cases}$$
It looks like you must solve for $y$ in terms of $x$.

anonymous · Answer

Thank you but I am still kinda confused so to go further to find the equation you would?